[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"_public_publisher_byId_05f9ea8f-4159-4012-ae2b-264fe00bc4de":3,"_public_publication_all{\"sortAscending\":false,\"sortField\":\"updateTime\",\"page\":0,\"size\":10,\"facet\":true,\"searchKey\":\"publisherId:05f9ea8f-4159-4012-ae2b-264fe00bc4de,\"}":84},{"code":4,"data":5,"meta":24},"SUCCESS",{"id":6,"createTime":7,"updateTime":8,"relativeEntities":9,"slug":10,"properties":11,"entityType":22,"verifyStatus":23,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":25,"subjectFields":26,"manageAffiliations":33,"indexDatabases":48,"url":83,"thumbnailPath":24,"statistic":24,"gsStatistic":24,"type":24,"analyzePriority":24},"05f9ea8f-4159-4012-ae2b-264fe00bc4de","2023-05-29T10:46:57.303+00:00","2025-11-21T09:56:03.826+00:00",[],"Applied-Mechanics-Reviews",{"country":12,"eissn":14,"issn":16,"title":18,"introduce":20},{"VOID":13},"US",{"VOID":15},"10888535",{"VOID":17},"00036900",{"EN":19},"Applied Mechanics Reviews",{"EN":21},"Applied Mechanics Reviews (AMR) is an international review journal that serves as a premier venue for dissemination of material across all subdisciplines of applied mechanics and engineering science, including fluid and solid mechanics, heat transfer, dynamics and vibration, and applications. AMR provides an archival repository for state-of-the-art and retrospective survey articles and reviews of research areas and curricular developments. The journal invites commentary on research and education policy in different countries. The journal also invites original tutorial and educational material in applied mechanics targeting non-specialist audiences, including undergraduate and K-12 students.","PUBLISHER","PENDING",null,0,[27],{"id":28,"createTime":24,"updateTime":24,"relativeEntities":29,"label":30,"description":32,"parentId":24,"standard":24,"scholarHubFieldId":24},"5587dea8-ebb6-4a42-8493-b6dd63ea819a",[],{"EN":31},"Mechanical Engineering",{},[34,41],{"id":35,"createTime":24,"updateTime":24,"relativeEntities":36,"slug":24,"properties":37,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":40,"statistic":24},"59f5be8f-a236-4c28-abf4-46d925a35703",[],{"title":38},{"EN":39},"The American Society of Mechanical Engineers(ASME)",[],{"id":42,"createTime":24,"updateTime":24,"relativeEntities":43,"slug":24,"properties":44,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":47,"statistic":24},"77050c4c-4ecb-4558-96e9-2c2ceaf963b7",[],{"title":45},{"EN":46},"ASME",[],[49,66],{"id":50,"indexDatabase":51,"url":63,"indexYears":24,"academicFieldIds":64,"indexDatabaseRanking":24},"f6159911-3b27-4098-b49e-293beba4e8cb",{"id":52,"createTime":24,"updateTime":24,"relativeEntities":53,"label":54,"description":56,"key":59,"publicationTags":60,"standard":24},"a4921856-b128-4d9f-8f1f-e80813d3bbd4",[],{"EN":55,"VI":55},"ISI\u002FSCIE - Science Citation Index Expanded",{"EN":57,"VI":58},"SCIE database","Cơ sở dữ liệu SCIE","scie",[61,62],"SCIE","ISI","https:\u002F\u002Fmjl.clarivate.com\u002Fsearch-results?issn=0003-6900",[65],"8664ba15-34fc-4398-9bcb-b25d957a0827",{"id":67,"indexDatabase":68,"url":78,"indexYears":79,"academicFieldIds":80,"indexDatabaseRanking":82},"1f2093f4-2961-41ab-aadd-bab1fa60f741",{"id":69,"createTime":24,"updateTime":24,"relativeEntities":70,"label":71,"description":73,"key":75,"publicationTags":76,"standard":24},"3c7051d4-eb7d-4c57-a56b-36fc74c5d1e9",[],{"EN":72,"VI":72},"Scopus - Elsevier",{"EN":72,"VI":74},"Cơ sở dữ liệu Scopus thuộc Elsevier","scopus",[77],"SCOPUS","https:\u002F\u002Fwww.scopus.com\u002Fsourceid\u002F15163","1965,1969-2011,2013-2024",[81],"9d2ac5e3-41a0-4e3f-9001-acfb87e489bc","SCOPUS__Q1","https:\u002F\u002Fasmedigitalcollection.asme.org\u002Fappliedmechanicsreviews",{"meta":85,"data":87},{"total":86},"59",[88,761,864,1136,2500,2591,2700,2810,2930,3035],{"id":89,"createTime":90,"updateTime":91,"relativeEntities":92,"slug":93,"properties":94,"entityType":107,"verifyStatus":108,"verifyTime":90,"verifyNote":109,"languages":110,"translateLanguages":24,"viewCount":25,"primaryUrl":112,"fullTextUrl":24,"authors":113,"publicationType":131,"publisherRelationship":132,"citationCount":178,"citationInfo":179,"publishDate":190,"publishYear":180,"citationAnalyzeStatus":191,"lastCitationAnalyze":192,"indexDatabases":193,"openAccess":24,"references":194,"isForceReanalyzing":760},"1874981e-c085-41ee-80d7-bf0bbb66768a","2024-11-25T22:27:42.624+00:00","2026-02-19T21:52:17.970+00:00",[],"Mechanics-and-thermodynamics-of-saturated-unsaturated-porous-materials-and-quantitative-solutions-",{"openalex":95,"mag":97,"abstract":99,"title":101,"gsPaper":103,"doi":105},{"VOID":96},"W1985273331",{"VOID":98},"1985273331",{"EN":100},"\u003Cjats:p>Models for thermo-hydro-mechanical behavior of saturated\u002Funsaturated porous media are reviewed. The necessary balance equations are derived using averaging theories. Constitutive equations are obtained using the Coleman-Noll procedure and thermodynamic equations for the model closure are introduced. A particular form of the governing equations is then solved numerically and the numerical properties are discussed. Application examples conclude the paper. There are 165 references in this review article.\u003C\u002Fjats:p>",{"EN":102},"Mechanics and thermodynamics of saturated\u002Funsaturated porous materials and quantitative solutions*",{"VOID":104},"[]",{"VOID":106},"10.1115\u002F1.1484107","PUBLICATION","VERIFIED","Auto Verify",[111],"EN","https:\u002F\u002Fasmedigitalcollection.asme.org\u002Fappliedmechanicsreviews\u002Farticle\u002F55\u002F4\u002F351\u002F458333\u002FMechanics-and-thermodynamics-of",[114],{"id":115,"sortIndex":25,"researcher":24,"roles":116,"affiliations":117,"properties":126,"displayName":128,"givenName":24,"familyName":24},"6877fb0d-2d3b-44e6-840c-9d1456f0d5c4",[],[118],{"id":119,"sortIndex":25,"affiliation":120,"properties":24},"625a9f2e-168f-4644-bea4-8958a00d02da",{"id":119,"createTime":24,"updateTime":24,"relativeEntities":121,"slug":24,"properties":122,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":125,"statistic":24},[],{"title":123},{"EN":124},"Department of Structural and Transportation Engineering, University of Padua, Via Marzolo 9, 35131 Padova, Italy; Bernhard.schrefler@unipd.it",[],{"title":127,"openalex":129},{"EN":128},"BA Schrefler",{"VOID":130},"A5109467601","ARTICLE",{"url":24,"publisher":133,"properties":171},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":134,"slug":10,"properties":135,"entityType":22,"verifyStatus":23,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":25,"subjectFields":140,"manageAffiliations":145,"indexDatabases":156,"url":83,"thumbnailPath":24,"statistic":24,"gsStatistic":24,"type":24,"analyzePriority":24},[],{"country":136,"eissn":137,"issn":138,"title":139},{"VOID":13},{"VOID":15},{"VOID":17},{"EN":19},[141],{"id":28,"createTime":24,"updateTime":24,"relativeEntities":142,"label":143,"description":144,"parentId":24,"standard":24,"scholarHubFieldId":24},[],{"EN":31},{},[146,151],{"id":35,"createTime":24,"updateTime":24,"relativeEntities":147,"slug":24,"properties":148,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":150,"statistic":24},[],{"title":149},{"EN":39},[],{"id":42,"createTime":24,"updateTime":24,"relativeEntities":152,"slug":24,"properties":153,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":155,"statistic":24},[],{"title":154},{"EN":46},[],[157,164],{"id":50,"indexDatabase":158,"url":63,"indexYears":24,"academicFieldIds":163,"indexDatabaseRanking":24},{"id":52,"createTime":24,"updateTime":24,"relativeEntities":159,"label":160,"description":161,"key":59,"publicationTags":162,"standard":24},[],{"EN":55,"VI":55},{"EN":57,"VI":58},[61,62],[65],{"id":67,"indexDatabase":165,"url":78,"indexYears":79,"academicFieldIds":170,"indexDatabaseRanking":82},{"id":69,"createTime":24,"updateTime":24,"relativeEntities":166,"label":167,"description":168,"key":75,"publicationTags":169,"standard":24},[],{"EN":72,"VI":72},{"EN":72,"VI":74},[77],[81],{"issue":172,"pages":174,"volume":176},{"VOID":173},"4",{"VOID":175},"351-388",{"VOID":177},"55",176,{"total":178,"publishYear":180,"statisticByYear":181},2002,{"2012":182,"2013":183,"2014":183,"2015":184,"2016":185,"2017":186,"2018":187,"2019":182,"2020":186,"2021":188,"2022":186,"2023":187,"2024":189},5,9,10,11,8,7,4,3,"2002-07-01","ERROR_IN_GET_PLATFORM_ID","2026-02-19T21:52:17.969+00:00",[61,82],[195,198,202,205,208,212,215,218,221,224,227,230,233,236,239,242,245,248,251,255,259,263,266,270,274,278,282,285,288,291,294,297,300,304,308,312,316,320,324,327,330,333,336,340,343,346,349,353,357,361,364,368,372,376,379,383,386,390,393,396,400,404,407,410,413,417,420,423,426,429,432,436,440,443,446,450,454,458,461,464,467,470,474,478,481,485,489,493,496,500,504,507,511,515,518,521,524,528,532,535,538,542,546,550,553,557,560,563,566,570,573,577,580,583,586,590,594,598,601,605,609,612,615,619,622,625,628,632,636,639,642,645,648,651,654,657,661,664,668,672,675,678,682,685,688,691,694,697,700,704,707,711,714,717,720,723,726,730,733,736,739,743,747,750,753,757],{"id":24,"text":196,"url":24,"identifiers":197},"Svendsen B and Hutter K (1995), On the thermodynamics of a mixture of isotropic materials with constraints, Int. J. Eng. Sci. 33, 2021–2054.",{},{"id":24,"text":199,"url":24,"identifiers":200},"de Boer R (1996), Highlights in the historical development of the porous media theory: Toward a consistent macroscopic theory, Appl. Mech. Rev. 49(4), 201201.",{"doi":201},"10.1115\u002F1.3101926",{"id":24,"text":203,"url":24,"identifiers":204},"Woltman R (1794), Beitraege zur Hydraulischen Architektur, Dritter Band, Johann Christian Dietrich, Goettingen.",{},{"id":24,"text":206,"url":24,"identifiers":207},"Delesse A (1848), Pour determiner la composition des roches, Annales des Mines, 3 se´rie 13, 379–388.",{},{"id":24,"text":209,"url":24,"identifiers":210},"Fick A (1855), Ueber diffusion, Annalen der Physik und Chemie 94, 59–86.",{"doi":211},"10.1002\u002Fandp.18551700105",{"id":24,"text":213,"url":24,"identifiers":214},"Darcy H (1856), Les Fontaines Publiques de la Ville de Dijon, Dalmont, Paris.",{},{"id":24,"text":216,"url":24,"identifiers":217},"Stefan J (1871), Ueber das Gleichgewicht und die Bewegung, insbesondere die Diffusion von Gasmengen, Sitzungsber Akad Wiss Math-Naturwiss KI Abt II a, Wien 63, 63–124.",{},{"id":24,"text":219,"url":24,"identifiers":220},"Fillunger P (1913), Der Auftrieb in Talsperren, Oesterr. Wochenschrift fuer den oeffentl. Baudienst, 19, 532–556,",{},{"id":24,"text":222,"url":24,"identifiers":223},"1913 19 567–570.",{},{"id":24,"text":225,"url":24,"identifiers":226},"von Terzaghi K (1923), Die Berechnung der Durchlaessigkeitsziffer des Tones aus dem Verlauf der hydrodynamischen Spannungserscheinungen, Sitzungsber Akad Wiss, Math-Naturwiss KI Abt IIa, 132, No. 3\u002F4, pp. 125–138.",{},{"id":24,"text":228,"url":24,"identifiers":229},"Biot MA (1941), General theory of three-dimensional consolidation, J. Appl. Phys. 12, 155–164.",{},{"id":24,"text":231,"url":24,"identifiers":232},"Biot MA (1956), General solution of the equation of elasticity and consolidation for a porous material, ASME J. Appl. Mech. 23, 91–96.",{},{"id":24,"text":234,"url":24,"identifiers":235},"Coussy O (1995), Mechanics of Porous Continua, J Wiley, Chichester.",{},{"id":24,"text":237,"url":24,"identifiers":238},"Morland LW (1972), A simple constitutive theory for fluid saturated porous solids, J. Geophys. Res. 77, 890–900.",{},{"id":24,"text":240,"url":24,"identifiers":241},"Goodman MA and Cowin SC (1972), A continuum theory for granular materials, Arch. Ration. Mech. Anal. 44, 249–266.",{},{"id":24,"text":243,"url":24,"identifiers":244},"Sampaio R and Williams WO (1979), Thermodynamics of diffusing mixtures, J. Mec. 18, 19–45.",{},{"id":24,"text":246,"url":24,"identifiers":247},"Bowen RM (1982), Compressible porous media models by use of theories of mixture, Int. J. Eng. Sci. 20, 697–735.",{},{"id":24,"text":249,"url":24,"identifiers":250},"Bowen RM (1980), Incompressible porous media models by use of the theory of mixtures, Int. J. Eng. Sci. 18, 1129–1148.",{},{"id":24,"text":252,"url":24,"identifiers":253},"Passman SL, Nunziato JW, and Walsh EK (1984), A theory of multiphase mixtures Rational Thermodynamics, C Truesdell (ed), Springer Verlag, Berlin.",{"doi":254},"10.1007\u002F978-1-4612-5206-1_15",{"id":24,"text":256,"url":24,"identifiers":257},"Hassanizadeh M and Gray WG (1979), General conservation equations for multiphase systems: 1 Averaging procedure, Adv. Water Resour. 2, 131–144.",{"doi":258},"10.1016\u002F0309-1708(79)90025-3",{"id":24,"text":260,"url":24,"identifiers":261},"Hassanizadeh M and Gray WG (1979), General conservation equations for multiphase systems: 2 Mass, momenta, energy and entropy equations, Adv. Water Resour. 2, 191–203.",{"doi":262},"10.1016\u002F0309-1708(79)90035-6",{"id":24,"text":264,"url":24,"identifiers":265},"Whitaker S (1980), Heat and mass transfer in granular porous media, Advances in Drying1, Hemisphere, New York.",{},{"id":24,"text":267,"url":24,"identifiers":268},"Auriault JL (1987), Non saturated deformable porous media: Quasistatics, Transp. Porous Media 2, 45–64.",{"doi":269},"10.1007\u002FBF00208536",{"id":24,"text":271,"url":24,"identifiers":272},"Auriault JL (1991) Dynamic behavior in porous media, Transport Processes in Porous Media, J Bear and MY Corsapcioglu (eds), Kluwer, Dordrecht, 471–519.",{"doi":273},"10.1007\u002F978-94-011-3628-0_9",{"id":24,"text":275,"url":24,"identifiers":276},"Hassanizadeh M and Gray WG (1980), General conservation equations for multiphase systems: 3 Constitutive theory for porous media flow, Adv. Water Resour. 3, 25–40.",{"doi":277},"10.1016\u002F0309-1708(80)90016-0",{"id":24,"text":279,"url":24,"identifiers":280},"Hassanizadeh SM and Gray WG (1990), Mechanics and thermodynamics of multiphase flow in porous media including interphase transport, Adv. Water Resour. 13, 169–186.",{"doi":281},"10.1016\u002F0309-1708(90)90040-B",{"id":24,"text":283,"url":24,"identifiers":284},"Zienkiewicz OC, Chan A, Pastor M, Schrefler BA, and Shiomi T (1999), Computational Soil Dynamics with Special Reference to Earthquake Engineering, J Wiley, Chichester.",{},{"id":24,"text":286,"url":24,"identifiers":287},"de Groot SR and Mazur P (1984), Non-Equilibrium Thermodynamics, Dover, New York.",{},{"id":24,"text":289,"url":24,"identifiers":290},"Eu BC (1992), Kinetic Theory and Irreversible Thermodynamics, J Wiley, New York.",{},{"id":24,"text":292,"url":24,"identifiers":293},"Kuiken GDC (1994), Thermodynamics of Irreversible Processes, J Wiley, Chichester, (UK).",{},{"id":24,"text":295,"url":24,"identifiers":296},"Burshtein AI (1996), Introduction to Thermodynamics and Kinetic Theory of Matter, J Wiley, New York.",{},{"id":24,"text":298,"url":24,"identifiers":299},"Bear J (1988), Dynamics of Fluids in Porous Media, Dover, New York.",{},{"id":24,"text":301,"url":24,"identifiers":302},"Bachmat Y and Bear J (1986), Macroscopic modelling of transport phenomena in porous media. 1: The continuum approach, Transp. Porous Media 1, 213–240.",{"doi":303},"10.1007\u002FBF00238181",{"id":24,"text":305,"url":24,"identifiers":306},"Bear J and Bachmat Y (1986), Macroscopic modeling of transport phenomena in porous media. 2: Applications to mass, momentum and energy transport, Transp. Porous Media 1, 241–269.",{"doi":307},"10.1007\u002FBF00238182",{"id":24,"text":309,"url":24,"identifiers":310},"Kaviany M (1991), Principles of Heat Transfer in Porous Media, Springer Verlag, New York.",{"doi":311},"10.1007\u002F978-1-4684-0412-8",{"id":24,"text":313,"url":24,"identifiers":314},"Nozad I , Carbonell RG, and Whitaker S (1985), Heat conduction in multiphase systems-I: Theory and experiment for two-phase systems, Chem. Eng. Sci. 40(5), 843–855.",{"doi":315},"10.1016\u002F0009-2509(85)85037-5",{"id":24,"text":317,"url":24,"identifiers":318},"Auriault JL (1983), Effective macroscopic description for heat conduction in periodic composites, Int. J. Heat Mass Transf. 26(6), 861–869.",{"doi":319},"10.1016\u002FS0017-9310(83)80110-0",{"id":24,"text":321,"url":24,"identifiers":322},"Auriault JL and Rover P (1993), Double conductivity media: a comparison between phenomenological and homogenization approaches, Int. J. Heat Mass Transf. 36(10), 2613–2621.",{"doi":323},"10.1016\u002FS0017-9310(05)80198-X",{"id":24,"text":325,"url":24,"identifiers":326},"Stauffer D and Aharony A (1992), Introduction to the Percolation Theory, 2nd edition, Taylor & Francis, London.",{},{"id":24,"text":328,"url":24,"identifiers":329},"Coleman BD and Noll W (1963), The thermodynamics of elastic materials with heat conduction and viscosity, Arch. Ration. Mech. Anal. 13, 168–178.",{},{"id":24,"text":331,"url":24,"identifiers":332},"Gray WG and Hassanizadeh SM (1991), Paradoxes and realities in unsaturated flow theory, Water Resour. Res. 27, 1847–1854.",{},{"id":24,"text":334,"url":24,"identifiers":335},"Gray WG and Hassanizadeh SM (1991), Unsaturated flow theory including interfacial phenomena, Water Resour. Res. 27, 1855–1863.",{},{"id":24,"text":337,"url":24,"identifiers":338},"Baggio P , Bonacina C, and Schrefler BA (1997), Some considerations on modelling heat and mass transfer in porous media, Transp. Porous Media 28, 233–281.",{"doi":339},"10.1023\u002FA:1006525729566",{"id":24,"text":341,"url":24,"identifiers":342},"de Boer R, Ehlers W, Kowalski S, and Plischka J (1991), Porous media, a survey of different approaches, Forschungsbericht aus dem Fachbereich Bauwesen54, Universita¨t-Gesamthochschule Essen.",{},{"id":24,"text":344,"url":24,"identifiers":345},"Achanta S , Cushman JH, and Okos MR (1994), On multicomponent, multiphase thermomechanics with interfaces, Int. J. Eng. Sci. 32, 1717–1738.",{},{"id":24,"text":347,"url":24,"identifiers":348},"Lewis RW and Schrefler BA (1998), The Finite Element Method in the Static and Dynamic Deformation and Consolidation in Porous Media, J Wiley, Chichester.",{},{"id":24,"text":350,"url":24,"identifiers":351},"Bennethum LS and Cushman JH (1996), Multiscale, hybrid mixture theory for swelling systems-I: Balance laws, Int. J. Eng. Sci. 34(2), 125–145.",{"doi":352},"10.1016\u002F0020-7225(95)00089-5",{"id":24,"text":354,"url":24,"identifiers":355},"Bennethum LS and Cushman JH (1996), Multiscale, hybrid mixture theory for swelling systems-II: Constitutive theory, Int. J. Eng. Sci. 34(2), 147–169.",{"doi":356},"10.1016\u002F0020-7225(95)00090-9",{"id":24,"text":358,"url":24,"identifiers":359},"Bennethum LS and Cushman JH (1999), Coupled solvent and heat transport of a mixture of swelling porous particles and fluids: single time-scale problem, Transp. Porous Media 36, 211–244.",{"doi":360},"10.1023\u002FA:1006534302277",{"id":24,"text":362,"url":24,"identifiers":363},"Wilmanski K (1995), Lagrangean model of two phase porous material, J. Non-Equil. Thermodyn. 20, 50–77.",{},{"id":24,"text":365,"url":24,"identifiers":366},"Gray WG and Schrefler BA (2001), Thermodynamic approach to effective stress in partially saturated porous media, Eur. J. Mech. A\u002FSolids 20, 521–538.",{"doi":367},"10.1016\u002FS0997-7538(01)01158-5",{"id":24,"text":369,"url":24,"identifiers":370},"Gray WG (1999), Element of a systematic procedure for the derivation of macroscale conservation equations for multiphase flow in porous media, Kinetic and Continuum Theories of Granular and Porous Media, K Hutter and K Wilmanski (eds), CISM Courses and Lectures, No 400, Springer Verlag Wien, 67–129.",{"doi":371},"10.1007\u002F978-3-7091-2494-9_2",{"id":24,"text":373,"url":24,"identifiers":374},"Gray WG (1999), Thermodynamics and consitutive theory for multiphase porous-media flow considering internal geometric constraints, Adv. Water Resour. 22(5), 521–547.",{"doi":375},"10.1016\u002FS0309-1708(98)00021-9",{"id":24,"text":377,"url":24,"identifiers":378},"Galka A , Telega JJ, and Wojnar R (1999), Macroscopic equations for nonstationary flow of stokesian fluid through porous elastic medium, Arch. Mech. 51, 243–274.",{},{"id":24,"text":380,"url":24,"identifiers":381},"Bennethum LS , Murad MA, and Cushman JH (2000), Macroscale thermodynamics and the chemical potential for swelling porous media, Transp. Porous Media 39(2), 187–225.",{"doi":382},"10.1023\u002FA:1006661330427",{"id":24,"text":384,"url":24,"identifiers":385},"Bennethum SL (2001), private communication.",{},{"id":24,"text":387,"url":24,"identifiers":388},"Hassanizzadeh SM (1986), Derivation of basic equations of mass transport in porous media, Part 2: Generalized Darcy’s and Fick’s law, Adv. Water Resour. 9, 207–222.",{"doi":389},"10.1016\u002F0309-1708(86)90025-4",{"id":24,"text":391,"url":24,"identifiers":392},"Bishop AW (1959), The principle of effective stress, Tek. Ukeblad 39, 859–863.",{},{"id":24,"text":394,"url":24,"identifiers":395},"Hutter K , Laloui L, and Vulliet L (1999), Thermodynamically based mixture models of saturated and unsaturated soils, Mech. Cohesive-Frict. Mater. 4, 295–338.",{},{"id":24,"text":397,"url":24,"identifiers":398},"Schrefler BA and Gawin D (1996), The effective stress principle: Incremental or finite form?, I J Num Anal Methods Geom 20, 785–814.",{"doi":399},"10.1002\u002F(SICI)1096-9853(199611)20:11\u003C785::AID-NAG848>3.0.CO;2-6",{"id":24,"text":401,"url":24,"identifiers":402},"Bolzon G and Schrefler BA (1995), State surfaces of partially saturated soils: an effective pressure approach, Appl. Mech. Rev. 48(10), 643–649.",{"doi":403},"10.1115\u002F1.3005044",{"id":24,"text":405,"url":24,"identifiers":406},"Ehlers W (1995), A single surface yield function for geomaterials, Arch. Appl. Mech. 65, 246–259.",{},{"id":24,"text":408,"url":24,"identifiers":409},"Fredlund DG , Morgenstern NR, and Widger RA (1978), The shear strength of unsaturated soil, Can. Geotech. J. 15, 313–321.",{},{"id":24,"text":411,"url":24,"identifiers":412},"Gens A (1996), Constitutive modelling, application to compacted soil, Proc 1st Int Conf on Unsaturated Soils, 3, EE Alonso and P Delage (eds), Balkema, 1179–1200.",{},{"id":24,"text":414,"url":24,"identifiers":415},"Alonso EE , Gens A, and Josa A (1990), A constitutive model for partially saturated soils, Geotechnique 40(3), 403–430.",{"doi":416},"10.1680\u002Fgeot.1990.40.3.405",{"id":24,"text":418,"url":24,"identifiers":419},"Roscoe KH and Burland JB (1968), On the generalized stress-strain behavior of ‘wet’ clay, Engineering Plasticity, J Heyman and FA Leckie (eds) Cambridge Univ Press, Cambridge, 535–609.",{},{"id":24,"text":421,"url":24,"identifiers":422},"Kogho Y , Nakano M, and Myazaki T (1993), Theoretical aspects of constitutive modelling for unsaturated soils, Soils Found. 33(4), 49–63.",{},{"id":24,"text":424,"url":24,"identifiers":425},"Modaressi A and Abou-Bekr N (1994), A unified approach to model the behavior of saturated and unsaturated soils, Proc of 8th Int Conf Computer Methods and Advances in Geomechanics, Balkema, 1507–1513.",{},{"id":24,"text":427,"url":24,"identifiers":428},"Hujeux JC (1985), Une loi de comportment pour le chargement cyclique des sols, Ge´nie parasismique V Davidouvici (ed) Presses de l’ENPC, 287–303.",{},{"id":24,"text":430,"url":24,"identifiers":431},"di Prisco C and JommiC (1994), Un semplice approccio teorico per la modellazione del comportamento meccanico dei terreni granulari parzialmente saturi. Convegno sul tema: Il ruolo dei fluidi nei problemi di Ingegneria Geotecnica, Mondovı` 6-7\u002F9 1994 1, Parte II, pp. 167–188.",{},{"id":24,"text":433,"url":24,"identifiers":434},"di Prisco C, Nova R, and Lanier J (1993), A mixed isotropic-kinematic hardening constitutive law for sand, Modern Approaches to Plasticity, D Kolymbas (ed), Elsevier App Sci, 83–124.",{"doi":435},"10.1016\u002FB978-0-444-89970-5.50010-8",{"id":24,"text":437,"url":24,"identifiers":438},"Cui YP and Delage P (1996), Yielding and plastic behavior of an unsaturated compacted silt, Geotechnique 46(2), 291–311.",{"doi":439},"10.1680\u002Fgeot.1996.46.2.291",{"id":24,"text":441,"url":24,"identifiers":442},"Yasufuku N , Murata H, and Hyodo M (1991), Yield characteristics of anisotropically consolidated sand under low and high stresses, Soils Found. 31(1), 95–109.",{},{"id":24,"text":444,"url":24,"identifiers":445},"Pakzad M (1995), Modelisation du comportement hydro-mecanique des argiles gonflantes a faible porosite´, PhD thesis, Universite´ d’Orleans.",{},{"id":24,"text":447,"url":24,"identifiers":448},"Wheeler S and Sivakumar V (1995), An elasto-plastic critical state framework for unsaturated soil, Geotechnique 45(1), 35–53.",{"doi":449},"10.1680\u002Fgeot.1995.45.1.35",{"id":24,"text":451,"url":24,"identifiers":452},"Bolzon G , Schrefler BA, and Zienkiewicz OC (1996), Elastoplastic soil constitutive laws generalized to semisaturated states, Geotechnique 46(2), 279–289.",{"doi":453},"10.1680\u002Fgeot.1996.46.2.279",{"id":24,"text":455,"url":24,"identifiers":456},"Pastor M , Zienkiewicz OC, and Chan AHC (1990), Generalized plasticity and the modelling of soil behavior, Int. J. Numer. Analyt. Meth. Geomech. 14, 151–190.",{"doi":457},"10.1002\u002Fnag.1610140302",{"id":24,"text":459,"url":24,"identifiers":460},"Geiser F (1999), Comportement me´canique d’un limon non sature´, PhD thesis, 1942, Civil Eng, Dept, EPFL, Lausanne.",{},{"id":24,"text":462,"url":24,"identifiers":463},"Delage P, Schroeder C, and Cui YJ (1996), Subsidence and capillary effects in chalk, Proc Eurock’96, Balkema, Rotterdam, 1291–1298.",{},{"id":24,"text":465,"url":24,"identifiers":466},"Nova R (1982), A constitutive model for soil under monotonic and cyclic loading, from Soil Mechanics-Transient and Cyclic loads, GN Pande and OC Zienkiewicz (eds), Wiley, Chichester, 343–375.",{},{"id":24,"text":468,"url":24,"identifiers":469},"Laloui L, Geiser F, Vulliet L, Li XL, Bolle A, and Charlier R (1997), Characterization of the mechanical behavior of an unsaturated sandy silt, Proc of XVI Int Conf on Soil Mech and Found Eng, Hamburg, 347–350.",{},{"id":24,"text":471,"url":24,"identifiers":472},"Fredlund DG and Morgenstern NR (1977), Stress state variables for unsaturated soils, J. Geotech. Eng. 103, NoGT5, 447–466.",{"doi":473},"10.1061\u002FAJGEB6.0000423",{"id":24,"text":475,"url":24,"identifiers":476},"Gawin D , Baggio P, and Schrefler BA (1995), Coupled heat, water and gas flow in deformable porous media, Int. J. Numer. Methods Fluids 20, 969–987.",{"doi":477},"10.1002\u002Ffld.1650200817",{"id":24,"text":479,"url":24,"identifiers":480},"Hassanizadeh SM and Gray WG (1997), Recent advance in theories of two-phase flow in porous media, Fluid Transport in Porous Media, J Prieur du Plessis (ed), Comput Mech Publ, Southampton-Boston, 105–160.",{},{"id":24,"text":482,"url":24,"identifiers":483},"Sandhu RS and Wilson EL (1969), Finite element analysis of flow in saturated porous media, J. Eng. Mech. Div. 95(EM3), 641–5224.",{"doi":484},"10.1061\u002FJMCEA3.0001124",{"id":24,"text":486,"url":24,"identifiers":487},"Schiffman RL , Chen ATF, and Jordan JC (1969), An analysis of consolidation theories, J. Soil Mech. Found. Div. 95(SM1), 285–312.",{"doi":488},"10.1061\u002FJSFEAQ.0001222",{"id":24,"text":490,"url":24,"identifiers":491},"Christian JT and Boehmer JW (1970), Plane strain consolidation by finite elements, J. Soil Mech. Found. Div. 96(SM4), 1435–1457.",{"doi":492},"10.1061\u002FJSFEAQ.0001447",{"id":24,"text":494,"url":24,"identifiers":495},"Hwang CT , Morgenstern NR, and Murray DW (1971), On solution of plane strain consolidation problems by finite element methods, Can. Geotech. J. 8, 109–118.",{},{"id":24,"text":497,"url":24,"identifiers":498},"Yokoo Y , Yamagata K, and Nagaoka H (1971), Finite element method applied to Biot’s consolidation theory, soils and foundation, Japanese Soc. Soil Mech. Found. Eng. 11(10), 29–46.",{"doi":499},"10.3208\u002Fsandf1960.11.29",{"id":24,"text":501,"url":24,"identifiers":502},"Ghaboussi J and Wilson EL (1973), Flow of compressible fluid in porous elastic media, Int. J. Numer. Methods Eng. 5, 419–442.",{"doi":503},"10.1002\u002Fnme.1620050311",{"id":24,"text":505,"url":24,"identifiers":506},"Lewis RW , Roberts GK, and Zienkiewicz OC (1976, A non-linear flow and deformation analysis of consolidation problems, Numerical Methods in Geomechanics, CS Desai (ed), ASCE 2, 1106–1118.",{},{"id":24,"text":508,"url":24,"identifiers":509},"Schrefler BA , Lewis RW, and Norris VA (1977), A case study of surface subsidence of the Polesine area, Int. J. Numer. Analyt. Meth. Geomech. 1, 377–86.",{"doi":510},"10.1002\u002Fnag.1610010404",{"id":24,"text":512,"url":24,"identifiers":513},"Small JC , Booker JR, and Davis EH (1976), Elastoplastic consolidation of soil, Int. J. Solids Struct. 12, 431–448.",{"doi":514},"10.1016\u002F0020-7683(76)90020-2",{"id":24,"text":516,"url":24,"identifiers":517},"Runesson K (1978), On nonlinear consolidation of soft clay, Thesis, Dept of Struct Mech, Chalmers Univ of Tech, Goeteborg.",{},{"id":24,"text":519,"url":24,"identifiers":520},"Desai CS and Siriwardane THJ (1979), Subsidence due to consolidation including nonlinear behavior, Evaluation and Prediction of Subsidence, SK Saxena (ed), ASCE, New York, 500–515.",{},{"id":24,"text":522,"url":24,"identifiers":523},"Zienkiewicz OC, Humpheson C, and Lewis RW (1977), A unified approach to soil mechanics problems including plasticity and visco-plasticity, Ch 4, Finite Elements in Geomechanics, G Gudehus (ed), Wiley, London 151–177.",{},{"id":24,"text":525,"url":24,"identifiers":526},"Prevost JH (1981), Consolidation of anelastic porous media, J. Eng. Mech. Div. 107(EM1), 169–186.",{"doi":527},"10.1061\u002FJMCEA3.0002691",{"id":24,"text":529,"url":24,"identifiers":530},"Carter JP , Booker JR, and Small JC (1979), The analysis of finite elastoplastic consolidation, Int. J. Numer. Analyt. Meth. Geomech. 2, 107–129.",{"doi":531},"10.1002\u002Fnag.1610030202",{"id":24,"text":533,"url":24,"identifiers":534},"Norris VA (1980), The elasto-plastic analysis of soil consolidation with special reference to kinematic hardening, PhD thesis, Univ College of Swansea.",{},{"id":24,"text":536,"url":24,"identifiers":537},"Cividini A and Gioda G (1982), Compatible and equilibrium FE for soil consolidation: A preliminary comparison, Numerical Methods in Geomechanics Z Eisenstein (ed), AA Balkema, 297–306.",{},{"id":24,"text":539,"url":24,"identifiers":540},"Zienkiewicz OC (1982), Basic formulation of static and dynamic behavior of soil and other porous materials, Numerical Methods in Geomechanics, JB Martins (ed), D Reidl Pub Co, 39–57.",{"doi":541},"10.1007\u002F978-94-009-7895-9_2",{"id":24,"text":543,"url":24,"identifiers":544},"Zienkiewicz OC and Shiomi T (1984), Dynamic behavior of saturated porous media: The generalized Biot formulation and its numerical solution, Int. J. Numer. Analyt. Meth. Geomech. 8, 71–96.",{"doi":545},"10.1002\u002Fnag.1610080106",{"id":24,"text":547,"url":24,"identifiers":548},"Prevost JH , Abdel-Ghaffar AM, and Lacy SJ (1985), Nonlinear dynamic analysis of an earth dam, J. Geotech. Eng. 111(7), 882–897.",{"doi":549},"10.1061\u002F(ASCE)0733-9410(1985)111:7(882)",{"id":24,"text":551,"url":24,"identifiers":552},"Ehlers W and Kubik J (1994), On finite dynamic equations for fluid-saturated soils, Acta Mech. 105, 101–117.",{},{"id":24,"text":554,"url":24,"identifiers":555},"Safai NM and Pinder GF (1979), Vertical and horizontal land deformation in a desaturating porous medium, Adv. Water Resour. 2, 19–25.",{"doi":556},"10.1016\u002F0309-1708(79)90003-4",{"id":24,"text":558,"url":24,"identifiers":559},"Schrefler BA and Simoni L (1988), A unified approach to the analysis of saturated-unsaturated elastoplastic porous media, Numerical Methods in Geomechanics, G Swoboda (ed), A Balkema, 205–212.",{},{"id":24,"text":561,"url":24,"identifiers":562},"Zienkiewicz OC , Chan AHC, Pastor M, Paul DK, and Shiomi T (1990), Static and dynamic behavior of soils: a rational approach to quantitative solutions. I. Fully saturated problems, Proc. R. Soc. London, Ser. A 429, 285–309.",{},{"id":24,"text":564,"url":24,"identifiers":565},"Zienkiewicz OC , Xie YM, Schrefler BA, Ledesma A, and Bicanic N (1990), Static and Dynamic behavior of soils: A rational approach to quantitative solutions. II. Semi-saturated problems, Proc. R. Soc. London, Ser. A 429, 311–321.",{},{"id":24,"text":567,"url":24,"identifiers":568},"Meroi E , Schrefler BA, and Zienkiewicz OC (1995), Large strain static and dynamic semi-saturated soil behavior, Int. J. Numer. Analyt. Meth. Geomech. 19(2), 81–106.",{"doi":569},"10.1002\u002Fnag.1610190203",{"id":24,"text":571,"url":24,"identifiers":572},"Morgan K , Lewis RW, and White IR (1980), The mechanism of ground surface subsidence above competing multiphase reservoirs and their analysis by the finite element method, Appl. Math. Model. 4, 215–224.",{},{"id":24,"text":574,"url":24,"identifiers":575},"Li X , Zienkiewicz OC, and Xie YM (1990), A numerical model for immiscible two-phase fluid flow in a porous medium and its time domain solution, Int. J. Numer. Methods Eng. 30, 1195–1212.",{"doi":576},"10.1002\u002Fnme.1620300608",{"id":24,"text":578,"url":24,"identifiers":579},"Schrefler BA and Zhan XY (1993), A fully coupled model for water flow and airflow in deformable porous media, Water Resour. Res. 29, 155–167.",{},{"id":24,"text":581,"url":24,"identifiers":582},"Simoni L , Salomoni V, and Schrefler BA (1999), Elastoplastic subsidence models with and without capillary effects, Comput. Methods Appl. Mech. Eng. 171, 491–502.",{},{"id":24,"text":584,"url":24,"identifiers":585},"Bear J and Corapcioglu MY (1981), Mathematical model for regional land subsidence due to pumping. 2. Integrated aquifer subsidence equations for vertical and horizontal displacements, Water Resour. Res. 17, 947–958.",{},{"id":24,"text":587,"url":24,"identifiers":588},"Aboustit BL , Advani SH, and Lee JK (1985), Variational principles and finite element simulations for thermo-elastic consolidation, Int. J. Numer. Analyt. Meth. Geomech. 9, 49–69.",{"doi":589},"10.1002\u002Fnag.1610090105",{"id":24,"text":591,"url":24,"identifiers":592},"Lewis RW , Majorana CE, and Schrefler BA (1986), A coupled finite element model for the consolidation of non-isothermal elastoplastic porous media, Transp. Porous Media 1, 155–178.",{"doi":593},"10.1007\u002FBF00714690",{"id":24,"text":595,"url":24,"identifiers":596},"Geraminegad M and Saxena SK (1986), A coupled thermoelastic model for saturated-unsaturated porous media, Geotechnique 36(4), 539–550.",{"doi":597},"10.1680\u002Fgeot.1986.36.4.539",{"id":24,"text":599,"url":24,"identifiers":600},"Philip JR and de Vries DA (1957), Moisture movement in porous materials under temperature gradients, Trans., Am. Geophys. Union 38, 222–232.",{},{"id":24,"text":602,"url":24,"identifiers":603},"Olivella S , Carrera J, Gens A, and Alonso EE (1994), Non-isothermal multiphase flow of brine and gas through saline media, Transp. Porous Media 15, 271–293.",{"doi":604},"10.1007\u002FBF00613282",{"id":24,"text":606,"url":24,"identifiers":607},"Thomas HR and He Y (1995), Analysis of coupled heat, moisture, and air flow in a deformable unsaturated soil, Geotechnique 45(4), 677–689.",{"doi":608},"10.1680\u002Fgeot.1995.45.4.677",{"id":24,"text":610,"url":24,"identifiers":611},"Maier G and Comi C (1997), Variational finite element modelling in poroplasticity, Proc of Recent Developments in Computational and Applied Mechanics, BD Reddy (ed), CIMNE, Barcelona, 180–198.",{},{"id":24,"text":613,"url":24,"identifiers":614},"Cocchetti G and Maier G (1998), Static shake-down theorems in piecewise linearized poroplasticity, Arch. Appl. Mech. 68, 651–661.",{},{"id":24,"text":616,"url":24,"identifiers":617},"Cocchetti G and Maier G (2000), Shake-down analysis in poroplasticity by linear programming, Int. J. Numer. Methods Eng. 47, 141–168.",{"doi":618},"10.1002\u002F(SICI)1097-0207(20000110\u002F30)47:1\u002F3\u003C141::AID-NME765>3.0.CO;2-2",{"id":24,"text":620,"url":24,"identifiers":621},"Cocchetti G and Maier G (2000), Upper bounds on shake-down quantities in poroplasticity, Inelastic Analysis of Structures under Variable Repeated Loads, D Weichert and G Maier (ed), Kluwer Acad. Publ., 289–314.",{},{"id":24,"text":623,"url":24,"identifiers":624},"Maier G , Carvelli V, and Cocchetti G (2000), On direct methods for shake-down and limit analysis, Eur. J. Mech. A\u002FSolids 19, S79–S100S79–S100.",{},{"id":24,"text":626,"url":24,"identifiers":627},"Rice JR (1985), On the stability of dilatant hardening for saturated rock masses, J. Geophys. Res. 80, 1531–1536.",{},{"id":24,"text":629,"url":24,"identifiers":630},"Rudnicki JW (1984), Effect of dilatant hardening on the development of concentrated shear-deformation in fissured rock masses, J. Geophys. Res. 89(B11), 9259–9270.",{"doi":631},"10.1029\u002FJB089iB11p09259",{"id":24,"text":633,"url":24,"identifiers":634},"Vardoulakis I (1986), Dynamic stability analysis of undrained simple shear on water-saturated granular soils, Int. J. Numer. Analyt. Meth. Geomech. 10, 177–190.",{"doi":635},"10.1002\u002Fnag.1610100206",{"id":24,"text":637,"url":24,"identifiers":638},"Loret B and Prevost JH (1991), Dynamic strain localization in fluid-saturated porous media., J. Eng. Mech. 11, 907–922.",{},{"id":24,"text":640,"url":24,"identifiers":641},"Schrefler BA , Majorana CE, and Sanavia L (1995), Shear band localization in saturated porous media, Arch. Mech. 47, 577–599.",{},{"id":24,"text":643,"url":24,"identifiers":644},"Schrefler BA , Sanavia L, and Majorana CE (1996), A multiphase medium model for localization and postlocalization simulation in geomaterial, Mech. Cohesive-Frict. Mater. 1, 95–114.",{},{"id":24,"text":646,"url":24,"identifiers":647},"Sluys LJ (1992), Wave propagation, localization and dispersion in softening solids, PhD thesis, Dept of Civil Eng, Delft Univ, Netherlands.",{},{"id":24,"text":649,"url":24,"identifiers":650},"Zhang HW , Sanavia L, and Schrefler BA (1999), An internal length scale in strain localisation of multiphase porous media, Mech. Cohesive-Frict. Mater. 4, 443–460.",{},{"id":24,"text":652,"url":24,"identifiers":653},"Schrefler BA , Zhang HW, Pastor M, and Zienkiewicz OC (1998), Strain localization modelling and pore pressure in saturated sand samples, Comput. Mech. 22, 266–280.",{},{"id":24,"text":655,"url":24,"identifiers":656},"Zienkiewicz OC and Taylor R (1991), The Finite Element Method, Vols 1 and 2, McGraw Hill, New York.",{},{"id":24,"text":658,"url":24,"identifiers":659},"Park KC (1980), Partitioned transient analysis procedures for coupled-field problems: stability analysis, ASME J. Appl. Mech. 47, 370–376.",{"doi":660},"10.1115\u002F1.3153671",{"id":24,"text":662,"url":24,"identifiers":663},"Park KC and Felippa CA (1983), Partitioned analysis of coupled systems, Computational Methods for Transient Analysis, T Belytschko and TJR Hughes (eds), Elsevier, Amsterdam.",{},{"id":24,"text":665,"url":24,"identifiers":666},"Zienkiewicz OC , Paul DK, and Chan AHC (1980), Unconditionally stable staggered solution procedure for soil-pore fluid interaction problems, Int. J. Numer. Methods Eng. 26, 1039–1055.",{"doi":667},"10.1002\u002Fnme.1620260504",{"id":24,"text":669,"url":24,"identifiers":670},"Thomas HR and Li CLW (1995), Modelling transient heat and moisture transfer in unsaturated soil using a parallel computing approach, Int. J. Numer. Analyt. Meth. Geomech. 19, 345–66.",{"doi":671},"10.1002\u002Fnag.1610190504",{"id":24,"text":673,"url":24,"identifiers":674},"Wang XC , Gawin D, and Schrefler BA (1996), A parallel algorithm for thermo-hydro-mechanical analysis of deforming porous media, Comput. Mech. 19, 94–104.",{},{"id":24,"text":676,"url":24,"identifiers":677},"Wang XC , Baggio P, and Schrefler BA (1999), A multi-level frontal algorithm for finite element analysis and its implementation on parallel computation, Eng. Comput. 16(4), 406–427.",{},{"id":24,"text":679,"url":24,"identifiers":680},"Wang XC and Schrefler BA (1998), A multifrontal parallel algorithm for coupled thermo-hydro-mechanical analysis of deforming porous media, Int. J. Numer. Methods Eng. 43, 1069–1083.",{"doi":681},"10.1002\u002F(SICI)1097-0207(19981130)43:6\u003C1069::AID-NME462>3.0.CO;2-X",{"id":24,"text":683,"url":24,"identifiers":684},"Thomas HR , Yang HT, He Y, and Jefferson AD (1998), Solving coupled thermo-hydro-mechanical problems in unsaturated soil using a substructuring frontal technique, Commun. Numer. Meth. Eng. 14, 783–92.",{},{"id":24,"text":686,"url":24,"identifiers":687},"Thomas HR , Yang HT, and He Y (1999), A substructure based parallel solution of coupled thermo-hydro-mechanical modelling of unsaturated soil, Eng. Comput. 16(4), 428–442.",{},{"id":24,"text":689,"url":24,"identifiers":690},"Gawin D and Schrefler BA (1996), Thermo-hydro-mechanical analysis of partially saturated porous materials, Eng. Comput. 13, 113–143.",{},{"id":24,"text":692,"url":24,"identifiers":693},"Schrefler BA and Scotta R (2001), A fully coupled dynamic model for two phase fluid flow in deformable porous media, Comput. Methods Appl. Mech. Eng. 190, 3223–3246.",{},{"id":24,"text":695,"url":24,"identifiers":696},"Klubertanz G (1999), Zur hydromechanischen Kopplung in dreiphasigen poroesen Medien, PhD thesis, De´pt de Ge´nie Civil, EPF Lausanne.",{},{"id":24,"text":698,"url":24,"identifiers":699},"Dakshanamurthy V , and Fredlund EG (1981), A mathematical model for predicting moisture flow in an unsaturated soil under hydraulic and temperature gradients, Water Resour. Res. 17, 714–722.",{},{"id":24,"text":701,"url":24,"identifiers":702},"Schrefler BA , Zhang HW, and Simoni L (1995), A coupled model for water flow, airflow, and heat flow in deforming porous media, Int. J. Numer. Methods Heat Fluid Flow 5, 531–547.",{"doi":703},"10.1108\u002FEUM0000000004077",{"id":24,"text":705,"url":24,"identifiers":706},"Lambe TW and Whitman RV (1969), Soil Mechanics, John Wiley & Sons.",{},{"id":24,"text":708,"url":24,"identifiers":709},"Brooks RN and CoreyAT (1966), Properties of porous media affecting fluid flow, J. Irrig. Drain. Div. Am. Soc. Civ. Eng., 92(IR2), 61–68.",{"doi":710},"10.1061\u002FJRCEA4.0000425",{"id":24,"text":712,"url":24,"identifiers":713},"Krischer O and Kroell K (1978), Trocknungstechnik, Band. 1, 3rd ed. Die wissenschaftlichen Grundlagen der Trocknungstechnik, Springer Verlag, Berlin-Goettingen-Heidelberg.",{},{"id":24,"text":715,"url":24,"identifiers":716},"Gawin D and Klemm P (1994), A model of coupled heat and moisture transfer with phase changes in porous building material, Arch. Civ. Eng. 40, 89–104.",{},{"id":24,"text":718,"url":24,"identifiers":719},"Giannuzzi M, Majorana CE, Pesavento F, and Schrefler BA (1999), Enhanced hydrothermo-mechanical analysis of HPC and UHPC concrete structures, Proc of XII Convegno Italiano di Meccanica Computazionale, AIMETA, GIMC 99, Napoli.",{},{"id":24,"text":721,"url":24,"identifiers":722},"Brite Euram III (1996), BE-1158\u002FBRPR-CT95-006, Hiteco Progress Report.",{},{"id":24,"text":724,"url":24,"identifiers":725},"Gawin D , Majorana CE, and Schrefler BA (1999), Numerical analysis of hygro-thermal behavior and damage of concrete at high temperature, Mech. Cohesive-Frict. Mater. 4, 37–76.",{},{"id":24,"text":727,"url":24,"identifiers":728},"Mazars J and Pijaudier-Cabot G (1989), Continuum damage theory-application to concrete, J. Eng. Mech. 115(2), 345–365.",{"doi":729},"10.1061\u002F(ASCE)0733-9399(1989)115:2(345)",{"id":24,"text":731,"url":24,"identifiers":732},"Briseghella L, Sanavia L, and Schrefler BA (1999), Seismic analysis of earth dams using a multiphase model. Proceedings of the IX Italian National Congress “L’Ingegneria Sismica in Italia,” Turin (Italy).",{},{"id":24,"text":734,"url":24,"identifiers":735},"Desrues J and Mokni M, Drained and Undrained Biaxial Test Data on Hostun RF Sand, Data base Alert96, ALERT Web server.",{},{"id":24,"text":737,"url":24,"identifiers":738},"Mokni M (1992), Relations entre de´formations en masse et de´formations localise´es dans les mate´riaux granulaires, PhD Thesis, Inst de Me`canique de Grenoble, France.",{},{"id":24,"text":740,"url":24,"identifiers":741},"Mcmanus KJ and Davis RO (1997), Dilatation induced pore fluid cavitation in sands, Geotechnique 47(1), 173–177.",{"doi":742},"10.1680\u002Fgeot.1997.47.1.173",{"id":24,"text":744,"url":24,"identifiers":745},"Moricca G, Ripa G, Sanfilippo E, and Santarelli FJ (1994), Basin scale rock mechanics: Field observations of sand production, Proc of Eurock ’94, Balkema, Rotterdam, 317–328.",{"doi":746},"10.2118\u002F28066-MS",{"id":24,"text":748,"url":24,"identifiers":749},"Gambolati G , Ricceri G, Bertoni W, Brighenti G, and Vuillermin E (1991), Mathematical simulation of the subsidence of Ravenna, Water Res. 27, 2899–2918.",{},{"id":24,"text":751,"url":24,"identifiers":752},"AGIP (1996), Progetto Alto Adriatico—Studio di impatto ambientale, (Project Upper Adriatic Sea—Environmental Impact Study, in Italian) AGIP, San Donato, Italy.",{},{"id":24,"text":754,"url":24,"identifiers":755},"Simoni L and Schrefler BA (2001), Parameter identification for a suction dependent plasticity model, Int. J. Numer. Analyt. Meth. Geomech. 25, 273–288.",{"doi":756},"10.1002\u002Fnag.129",{"id":24,"text":758,"url":24,"identifiers":759},"Bolzon G and Schrefler BA (1997), Compaction in gas reservoirs due to capillary effects, invited lecture, Proc of COMPLAS V, Barcelona, Computational Plasticity, DRJ OE Onate and E Hinton (eds), CIMNE, 1625–1630.",{},false,{"id":762,"createTime":763,"updateTime":764,"relativeEntities":765,"slug":766,"properties":767,"entityType":107,"verifyStatus":108,"verifyTime":779,"verifyNote":109,"languages":780,"translateLanguages":24,"viewCount":25,"primaryUrl":781,"fullTextUrl":24,"authors":782,"publicationType":131,"publisherRelationship":802,"citationCount":847,"citationInfo":848,"publishDate":860,"publishYear":849,"citationAnalyzeStatus":191,"lastCitationAnalyze":861,"indexDatabases":862,"openAccess":24,"references":863,"isForceReanalyzing":760},"e98efe67-dc2f-4701-8093-396ea8427844","2025-01-02T13:59:51.933+00:00","2025-10-25T13:04:58.118+00:00",[],"Impact-on-Laminated-Composite-Materials",{"openalex":768,"mag":770,"abstract":772,"title":774,"gsPaper":776,"doi":777},{"VOID":769},"W2023328004",{"VOID":771},"2023328004",{"EN":773},"\u003Cjats:p>Laminated composite materials are used extensively in aerospace and other applications. With their high specific modulus, high specific strength, and the capability of being tailored for a specific application, these materials offer definite advantages compared to more traditional materials. However, their behavior under impact is a concern, since impacts do occur during manufacture, normal operations, or maintenance. The situation is critical for impacts which induce significant internal damage, undetectable by visual inspection, that cause large drops in the strength and stability of the structure. Impact dynamics, including the motion of both the impactor and the target and the force developed at the interface, can be predicted accurately using a number of models. The state of stress in the vicinity of the impact is very complex and requires detailed analyses. Accurate criteria for predicting initial failure are generally not available, and analyses after initial failure are questionable. For these reasons, it can be said that a general method for estimating the type and size of impact damage is not available at this time. However, a large amount of experimental data has been published, and several important features of impact damage have been identified. In particular, interply delaminations are known to occur at the interface between plies with different fiber orientation. Their shape is generally elongated in the direction of the fibers in the lower ply at that interface. The delaminated area is known to increase linearly with the kinetic energy of the impactor after a certain threshold value has been reached. The effect of impact damage on the properties of the laminate has obvious implications for design and inspection of actual structures. Experimental results concerning the residual strength of impact damaged specimens subjected to tension, compression, shear, bending, and both static and fatigue loading are available. Analyses concentrate primarily on predicting residual tensile and compressive strength. In order to fully understand the effect of foreign object impact damage, one should understand impact dynamics and be able to predict the location, type, and size of the damage induced and the residual properties of the laminate. This article is organized along these lines and presents a comprehensive review of the literature on impact of laminated composites, considering both experimental and analytical approaches.\u003C\u002Fjats:p>",{"EN":775},"Impact on Laminated Composite Materials",{"VOID":104},{"VOID":778},"10.1115\u002F1.3119500","2025-01-02T13:59:51.932+00:00",[111],"https:\u002F\u002Fasmedigitalcollection.asme.org\u002Fappliedmechanicsreviews\u002Farticle\u002F44\u002F4\u002F155\u002F400798\u002FImpact-on-Laminated-Composite-Materials",[783],{"id":784,"sortIndex":25,"researcher":24,"roles":785,"affiliations":786,"properties":795,"displayName":799,"givenName":24,"familyName":24},"d7614cbd-0de1-4ab1-8fea-1bffb5b6e20c",[],[787],{"id":788,"sortIndex":25,"affiliation":789,"properties":24},"75ca6de3-130d-4f20-97b1-50f62b07c270",{"id":788,"createTime":24,"updateTime":24,"relativeEntities":790,"slug":24,"properties":791,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":794,"statistic":24},[],{"title":792},{"EN":793},"Department of Mechanical and Aerospace Engineering and Engineering Mechanics, University of Missouri-Rolla, Rolla MO 65401",[],{"orcid":796,"title":798,"openalex":800},{"VOID":797},"https:\u002F\u002Forcid.org\u002F0000-0001-6019-9929",{"EN":799},"Serge Abrate",{"VOID":801},"A5050581401",{"url":24,"publisher":803,"properties":841},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":804,"slug":10,"properties":805,"entityType":22,"verifyStatus":23,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":25,"subjectFields":810,"manageAffiliations":815,"indexDatabases":826,"url":83,"thumbnailPath":24,"statistic":24,"gsStatistic":24,"type":24,"analyzePriority":24},[],{"country":806,"eissn":807,"issn":808,"title":809},{"VOID":13},{"VOID":15},{"VOID":17},{"EN":19},[811],{"id":28,"createTime":24,"updateTime":24,"relativeEntities":812,"label":813,"description":814,"parentId":24,"standard":24,"scholarHubFieldId":24},[],{"EN":31},{},[816,821],{"id":35,"createTime":24,"updateTime":24,"relativeEntities":817,"slug":24,"properties":818,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":820,"statistic":24},[],{"title":819},{"EN":39},[],{"id":42,"createTime":24,"updateTime":24,"relativeEntities":822,"slug":24,"properties":823,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":825,"statistic":24},[],{"title":824},{"EN":46},[],[827,834],{"id":50,"indexDatabase":828,"url":63,"indexYears":24,"academicFieldIds":833,"indexDatabaseRanking":24},{"id":52,"createTime":24,"updateTime":24,"relativeEntities":829,"label":830,"description":831,"key":59,"publicationTags":832,"standard":24},[],{"EN":55,"VI":55},{"EN":57,"VI":58},[61,62],[65],{"id":67,"indexDatabase":835,"url":78,"indexYears":79,"academicFieldIds":840,"indexDatabaseRanking":82},{"id":69,"createTime":24,"updateTime":24,"relativeEntities":836,"label":837,"description":838,"key":75,"publicationTags":839,"standard":24},[],{"EN":72,"VI":72},{"EN":72,"VI":74},[77],[81],{"issue":842,"pages":843,"volume":845},{"VOID":173},{"VOID":844},"155-190",{"VOID":846},"44",924,{"total":847,"publishYear":849,"statisticByYear":850},1991,{"2012":851,"2013":852,"2014":853,"2015":854,"2016":854,"2017":855,"2018":854,"2019":854,"2020":854,"2021":856,"2022":857,"2023":858,"2024":859},28,39,41,38,49,37,21,30,31,"1991-04-01","2025-10-25T13:04:58.117+00:00",[61,82],[],{"id":865,"createTime":866,"updateTime":866,"relativeEntities":867,"slug":868,"properties":869,"entityType":107,"verifyStatus":108,"verifyTime":866,"verifyNote":109,"languages":880,"translateLanguages":24,"viewCount":25,"primaryUrl":881,"fullTextUrl":24,"authors":882,"publicationType":131,"publisherRelationship":902,"citationCount":946,"citationInfo":947,"publishDate":953,"publishYear":948,"citationAnalyzeStatus":23,"lastCitationAnalyze":24,"indexDatabases":954,"openAccess":24,"references":955,"isForceReanalyzing":760},"092d6545-306e-49c9-a8f5-fa02715cc6e2","2024-12-22T06:43:09.619+00:00",[],"What-is-Hysteresis-",{"openalex":870,"mag":872,"abstract":874,"title":876,"doi":878},{"VOID":871},"W1990883965",{"VOID":873},"1990883965",{"EN":875},"\u003Cjats:p>Hysteresis is a widely occurring phenomenon. It can be found in a wide variety of natural and constructed systems. Generally, a system is said to exhibit hysteresis when a characteristic looping behavior of the input-output graph is displayed. These loops can be due to a variety of causes. Furthermore, the input-output graphs of periodic inputs at different frequencies are generally identical. Existing definitions of hysteresis are useful in different contexts but fail to fully characterize it. In this paper, a number of different situations exhibiting hysteresis are described and analyzed. The applications described are: an electronic comparator, gene regulatory network, backlash, beam in a magnetic field, a class of smart materials and inelastic springs. The common features of these widely varying situations are identified and summarized in a final section that includes a new definition for hysteresis.\u003C\u002Fjats:p>",{"EN":877},"What is Hysteresis?",{"VOID":879},"10.1115\u002F1.4007112",[111],"https:\u002F\u002Fasmedigitalcollection.asme.org\u002Fappliedmechanicsreviews\u002Farticle\u002Fdoi\u002F10.1115\u002F1.4007112\u002F369998\u002FWhat-is-Hysteresis",[883],{"id":884,"sortIndex":25,"researcher":24,"roles":885,"affiliations":886,"properties":895,"displayName":899,"givenName":24,"familyName":24},"62c18a01-3ee7-4cad-a243-120d469756d1",[],[887],{"id":888,"sortIndex":25,"affiliation":889,"properties":24},"f9d4022d-2d66-49e3-94a1-7ce32b4e9341",{"id":888,"createTime":24,"updateTime":24,"relativeEntities":890,"slug":24,"properties":891,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":894,"statistic":24},[],{"title":892},{"EN":893},"Department of Applied Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada e-mail:",[],{"orcid":896,"title":898,"openalex":900},{"VOID":897},"https:\u002F\u002Forcid.org\u002F0000-0003-1311-9230",{"EN":899},"Kirsten Morris",{"VOID":901},"A5049638450",{"url":24,"publisher":903,"properties":941},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":904,"slug":10,"properties":905,"entityType":22,"verifyStatus":23,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":25,"subjectFields":910,"manageAffiliations":915,"indexDatabases":926,"url":83,"thumbnailPath":24,"statistic":24,"gsStatistic":24,"type":24,"analyzePriority":24},[],{"country":906,"eissn":907,"issn":908,"title":909},{"VOID":13},{"VOID":15},{"VOID":17},{"EN":19},[911],{"id":28,"createTime":24,"updateTime":24,"relativeEntities":912,"label":913,"description":914,"parentId":24,"standard":24,"scholarHubFieldId":24},[],{"EN":31},{},[916,921],{"id":35,"createTime":24,"updateTime":24,"relativeEntities":917,"slug":24,"properties":918,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":920,"statistic":24},[],{"title":919},{"EN":39},[],{"id":42,"createTime":24,"updateTime":24,"relativeEntities":922,"slug":24,"properties":923,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":925,"statistic":24},[],{"title":924},{"EN":46},[],[927,934],{"id":50,"indexDatabase":928,"url":63,"indexYears":24,"academicFieldIds":933,"indexDatabaseRanking":24},{"id":52,"createTime":24,"updateTime":24,"relativeEntities":929,"label":930,"description":931,"key":59,"publicationTags":932,"standard":24},[],{"EN":55,"VI":55},{"EN":57,"VI":58},[61,62],[65],{"id":67,"indexDatabase":935,"url":78,"indexYears":79,"academicFieldIds":940,"indexDatabaseRanking":82},{"id":69,"createTime":24,"updateTime":24,"relativeEntities":936,"label":937,"description":938,"key":75,"publicationTags":939,"standard":24},[],{"EN":72,"VI":72},{"EN":72,"VI":74},[77],[81],{"issue":942,"volume":944},{"VOID":943},"5",{"VOID":945},"64",65,{"total":946,"publishYear":948,"statisticByYear":949},2011,{"2012":950,"2013":950,"2014":189,"2015":189,"2016":189,"2017":188,"2018":950,"2019":187,"2020":185,"2021":951,"2022":189,"2023":952,"2024":182},1,14,6,"2011-09-01",[61,82],[956,959,963,967,970,974,977,981,984,987,990,994,998,1002,1006,1009,1013,1016,1020,1024,1028,1031,1034,1038,1042,1045,1049,1053,1056,1059,1062,1066,1070,1073,1077,1080,1084,1088,1091,1094,1098,1102,1106,1110,1114,1118,1121,1124,1128,1132],{"id":24,"text":957,"url":24,"identifiers":958},"1996, Hysteresis and Phase Transitions",{},{"id":24,"text":960,"url":24,"identifiers":961},"2000, Construction of a Genetic Toggle Switch in Escherichia Coli, Nature, 403, 339, 10.1038\u002F35002131",{"doi":962},"10.1038\u002F35002131",{"id":24,"text":964,"url":24,"identifiers":965},"1991, Hysteresis in Electronic Circuits: A Circuit Theorist's Perspective, Int. J. Circuit Theory and Appl., 19, 471, 10.1002\u002Fcta.4490190505",{"doi":966},"10.1002\u002Fcta.4490190505",{"id":24,"text":968,"url":24,"identifiers":969},"2003, Mathematical Models of Hysteresis and Their Applications",{},{"id":24,"text":971,"url":24,"identifiers":972},"1979, A Magnetoelastic Strange Attractor, J. Sound Vib., 65, 275, 10.1016\u002F0022-460X(79)90520-0",{"doi":973},"10.1016\u002F0022-460X(79)90520-0",{"id":24,"text":975,"url":24,"identifiers":976},"2005, Smart Material Systems: Model Development, Frontiers in Applied Mathematics",{},{"id":24,"text":978,"url":24,"identifiers":979},"1885, Experimental Researches in Magnetism, Phil. Trans. R. Soc. London, 176, 523, 10.1098\u002Frstl.1885.0010",{"doi":980},"10.1098\u002Frstl.1885.0010",{"id":24,"text":982,"url":24,"identifiers":983},"",{},{"id":24,"text":985,"url":24,"identifiers":986},"1994, Hysteresis Operators,, Phase Transitions and Hysteresis, 1",{},{"id":24,"text":988,"url":24,"identifiers":989},"1994, Differential Models of Hysteresis",{},{"id":24,"text":991,"url":24,"identifiers":992},"2007, Integral Control of Infinite-Dimensional Systems in the Presence of Hysteresis: An Input-Output Approach, COCV, 13, 458, 10.1051\u002Fcocv:2007022",{"doi":993},"10.1051\u002Fcocv:2007022",{"id":24,"text":995,"url":24,"identifiers":996},"2008, A Class of Differential-Delay Systems With Hysteresis: Asymptotic Behaviour of Solutions, Nonlinear Anal., 69, 363, 10.1016\u002Fj.na.2007.05.025",{"doi":997},"10.1016\u002Fj.na.2007.05.025",{"id":24,"text":999,"url":24,"identifiers":1000},"2010, Tracking With Prescribed Transient Performance for Hysteretic Systems, SIAM J. Control Optim., 48, 4731, 10.1137\u002F070691863",{"doi":1001},"10.1137\u002F070691863",{"id":24,"text":1003,"url":24,"identifiers":1004},"2010, Stability and Robust Position Control of Hysteretic Systems, Int. J. Robust Nonlinear Control, 20, 460, 10.1002\u002Frnc.1457",{"doi":1005},"10.1002\u002Frnc.1457",{"id":24,"text":1007,"url":24,"identifiers":1008},"Gorbet, R. B., Wang, D. W. L., and Morris, K. A., 1998, “Preisach Model Identification of a Two-Wire SMA Actuator,” Proceedings of the IEEE International Conference on Robotics and Automation, Vol. 3, pp. 2161–2167.",{},{"id":24,"text":1010,"url":24,"identifiers":1011},"2005, Semilinear Duhem Model for Rate-Independent and Rate-Dependent Hysteresis, IEEE Trans. Autom. Control, 50, 631, 10.1109\u002FTAC.2005.847035",{"doi":1012},"10.1109\u002FTAC.2005.847035",{"id":24,"text":1014,"url":24,"identifiers":1015},"1998, Hysteresis in Magnetism",{},{"id":24,"text":1017,"url":24,"identifiers":1018},"1993, Mathematical Models of Hysteresis, SIAM Rev., 35, 94, 10.1137\u002F1035005",{"doi":1019},"10.1137\u002F1035005",{"id":24,"text":1021,"url":24,"identifiers":1022},"1938, A Thermionic Trigger, J. Sci. Instrum., 15, 24, 10.1088\u002F0950-7671\u002F15\u002F1\u002F305",{"doi":1023},"10.1088\u002F0950-7671\u002F15\u002F1\u002F305",{"id":24,"text":1025,"url":24,"identifiers":1026},"2002, A Lifetime of Connections: Otto Herbert Schmitt, 1913–1998, Phys. Perspect., 4, 456, 10.1007\u002Fs000160200005",{"doi":1027},"10.1007\u002Fs000160200005",{"id":24,"text":1029,"url":24,"identifiers":1030},"1982, Microelectronic Circuits",{},{"id":24,"text":1032,"url":24,"identifiers":1033},"2002, Nonlinear Control Systems",{},{"id":24,"text":1035,"url":24,"identifiers":1036},"2000, How to Make a Biological Switch, J. Theor. Biol., 203, 117, 10.1006\u002Fjtbi.2000.1068",{"doi":1037},"10.1006\u002Fjtbi.2000.1068",{"id":24,"text":1039,"url":24,"identifiers":1040},"2003, Monotone Control Systems, IEEE Trans. Autom. Control, 48, 1684, 10.1109\u002FTAC.2003.817920",{"doi":1041},"10.1109\u002FTAC.2003.817920",{"id":24,"text":1043,"url":24,"identifiers":1044},"2004, Multi-Stability in Monotone Input\u002FOutput Systems, Syst. Control Lett., 51, 185",{},{"id":24,"text":1046,"url":24,"identifiers":1047},"2004, Detection of Multistability, Bifurcations, and Hysteresis in a Large Class of Biological Positive-Feedback Systems, Proc. Natl. Acad. Sci. U.S.A., 101, 1822, 10.1073\u002Fpnas.0308265100",{"doi":1048},"10.1073\u002Fpnas.0308265100",{"id":24,"text":1050,"url":24,"identifiers":1051},"1999, Multistability: A Major Means of Differentiation and Evolution in Biological Systems, Trends Biochem. Sci., 24, 418, 10.1016\u002FS0968-0004(99)01473-5",{"doi":1052},"10.1016\u002FS0968-0004(99)01473-5",{"id":24,"text":1054,"url":24,"identifiers":1055},"2005, Nonlinear Responses of a Magnetoelastic Beam in a Step-Pulsed Magnetic Field, Nonlinear Dyn., 45, 171",{},{"id":24,"text":1057,"url":24,"identifiers":1058},"1983, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields",{},{"id":24,"text":1060,"url":24,"identifiers":1061},"2006, Chaos Control in the Uncertain Duffing Oscillator, J. Sound Vib., 292, 869",{},{"id":24,"text":1063,"url":24,"identifiers":1064},"1995, On Lyapunov Control of the Duffing Equation, IEEE Trans. Circuits Syst. Mag., 42, 473, 10.1109\u002F81.404059",{"doi":1065},"10.1109\u002F81.404059",{"id":24,"text":1067,"url":24,"identifiers":1068},"2003, Free Energy Model for Hysteresis in Magnetostrictive Transducers, J. Appl. Phys., 93, 458, 10.1063\u002F1.1524312",{"doi":1069},"10.1063\u002F1.1524312",{"id":24,"text":1071,"url":24,"identifiers":1072},"2010, A New Load-Dependent Hysteresis Model for Magnetostrictive Material, Smart Mater. Struct., 19, 1",{},{"id":24,"text":1074,"url":24,"identifiers":1075},"2009, A Review and Comparison of Hysteresis Models for Magnetostrictive Materials, J. Intell. Mater. Syst. Struct., 20, 131, 10.1177\u002F1045389X08093563",{"doi":1076},"10.1177\u002F1045389X08093563",{"id":24,"text":1078,"url":24,"identifiers":1079},"1998, Control of Hysteretic Systems: A State-Space Approach, Learning, Control, and Hybrid Systems, 432",{},{"id":24,"text":1081,"url":24,"identifiers":1082},"1989, A Model for an Alloy With Shape Memory, Int. J. Plasticity, 5, 371, 10.1016\u002F0749-6419(89)90023-5",{"doi":1083},"10.1016\u002F0749-6419(89)90023-5",{"id":24,"text":1085,"url":24,"identifiers":1086},"2004, Modelling and Control of Hysteresis in Magnetostrictive Actuators, Automatica, 40, 1469, 10.1016\u002Fj.automatica.2004.04.006",{"doi":1087},"10.1016\u002Fj.automatica.2004.04.006",{"id":24,"text":1089,"url":24,"identifiers":1090},"2002, Dynamics of Non-Isothermal Martensitic Phase Transitions and Hysteresis, Int. J. Solids Struct., 39, 3387",{},{"id":24,"text":1092,"url":24,"identifiers":1093},"2007, Systems With Hysteresis: Analysis, Identification and Control Using the Bouc-Wen Model",{},{"id":24,"text":1095,"url":24,"identifiers":1096},"2000, Hysteretic Models for Deteriorating Inelastic Structures, J. Eng. Mech., 126, 633, 10.1061\u002F(ASCE)0733-9399(2000)126:6(633)",{"doi":1097},"10.1061\u002F(ASCE)0733-9399(2000)126:6(633)",{"id":24,"text":1099,"url":24,"identifiers":1100},"2006, Development of Winkler Model for Static and Dynamic Response of Caisson Foundations With Soil and Interface Nonlinearities, Soil Dyn. Earthquake Eng., 26, 363, 10.1016\u002Fj.soildyn.2005.12.002",{"doi":1101},"10.1016\u002Fj.soildyn.2005.12.002",{"id":24,"text":1103,"url":24,"identifiers":1104},"1996, Nonlinear Response of Single Piles Under Lateral Inertial and Seismic Loads, Soil Dyn. Earthquake Eng., 15, 29, 10.1016\u002F0267-7261(95)00027-5",{"doi":1105},"10.1016\u002F0267-7261(95)00027-5",{"id":24,"text":1107,"url":24,"identifiers":1108},"2001, Experimental Verification of Multi-Input Seismic Control Strategies for Smart Dampers, J. Eng. Mech., 127, 1152, 10.1061\u002F(ASCE)0733-9399(2001)127:11(1152)",{"doi":1109},"10.1061\u002F(ASCE)0733-9399(2001)127:11(1152)",{"id":24,"text":1111,"url":24,"identifiers":1112},"2005, ASME Appl. Mech. Rev., 58, 389, 10.1115\u002F1.2048687",{"doi":1113},"10.1115\u002F1.2048687",{"id":24,"text":1115,"url":24,"identifiers":1116},"2007, An Analysis of the Modified Dahl and Masing Models: Application to a Belt Tensioner, J. Sound Vib., 302, 841, 10.1016\u002Fj.jsv.2006.12.013",{"doi":1117},"10.1016\u002Fj.jsv.2006.12.013",{"id":24,"text":1119,"url":24,"identifiers":1120},"2008, Friction and the Inverted Pendulum Stabilization Problem, ASME J. Dyn. Sys., Meas., Control, 130",{},{"id":24,"text":1122,"url":24,"identifiers":1123},"2011, 2011 American Control Conference, A Sudden-Release Bristle Model That Exhibits Hysteresis and Stick-Slip Friction, 2456",{},{"id":24,"text":1125,"url":24,"identifiers":1126},"2010, LuGre-Model-Based Friction Compensation, IEEE Trans. Control Syst. Technol., 18, 194, 10.1109\u002FTCST.2008.2010501",{"doi":1127},"10.1109\u002FTCST.2008.2010501",{"id":24,"text":1129,"url":24,"identifiers":1130},"2009, Control of Mechanical Systems With Stribeck Friction and Backlash, System Control Lett., 58, 141, 10.1016\u002Fj.sysconle.2008.10.001",{"doi":1131},"10.1016\u002Fj.sysconle.2008.10.001",{"id":24,"text":1133,"url":24,"identifiers":1134},"2008, Duhem Modeling of Friction-Induced Hysteresis, IEEE Control Syst. Mag., 28, 90, 10.1109\u002FMCS.2008.927331",{"doi":1135},"10.1109\u002FMCS.2008.927331",{"id":1137,"createTime":1138,"updateTime":1138,"relativeEntities":1139,"slug":1140,"properties":1141,"entityType":107,"verifyStatus":108,"verifyTime":1138,"verifyNote":109,"languages":1152,"translateLanguages":24,"viewCount":25,"primaryUrl":1153,"fullTextUrl":24,"authors":1154,"publicationType":131,"publisherRelationship":1174,"citationCount":1220,"citationInfo":1221,"publishDate":1225,"publishYear":1222,"citationAnalyzeStatus":23,"lastCitationAnalyze":24,"indexDatabases":1226,"openAccess":24,"references":1227,"isForceReanalyzing":760},"c255a20e-1ca1-47cc-a975-869c75308fb8","2024-12-12T00:56:24.156+00:00",[],"On-24-Forms-of-the-Acoustic-Wave-Equation-in-Vortical-Flows-and-Dissipative-Media",{"openalex":1142,"mag":1144,"abstract":1146,"title":1148,"doi":1150},{"VOID":1143},"W1997646587",{"VOID":1145},"1997646587",{"EN":1147},"\u003Cjats:title>Abstract\u003C\u002Fjats:title>\n               \u003Cjats:p>The 36 forms of the acoustic wave equation derived in an earlier review (Campos, L. M. B. C., 2007, “On 36 Forms of the Acoustic Wave Equation in Potential Flows and Inhomogeneous Media,” Appl. Mech. Rev., 60, pp. 149–171) were grouped in four classes, of which the last (Class IV) concerned sheared mean flows; another type of vortical flow is swirling flow, and thus the present review completes the preceding by starting with Class V of linear, nondissipative acoustic wave equations in axisymmetric swirling, and also sheared, mean flow. These include general swirl and, in particular, rigid body and potential vortex swirl, combined or not with shear, for axisymmetric or general nonaxisymmetric acoustic modes, in two types of media: (i) inhomogeneous isentropic and (ii) homogeneous homentropic. Besides the 14 acoustic wave equations in sheared and swirling mean flows, the remaining ten acoustic wave equations derived in the present review all concern waves in homogeneous and steady media at rest, with dissipation or nonlinear effects to second-order or a combination of these two opposing effects, viz., (i) Class VI of linear, nondissipative wave equations with weak or strong thermoviscous dissipation in a homogeneous medium at rest; (ii) Class VIIA nonlinear one-dimensional wave equations in steady, homogeneous medium at rest without dissipation, or with viscous or thermoviscous dissipation, also in the case of a duct of varying cross section; (iii) Class VIIB of weakly nonlinear, three-dimensional waves or beams with thermoviscous dissipation in a homogeneous steady medium at rest. The 24 forms of the acoustic wave equation derived in the present review add to the 36 forms in the preceding review to form the set of 60 acoustic wave equations, whose interconnections are indicated in a family tree at the end. Numerous examples of the applications of the wave equations to the physical world are given at the end of each written section.\u003C\u002Fjats:p>",{"EN":1149},"On 24 Forms of the Acoustic Wave Equation in Vortical Flows and\n                    Dissipative Media",{"VOID":1151},"10.1115\u002F1.2804329",[111],"https:\u002F\u002Fasmedigitalcollection.asme.org\u002Fappliedmechanicsreviews\u002Farticle\u002F60\u002F6\u002F291\u002F458481\u002FOn-24-Forms-of-the-Acoustic-Wave-Equation-in",[1155],{"id":1156,"sortIndex":25,"researcher":24,"roles":1157,"affiliations":1158,"properties":1167,"displayName":1171,"givenName":24,"familyName":24},"4ffa61ed-1c61-4d69-a550-e185b54f4c52",[],[1159],{"id":1160,"sortIndex":25,"affiliation":1161,"properties":24},"bfc3b16c-3a46-4ea6-81e3-b22469a878a3",{"id":1160,"createTime":24,"updateTime":24,"relativeEntities":1162,"slug":24,"properties":1163,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":1166,"statistic":24},[],{"title":1164},{"EN":1165},"Centro de Ciências e Tecnologias Aeronauticas e Espaciais (CCTAE) , Instituto Superior Técnico (IST), 1049-001 Lisbon, Portugal",[],{"orcid":1168,"title":1170,"openalex":1172},{"VOID":1169},"https:\u002F\u002Forcid.org\u002F0000-0002-1418-9532",{"EN":1171},"L. M. B. C. Campos",{"VOID":1173},"A5007799074",{"url":24,"publisher":1175,"properties":1213},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1176,"slug":10,"properties":1177,"entityType":22,"verifyStatus":23,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":25,"subjectFields":1182,"manageAffiliations":1187,"indexDatabases":1198,"url":83,"thumbnailPath":24,"statistic":24,"gsStatistic":24,"type":24,"analyzePriority":24},[],{"country":1178,"eissn":1179,"issn":1180,"title":1181},{"VOID":13},{"VOID":15},{"VOID":17},{"EN":19},[1183],{"id":28,"createTime":24,"updateTime":24,"relativeEntities":1184,"label":1185,"description":1186,"parentId":24,"standard":24,"scholarHubFieldId":24},[],{"EN":31},{},[1188,1193],{"id":35,"createTime":24,"updateTime":24,"relativeEntities":1189,"slug":24,"properties":1190,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":1192,"statistic":24},[],{"title":1191},{"EN":39},[],{"id":42,"createTime":24,"updateTime":24,"relativeEntities":1194,"slug":24,"properties":1195,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":1197,"statistic":24},[],{"title":1196},{"EN":46},[],[1199,1206],{"id":50,"indexDatabase":1200,"url":63,"indexYears":24,"academicFieldIds":1205,"indexDatabaseRanking":24},{"id":52,"createTime":24,"updateTime":24,"relativeEntities":1201,"label":1202,"description":1203,"key":59,"publicationTags":1204,"standard":24},[],{"EN":55,"VI":55},{"EN":57,"VI":58},[61,62],[65],{"id":67,"indexDatabase":1207,"url":78,"indexYears":79,"academicFieldIds":1212,"indexDatabaseRanking":82},{"id":69,"createTime":24,"updateTime":24,"relativeEntities":1208,"label":1209,"description":1210,"key":75,"publicationTags":1211,"standard":24},[],{"EN":72,"VI":72},{"EN":72,"VI":74},[77],[81],{"issue":1214,"pages":1216,"volume":1218},{"VOID":1215},"6",{"VOID":1217},"291-315",{"VOID":1219},"60",24,{"total":1220,"publishYear":1222,"statisticByYear":1223},2007,{"2012":189,"2013":189,"2014":950,"2015":189,"2016":1224,"2018":1224,"2019":1224,"2020":1224,"2024":950},2,"2007-11-01",[61,82],[1228,1232,1236,1240,1244,1248,1252,1256,1260,1263,1267,1270,1273,1277,1281,1284,1288,1292,1296,1299,1302,1306,1309,1313,1317,1321,1325,1328,1331,1335,1339,1343,1347,1351,1355,1359,1362,1366,1370,1374,1378,1382,1386,1389,1393,1397,1400,1404,1407,1411,1415,1419,1423,1427,1430,1434,1438,1442,1445,1449,1452,1455,1458,1461,1465,1468,1472,1476,1479,1482,1486,1490,1494,1498,1502,1506,1510,1513,1517,1520,1524,1528,1532,1536,1540,1544,1548,1552,1556,1560,1564,1568,1572,1576,1580,1584,1588,1592,1596,1600,1604,1607,1610,1613,1616,1619,1622,1625,1629,1633,1636,1640,1644,1648,1651,1655,1659,1662,1666,1670,1674,1677,1680,1683,1686,1690,1694,1698,1702,1705,1709,1712,1715,1718,1722,1726,1730,1734,1738,1741,1745,1748,1752,1756,1759,1762,1765,1769,1773,1777,1780,1783,1786,1789,1792,1795,1799,1802,1806,1810,1814,1817,1820,1824,1827,1831,1835,1838,1842,1846,1850,1854,1858,1862,1866,1870,1873,1876,1879,1883,1887,1890,1894,1898,1902,1905,1908,1911,1914,1917,1920,1923,1927,1931,1934,1937,1940,1944,1947,1950,1954,1958,1962,1966,1970,1973,1976,1979,1983,1986,1990,1994,1998,2002,2005,2008,2012,2015,2018,2021,2024,2028,2032,2036,2039,2043,2047,2051,2055,2059,2062,2066,2069,2073,2077,2081,2085,2088,2091,2094,2097,2100,2103,2107,2111,2115,2119,2123,2127,2130,2133,2136,2140,2143,2147,2150,2154,2158,2162,2166,2170,2173,2177,2181,2185,2189,2193,2197,2201,2205,2209,2212,2216,2220,2224,2227,2231,2235,2239,2243,2247,2251,2255,2259,2263,2267,2271,2275,2279,2283,2287,2291,2294,2298,2302,2305,2308,2312,2315,2318,2322,2325,2329,2331,2334,2337,2341,2345,2348,2351,2354,2358,2362,2365,2368,2371,2374,2377,2380,2383,2387,2391,2395,2399,2402,2406,2409,2413,2416,2419,2423,2427,2431,2434,2437,2441,2444,2447,2450,2454,2458,2462,2465,2468,2472,2476,2480,2484,2488,2491,2494,2497],{"id":24,"text":1229,"url":24,"identifiers":1230},"Campos, On 36 Forms of the Acoustic Wave Equations in Potential Flow\n                        and Inhomogeneous Media, Appl. Mech. Rev., 60, 149, 10.1115\u002F1.2750670",{"doi":1231},"10.1115\u002F1.2750670",{"id":24,"text":1233,"url":24,"identifiers":1234},"Howe, The Generation of Sound by Vorticity Waves in Swirling\n                        Flows, J. Fluid Mech., 81, 369, 10.1017\u002FS0022112077002109",{"doi":1235},"10.1017\u002FS0022112077002109",{"id":24,"text":1237,"url":24,"identifiers":1238},"Tam, The Wave Modes in\n                        Ducted Swirling Flows, J. Fluid Mech., 371, 1, 10.1017\u002FS0022112000001245",{"doi":1239},"10.1017\u002FS0022112000001245",{"id":24,"text":1241,"url":24,"identifiers":1242},"Gobulev, Sound Propagation\n                        in an Annular Duct Mean Potential Swirling Flow, J.\n                        Sound Vib., 198, 601, 10.1006\u002Fjsvi.1996.0591",{"doi":1243},"10.1006\u002Fjsvi.1996.0591",{"id":24,"text":1245,"url":24,"identifiers":1246},"Gobulev, Acoustic-Vorticity Waves in Swirling Flows, J. Sound Vib., 209, 203, 10.1006\u002Fjsvi.1997.1049",{"doi":1247},"10.1006\u002Fjsvi.1997.1049",{"id":24,"text":1249,"url":24,"identifiers":1250},"Campos, On the Acoustics of Unbounded and Ducted Vortex\n                        Flows, SIAM J. Appl. Math., 65, 1353, 10.1137\u002FS0036139903427076",{"doi":1251},"10.1137\u002FS0036139903427076",{"id":24,"text":1253,"url":24,"identifiers":1254},"Mohring, Energy Flux in\n                        Duct Flow, J. Sound Vib., 18, 101, 10.1016\u002F0022-460X(71)90634-1",{"doi":1255},"10.1016\u002F0022-460X(71)90634-1",{"id":24,"text":1257,"url":24,"identifiers":1258},"Mohring, Acoustic Energy\n                        Flux in Non-Homogeneous Ducts, J. Acoust. Soc.\n                        Am., 64, 1186, 10.1121\u002F1.382081",{"doi":1259},"10.1121\u002F1.382081",{"id":24,"text":1261,"url":24,"identifiers":1262},"Clebsch, Ueber eine\n                        algemeine Transformation der hydrodynamische Gleichungen, Crelle, 64, 150",{},{"id":24,"text":1264,"url":24,"identifiers":1265},"Campos, On the Reflection and Transmission of Sound in a Thick Shear\n                        Layer, J. Fluid Mech., 420, 1, 10.1017\u002FS0022112000001282",{"doi":1266},"10.1017\u002FS0022112000001282",{"id":24,"text":1268,"url":24,"identifiers":1269},"Haurwitz, Zur Theorie der\n                        Wellenbewegungen in Luft und Wasser, Veroffentliche\n                        Geophysik Universiteit Leipzig, 6, 334",{},{"id":24,"text":1271,"url":24,"identifiers":1272},"Kuchemann, Störungbewegungen\n                        in einer Gasströmung mit Grenzschicht, Z. Angew.\n                        Math. Mech., 30, 79",{},{"id":24,"text":1274,"url":24,"identifiers":1275},"Pridmore-Brown, Sound Propagation in a Fluid Flowing Through an Attenuating\n                        Duct, J. Fluid Mech., 4, 393, 10.1017\u002FS0022112058000537",{"doi":1276},"10.1017\u002FS0022112058000537",{"id":24,"text":1278,"url":24,"identifiers":1279},"Mohring, Problems in Flow\n                        Acoustics, Rev. Mod. Phys., 55, 707, 10.1103\u002FRevModPhys.55.707",{"doi":1280},"10.1103\u002FRevModPhys.55.707",{"id":24,"text":1282,"url":24,"identifiers":1283},"Campos, On Sound Propagation in Linear Shear Flow, J. Sound Vib., 95, 739",{},{"id":24,"text":1285,"url":24,"identifiers":1286},"Mani, The Influence of\n                        Jet Flow on Jet Noise. Part I. The Noise of Unheated Jets, J. Fluid Mech., 73, 753, 10.1017\u002FS0022112076001602",{"doi":1287},"10.1017\u002FS0022112076001602",{"id":24,"text":1289,"url":24,"identifiers":1290},"Mani, The Influence of\n                        Jet Flow on Jet Noise. Part II. The Noise of Heated Jets, J. Fluid Mech., 73, 779, 10.1017\u002FS0022112076001614",{"doi":1291},"10.1017\u002FS0022112076001614",{"id":24,"text":1293,"url":24,"identifiers":1294},"Campos, On the Acoustics of an Exponential Boundary\n                        Layer, Philos. Trans. R. Soc. London, Ser.\n                        A, 356, 2335, 10.1098\u002Frsta.1998.0277",{"doi":1295},"10.1098\u002Frsta.1998.0277",{"id":24,"text":1297,"url":24,"identifiers":1298},"Goldsteih, Scattering and\n                        Distortion of Unsteady Motion an Transversely Sheared Mean\n                        Flows, J. Sound Vib., 91, 601",{},{"id":24,"text":1300,"url":24,"identifiers":1301},"Goldstein, High-Frequency\n                        Sound Emission From Multipole Sources Embedded in Arbitrary Transversely\n                        Sheared Mean Flows, J. Sound Vib., 80, 449",{},{"id":24,"text":1303,"url":24,"identifiers":1304},"Campos, On the Spectra of Aerodynamic Noise and Aeroacoustic\n                        Fatigue, Prog. Aerosp. Sci., 33, 353, 10.1016\u002FS0376-0421(96)00009-7",{"doi":1305},"10.1016\u002FS0376-0421(96)00009-7",{"id":24,"text":1307,"url":24,"identifiers":1308},"Campos, On Some Recent Advances in Aeroacoustics, J. Sound Vib., 11, 27",{},{"id":24,"text":1310,"url":24,"identifiers":1311},"Graham, Effect of a Shear Layer on Plane Waves in a\n                        Fluid, J. Acoust. Soc. Am., 46, 169, 10.1121\u002F1.1911666",{"doi":1312},"10.1121\u002F1.1911666",{"id":24,"text":1314,"url":24,"identifiers":1315},"Balsa, The Farfield of High-Frequency Convected Singularities in\n                        Sheared Flow, With Application to Jet Noise Prediction, J. Fluid Mech., 74, 193, 10.1017\u002FS0022112076001766",{"doi":1316},"10.1017\u002FS0022112076001766",{"id":24,"text":1318,"url":24,"identifiers":1319},"Balsa, Refraction and Shielding of Sound From a Source in a\n                        Jet, J. Fluid Mech., 27, 513, 10.1017\u002FS0022112067000515",{"doi":1320},"10.1017\u002FS0022112067000515",{"id":24,"text":1322,"url":24,"identifiers":1323},"Campos, On the Spectral Broadening of Sound by Turbulent Shear\n                        Layers. Part I: Transmission of Sound Though Turbulent Shear\n                        Layers, J. Fluid Mech., 89, 723, 10.1017\u002FS0022112078002827",{"doi":1324},"10.1017\u002FS0022112078002827",{"id":24,"text":1326,"url":24,"identifiers":1327},"Campos, The Spectral Broadening of Sound by Turbulent Shear Layers.\n                        Part II: The Spectral Broadening of Sound and Aircraft\n                    Noise, J. Fluid Mech., 89, 750",{},{"id":24,"text":1329,"url":24,"identifiers":1330},"Campos, Sur la propagation du son dans les Écoulements non-uniformes\n                        et non-stationaires, Rev. Acoust., 67, 217",{},{"id":24,"text":1332,"url":24,"identifiers":1333},"Guedel, Scattering of an\n                        Acoustic Field by a Free Jet Shear Layer, J. Sound\n                        Vib., 100, 285, 10.1016\u002F0022-460X(85)90421-3",{"doi":1334},"10.1016\u002F0022-460X(85)90421-3",{"id":24,"text":1336,"url":24,"identifiers":1337},"Myers, Uniform Asymptotic Approximations for Duct Acoustic Modes in\n                        Thin Boundary-Layer Flow, AIAA J., 22, 1234, 10.2514\u002F3.48562",{"doi":1338},"10.2514\u002F3.48562",{"id":24,"text":1340,"url":24,"identifiers":1341},"Ffowcs-Williams, A Vortex Sheet\n                        Modeling of Boundary-Layer Noise, J. Fluid\n                        Mech., 113, 187, 10.1017\u002FS0022112081003455",{"doi":1342},"10.1017\u002FS0022112081003455",{"id":24,"text":1344,"url":24,"identifiers":1345},"Hanson, Shielding of Propfan Cabin Noise by the Fuselage Boundary\n                        Layer, J. Sound Vib., 92, 591, 10.1016\u002F0022-460X(84)90201-3",{"doi":1346},"10.1016\u002F0022-460X(84)90201-3",{"id":24,"text":1348,"url":24,"identifiers":1349},"Tack, Influence of Shear Flow on Sound Attenuation in Lined\n                        Ducts, J. Acoust. Soc. Am., 38, 655, 10.1121\u002F1.1909770",{"doi":1350},"10.1121\u002F1.1909770",{"id":24,"text":1352,"url":24,"identifiers":1353},"Mugur, Acoustic Wave Propagation in a Sheared Flow Contained in a\n                        Duct, J. Sound Vib., 9, 28, 10.1016\u002F0022-460X(69)90260-0",{"doi":1354},"10.1016\u002F0022-460X(69)90260-0",{"id":24,"text":1356,"url":24,"identifiers":1357},"Mariano, Effect of Wall\n                        Shear Layers on the Sound Attenuation in Acoustically Lined Rectangular\n                        Ducts, J. Sound Vib., 19, 261, 10.1016\u002F0022-460X(71)90688-2",{"doi":1358},"10.1016\u002F0022-460X(71)90688-2",{"id":24,"text":1360,"url":24,"identifiers":1361},"Eversman, Effect of\n                        Boundary Layer on the Transmission and Attenuation of Sound in an\n                        Acoustically Treated Circular Duct, J. Acoust. Soc.\n                        Am., 39, 1372",{},{"id":24,"text":1363,"url":24,"identifiers":1364},"Shankar, Acoustic Refraction by Duct Shear Layers, J. Fluid Mech., 47, 81, 10.1017\u002FS0022112071000946",{"doi":1365},"10.1017\u002FS0022112071000946",{"id":24,"text":1367,"url":24,"identifiers":1368},"Eversman, Transmission of Sound in Ducts With Thin Shear Layers:\n                        Convergence to the Uniform Flow Case, J. Acoust.\n                        Soc. Am., 52, 216, 10.1121\u002F1.1913082",{"doi":1369},"10.1121\u002F1.1913082",{"id":24,"text":1371,"url":24,"identifiers":1372},"Shankar, Sound Propagation in Duct Shear Layers, J. Sound Vib., 22, 221, 10.1016\u002F0022-460X(72)90537-8",{"doi":1373},"10.1016\u002F0022-460X(72)90537-8",{"id":24,"text":1375,"url":24,"identifiers":1376},"Ko, Sound Attenuation in Acoustically Lined Circular Ducts in\n                        the Presence of Uniform Flow and Shear Flow, J.\n                        Sound Vib., 22, 193, 10.1016\u002F0022-460X(72)90535-4",{"doi":1377},"10.1016\u002F0022-460X(72)90535-4",{"id":24,"text":1379,"url":24,"identifiers":1380},"Nayfeh, Acoustics of Aircraft Engine-Duct Systems, AIAA J., 13, 130, 10.2514\u002F3.49654",{"doi":1381},"10.2514\u002F3.49654",{"id":24,"text":1383,"url":24,"identifiers":1384},"Swinbanks, Sound Field Generated by a Source Distribution in a Long\n                        Duct Carrying a Shear Flow, J. Sound Vib., 40, 51, 10.1016\u002FS0022-460X(75)80230-6",{"doi":1385},"10.1016\u002FS0022-460X(75)80230-6",{"id":24,"text":1387,"url":24,"identifiers":1388},"Mani, Sound Propagation\n                        in Parallel Sheared Flows in Ducts: The Mode Estimation\n                        Problem, Philos. Trans. R. Soc. London, Ser.\n                        A, 371, 393",{},{"id":24,"text":1390,"url":24,"identifiers":1391},"Ishii, Acoustic Waves in\n                        Parallel Shear Flows in a Duct, J. Sound\n                        Vib., 113, 127, 10.1016\u002FS0022-460X(87)81346-9",{"doi":1392},"10.1016\u002FS0022-460X(87)81346-9",{"id":24,"text":1394,"url":24,"identifiers":1395},"Goldstein, Effect of Shear\n                        on Duct Wall Impedance, J. Sound Vib., 30, 79, 10.1016\u002F0022-460X(72)90764-X",{"doi":1396},"10.1016\u002F0022-460X(72)90764-X",{"id":24,"text":1398,"url":24,"identifiers":1399},"Jones, The Scattering of Sound by a Simple Shear\n                        Layer, Philos. Trans. R. Soc. London, Ser.\n                        A, 284, 287",{},{"id":24,"text":1401,"url":24,"identifiers":1402},"Jones, Acoustic of a Splitter Plate, J.\n                        Inst. Math. Appl., 21, 197, 10.1093\u002Fimamat\u002F21.2.197",{"doi":1403},"10.1093\u002Fimamat\u002F21.2.197",{"id":24,"text":1405,"url":24,"identifiers":1406},"Koutsoyannis, Characterization of Acoustic Disturbances in Linearly\n                        Sheared Flows, AIAA J., 68, 187",{},{"id":24,"text":1408,"url":24,"identifiers":1409},"Scott, Propagation of Wave Through a Linear Shear\n                        Layer, AIAA J., 17, 237, 10.2514\u002F3.61107",{"doi":1410},"10.2514\u002F3.61107",{"id":24,"text":1412,"url":24,"identifiers":1413},"Koutsoyannis, Acoustic Resonances and Sound Scattering by a Shear\n                        Layer, AIAA J., 18, 1446, 10.2514\u002F3.7736",{"doi":1414},"10.2514\u002F3.7736",{"id":24,"text":1416,"url":24,"identifiers":1417},"Salant, Symmetric Normal Modes in a Uniformly Rotating\n                        Fluid, J. Acoust. Soc. Am., 43, 1302, 10.1121\u002F1.1910984",{"doi":1418},"10.1121\u002F1.1910984",{"id":24,"text":1420,"url":24,"identifiers":1421},"Kerrebrock, Small Disturbances in Turbomachine Annuli With\n                        Swirl, AIAA J., 15, 794, 10.2514\u002F3.7370",{"doi":1422},"10.2514\u002F3.7370",{"id":24,"text":1424,"url":24,"identifiers":1425},"Greitzer, Axisymmetric\n                        Swirling Flows in Turbomachinery Annuli, ASME J.\n                        Eng. Power, 100, 618, 10.1115\u002F1.3446410",{"doi":1426},"10.1115\u002F1.3446410",{"id":24,"text":1428,"url":24,"identifiers":1429},"Cooper, Trapped Acoustic\n                        Modes is Aeroengine Intakes With Swirling Flow, J.\n                        Fluid Mech., 419, 151, 10.1017\u002FS0022112000001245",{"doi":1239},{"id":24,"text":1431,"url":24,"identifiers":1432},"Campos, On Some Solutions of the Extended Confluent Hypergeometric\n                        Differential Equation, J. Comput. Appl.\n                        Math., 137, 177, 10.1016\u002FS0377-0427(00)00706-8",{"doi":1433},"10.1016\u002FS0377-0427(00)00706-8",{"id":24,"text":1435,"url":24,"identifiers":1436},"Campos, On the Derivation of Asymptotic Expansions for Special\n                        Functions From the Corresponding Differential Equations, Integral Transforms Spec. Funct., 12, 227, 10.1080\u002F10652460108819347",{"doi":1437},"10.1080\u002F10652460108819347",{"id":24,"text":1439,"url":24,"identifiers":1440},"Benjamim, Internal Waves of Permanent Form in Fluids of Great\n                        Depth, J. Fluid Mech., 29, 559, 10.1017\u002FS002211206700103X",{"doi":1441},"10.1017\u002FS002211206700103X",{"id":24,"text":1443,"url":24,"identifiers":1444},"Bretherton, Propagation in Slowly Waveguides, Proc. R. Soc. London, Ser. A, 302, 555",{},{"id":24,"text":1446,"url":24,"identifiers":1447},"Rayleigh, On the Vibrations of an Atmosphere, Philos. Mag., 29, 173, 10.1080\u002F14786449008619921",{"doi":1448},"10.1080\u002F14786449008619921",{"id":24,"text":1450,"url":24,"identifiers":1451},"Pedlosky, Geophysical Fluid\n                        Dynamics, 2nd ed.",{},{"id":24,"text":1453,"url":24,"identifiers":1454},"Hines, The Upper Atmosphere in Motion",{},{"id":24,"text":1456,"url":24,"identifiers":1457},"Beer, Atmospheric\n                        Waves",{},{"id":24,"text":1459,"url":24,"identifiers":1460},"Grossard, Waves in the\n                        Atmosphere",{},{"id":24,"text":1462,"url":24,"identifiers":1463},"Campos, On Three-Dimensional Acoustic-Gravity Waves in Model\n                        Non-Isothermal Atmospheres, Wave Motion, 5, 1, 10.1016\u002F0165-2125(83)90002-1",{"doi":1464},"10.1016\u002F0165-2125(83)90002-1",{"id":24,"text":1466,"url":24,"identifiers":1467},"Campos, On Viscous and Resistive Dissipation of Hydrodynamic and\n                        Hydromagnetic Waves in Atmospheres, J. Mec. Theor.\n                        Appl., 2, 861",{},{"id":24,"text":1469,"url":24,"identifiers":1470},"Campos, On the Properties of Hydromagnetic Waves in the Vicinity of\n                        Critical Levels and Transition Layers, Geophys.\n                        Astrophys. Fluid Dyn., 40, 93, 10.1080\u002F03091928808208821",{"doi":1471},"10.1080\u002F03091928808208821",{"id":24,"text":1473,"url":24,"identifiers":1474},"Campos, On Oblique Magnetohydrodynamic Waves in an Atmosphere Under\n                        a Magnetic Field of Arbitrary Direction, Geophys.\n                        Astrophys. Fluid Dyn., 56, 237, 10.1080\u002F03091929108219520",{"doi":1475},"10.1080\u002F03091929108219520",{"id":24,"text":1477,"url":24,"identifiers":1478},"Campos, On the Reflection of Alfén Waves in the Inhomogeneous Solar\n                        Wind, Non-Linear Waves and Turbulence, Lect. Notes\n                        Phys., 52, 104",{},{"id":24,"text":1480,"url":24,"identifiers":1481},"Greenspan, Rotating Fluids",{},{"id":24,"text":1483,"url":24,"identifiers":1484},"Lehnert, Magnetohydrodynamic Waves Under the Action of Coriolis\n                        Forces, Astrophys. J., 119, 647, 10.1086\u002F145869",{"doi":1485},"10.1086\u002F145869",{"id":24,"text":1487,"url":24,"identifiers":1488},"Campos, On Waves in Gases. Part II: Interaction of Sound With\n                        Magnetic and Internal Modes, Rev. Mod.\n                        Phys., 59, 363, 10.1103\u002FRevModPhys.59.363",{"doi":1489},"10.1103\u002FRevModPhys.59.363",{"id":24,"text":1491,"url":24,"identifiers":1492},"Campos, On Hydromagnetic Waves in Atmospheres With Application to\n                        the Sun, Theor. Comput. Fluid Dyn., 10, 37, 10.1007\u002Fs001620050050",{"doi":1493},"10.1007\u002Fs001620050050",{"id":24,"text":1495,"url":24,"identifiers":1496},"Barclay, Waves in Thin-Walled, Non-Uniform Perfectly Elastic Tubes\n                        Containing an Incompressible Inviscid Fluid, J.\n                        Acoust. Soc. Am., 62, 1, 10.1121\u002F1.381483",{"doi":1497},"10.1121\u002F1.381483",{"id":24,"text":1499,"url":24,"identifiers":1500},"Cho, Mode Propagation in Non-Uniform Circular Ducts With\n                        Potential Flow, AIAA J., 21, 970, 10.2514\u002F3.8185",{"doi":1501},"10.2514\u002F3.8185",{"id":24,"text":1503,"url":24,"identifiers":1504},"Keefe, Acoustical Wave Propagation in Cylindrical Ducts:\n                        Transmission Line Parameter Approximations for Isothermal and Non-Isothermal\n                        Boundary Conditions, J. Acoust. Soc. Am., 75, 58, 10.1121\u002F1.390300",{"doi":1505},"10.1121\u002F1.390300",{"id":24,"text":1507,"url":24,"identifiers":1508},"Morfey, Sound Transmission and Generation in Ducts With\n                        Flow, J. Sound Vib., 14, 37, 10.1016\u002F0022-460X(71)90506-2",{"doi":1509},"10.1016\u002F0022-460X(71)90506-2",{"id":24,"text":1511,"url":24,"identifiers":1512},"Leppington, Acoustics of a\n                        Blocked Duct With Flow, J. Sound Vib., 72, 315",{},{"id":24,"text":1514,"url":24,"identifiers":1515},"Davies, Flow-Acoustic Coupling in Ducts, J.\n                        Sound Vib., 77, 191, 10.1016\u002FS0022-460X(81)80019-3",{"doi":1516},"10.1016\u002FS0022-460X(81)80019-3",{"id":24,"text":1518,"url":24,"identifiers":1519},"Mohring, The Influence of\n                        Perturbations of the Velocity and Speed of Sound on the Propagation of Sound\n                        Waves in Ducts, AIAA J., 76, 493",{},{"id":24,"text":1521,"url":24,"identifiers":1522},"Mohring, Acoustic Momentum\n                        and Energy Theorems for Piecewise Uniform Ducts, J.\n                        Acoust. Soc. Am., 67, 1463, 10.1121\u002F1.384319",{"doi":1523},"10.1121\u002F1.384319",{"id":24,"text":1525,"url":24,"identifiers":1526},"Cole, Sound Propagation in a Duct With Axial Sound Speed\n                        Variation: An Exact Solution, J. Sound\n                        Vib., 63, 237, 10.1016\u002F0022-460X(79)90880-0",{"doi":1527},"10.1016\u002F0022-460X(79)90880-0",{"id":24,"text":1529,"url":24,"identifiers":1530},"Miles, Reflection of Sound Due to a Change Cross Section of a\n                        Tube, J. Acoust. Soc. Am., 16, 14, 10.1121\u002F1.1916257",{"doi":1531},"10.1121\u002F1.1916257",{"id":24,"text":1533,"url":24,"identifiers":1534},"Pinker, R.\n                                A., and Bryce, W.\n                                D., 1976,\n                        “The Radiation of Plane Wave Duct Noise from Jet Exhausts,\n                        Statically and in Flight,” AIAA J.0001-1452, AIAA Paper No. 76–581.",{"doi":1535},"10.2514\u002F6.1976-581",{"id":24,"text":1537,"url":24,"identifiers":1538},"Cargill, Low-Frequency Sound Radiation and Generation Due to the\n                        Interaction of Unsteady Flow With a Jet Pipe, J.\n                        Fluid Mech., 121, 59, 10.1017\u002FS0022112082001803",{"doi":1539},"10.1017\u002FS0022112082001803",{"id":24,"text":1541,"url":24,"identifiers":1542},"Plumblee, Sound Measurements Within and in the Radiated Field of an\n                        Annular Duct With Flow, J. Sound Vib., 28, 715, 10.1016\u002FS0022-460X(73)80145-2",{"doi":1543},"10.1016\u002FS0022-460X(73)80145-2",{"id":24,"text":1545,"url":24,"identifiers":1546},"Silcox, Geometry and Static Flow Effects on Acoustic Radiation from\n                        Ducts, AIAA J., 22, 1087, 10.2514\u002F3.48551",{"doi":1547},"10.2514\u002F3.48551",{"id":24,"text":1549,"url":24,"identifiers":1550},"Barton, On Spherical Radiation and Vibration in Conical\n                        Pipes, Philos. Mag., 15, 69, 10.1080\u002F14786440809463748",{"doi":1551},"10.1080\u002F14786440809463748",{"id":24,"text":1553,"url":24,"identifiers":1554},"Hoersch, Non-Radial Harmonic Vibrations Within a Conical\n                        Horn, Phys. Rev., 25, 218, 10.1103\u002FPhysRev.25.218",{"doi":1555},"10.1103\u002FPhysRev.25.218",{"id":24,"text":1557,"url":24,"identifiers":1558},"Nayfeh, Acoustic Waves in a Duct With Sinusoidaly Perturbed Walls\n                        and Mean Flow, J. Acoust. Soc. Am., 57, 1036, 10.1121\u002F1.380570",{"doi":1559},"10.1121\u002F1.380570",{"id":24,"text":1561,"url":24,"identifiers":1562},"Nayfeh, Transmission of Sound Through Annular Ducts of Varying Cross\n                        Section, AIAA J., 13, 60, 10.2514\u002F3.49631",{"doi":1563},"10.2514\u002F3.49631",{"id":24,"text":1565,"url":24,"identifiers":1566},"Kelly, Acoustic Propagation in Partially-Choked\n                        Converging-Diverging Ducts, J. Sound Vib., 81, 519, 10.1016\u002F0022-460X(82)90294-2",{"doi":1567},"10.1016\u002F0022-460X(82)90294-2",{"id":24,"text":1569,"url":24,"identifiers":1570},"Nayfeh, Transmission of Sound Through Non-Uniform Circular Ducts\n                        With Compressible Mean Flows, AIAA J., 18, 515, 10.2514\u002F3.7665",{"doi":1571},"10.2514\u002F3.7665",{"id":24,"text":1573,"url":24,"identifiers":1574},"Nayfeh, A Comparison of Experiment and Theory for Sound Propagation\n                        in Variable-Area Ducts, Sound Vib., 71, 241, 10.1016\u002F0022-460X(80)90349-1",{"doi":1575},"10.1016\u002F0022-460X(80)90349-1",{"id":24,"text":1577,"url":24,"identifiers":1578},"Nayfeh, Propagation of Spinning Acoustic Modes in Partially Choked\n                        Converging Ducts, J. Acoust. Soc. Am., 71, 796, 10.1121\u002F1.387605",{"doi":1579},"10.1121\u002F1.387605",{"id":24,"text":1581,"url":24,"identifiers":1582},"Silcox, Sound Propagation Through a Variable-Area Duct: Experiment\n                        and Theory, AIAA J., 20, 1377, 10.2514\u002F3.51198",{"doi":1583},"10.2514\u002F3.51198",{"id":24,"text":1585,"url":24,"identifiers":1586},"Baumeister, Acoustics in a Variable-Area Duct: Finite Element and Finite\n                        Difference Comparisons to Experiment, AIAA\n                        J., 21, 193, 10.2514\u002F3.8054",{"doi":1587},"10.2514\u002F3.8054",{"id":24,"text":1589,"url":24,"identifiers":1590},"Uenishi, Two-Dimensional Acoustic Field in a Non-Uniform Duct\n                        Carrying Compressible Flow, AIAA J., 22, 1242, 10.2514\u002F3.48563",{"doi":1591},"10.2514\u002F3.48563",{"id":24,"text":1593,"url":24,"identifiers":1594},"Webster, Acoustical Impedance and the Theory of Horns an the\n                        Phonograph, Proc. Natl. Acad. Sci. U.S.A., 5, 275, 10.1073\u002Fpnas.5.7.275",{"doi":1595},"10.1073\u002Fpnas.5.7.275",{"id":24,"text":1597,"url":24,"identifiers":1598},"Rayleigh, On the Propagation of Sound in Narrow Tubes of Variable\n                        Section, Philos. Mag., 31, 89, 10.1080\u002F14786440208635477",{"doi":1599},"10.1080\u002F14786440208635477",{"id":24,"text":1601,"url":24,"identifiers":1602},"Weibel, On Webster’s Horn Equation, J.\n                        Acoust. Soc. Am., 75, 1705, 10.1121\u002F1.390972",{"doi":1603},"10.1121\u002F1.390972",{"id":24,"text":1605,"url":24,"identifiers":1606},"Lagrange, Nouvelles Recherches Sur la Nature et Propagation du\n                        Son, Miscecania Turinesia, 2, 11",{},{"id":24,"text":1608,"url":24,"identifiers":1609},"Euler, De motu\n                        vibratorio cordarum inequalter crassarum, Commentari Academie Scientarum Petropolitana, 9, 264",{},{"id":24,"text":1611,"url":24,"identifiers":1612},"Bernoulli, Mémoire sur les\n                        vibrations des cordes d’une épaisseur Inégale, Mem.\n                        Acad. Sci. Berlin, 21, 281",{},{"id":24,"text":1614,"url":24,"identifiers":1615},"Euler, Recherches sur le\n                        mouvement des cordes inegalement grosses, Miscecania Turinesia, 3, 27",{},{"id":24,"text":1617,"url":24,"identifiers":1618},"Euler, De motu aeris in\n                        tubis, Novi Comm. Acad. Scient. Petrop, 16, 281",{},{"id":24,"text":1620,"url":24,"identifiers":1621},"Truesdell, The Rational Mechanics of Flexible or Elastic Bodies\n                        1638–1788, Commentari Academie Scientarum\n                        Petropolitana, 2, 15",{},{"id":24,"text":1623,"url":24,"identifiers":1624},"McLachlan, Elements of Loudspeaker Practice",{},{"id":24,"text":1626,"url":24,"identifiers":1627},"McLachlan, The New Acoustics, 10.1288\u002F00005537-193612000-00008",{"doi":1628},"10.1288\u002F00005537-193612000-00008",{"id":24,"text":1630,"url":24,"identifiers":1631},"Eisner, Design of Sonic\n                        Amplitude Transformers for High Magnifications, J.\n                        Acoust. Soc. Am., 35, 1367, 10.1121\u002F1.1918699",{"doi":1632},"10.1121\u002F1.1918699",{"id":24,"text":1634,"url":24,"identifiers":1635},"Eisner, The Design of\n                        Resonant Vibrators, Physical Acoustics: Principles\n                        and Methods, 353",{},{"id":24,"text":1637,"url":24,"identifiers":1638},"Eisner, Complete\n                        Solutions of Webster’s Horn Equation, J. Acoust.\n                        Soc. Am., 41, 1126, 10.1121\u002F1.1910444",{"doi":1639},"10.1121\u002F1.1910444",{"id":24,"text":1641,"url":24,"identifiers":1642},"Campos, Some General Properties of the Exact Acoustic Fields in\n                        Horns and Nozzles, J. Sound Vib., 95, 177, 10.1016\u002F0022-460X(84)90541-8",{"doi":1643},"10.1016\u002F0022-460X(84)90541-8",{"id":24,"text":1645,"url":24,"identifiers":1646},"Campos, On the Propagation and Damping of Longitudinal Oscillations\n                        in Tapered Visco-Elastic Bars, J. Sound\n                        Vib., 126, 109, 10.1016\u002F0022-460X(88)90402-6",{"doi":1647},"10.1016\u002F0022-460X(88)90402-6",{"id":24,"text":1649,"url":24,"identifiers":1650},"Shapiro, The Dynamics and Thermodynamics of Compressible Fluid Flow",{},{"id":24,"text":1652,"url":24,"identifiers":1653},"Eisenberg, Propagation of Sound Through a Variable Area Duct With a\n                        Steady Mean Flow, J. Acoust. Soc. Am., 49, 169, 10.1121\u002F1.1912314",{"doi":1654},"10.1121\u002F1.1912314",{"id":24,"text":1656,"url":24,"identifiers":1657},"Lumsdaine, Effect of Flow in\n                        Quasi-One-Dimensional Acoustic Propagation in a Variable Duct of Finite\n                        Length, J. Sound Vib., 53, 47, 10.1016\u002F0022-460X(77)90093-1",{"doi":1658},"10.1016\u002F0022-460X(77)90093-1",{"id":24,"text":1660,"url":24,"identifiers":1661},"Campos, On the Propagation of Sound in Nozzles of Variable\n                        Cross-Section Containing a Low Mach Number Mean Flow, Z. Flugwiss. Weltraumforsch., 8, 97",{},{"id":24,"text":1663,"url":24,"identifiers":1664},"Campos, On Sound in an Inverse Sinusoidal Nozzle With Low Mach\n                        Number Mean Flow, J. Acoust. Soc. Am., 100, 355, 10.1121\u002F1.415852",{"doi":1665},"10.1121\u002F1.415852",{"id":24,"text":1667,"url":24,"identifiers":1668},"Campos, On the Convection of Sound in Inverse Catenoidal\n                        Nozzles, J. Sound Vib., 244, 195, 10.1006\u002Fjsvi.2000.3470",{"doi":1669},"10.1006\u002Fjsvi.2000.3470",{"id":24,"text":1671,"url":24,"identifiers":1672},"Lau, On the Effect of Wall Undulations on the Acoustics of Ducts\n                        With Flow, J. Sound Vib., 270, 361, 10.1016\u002FS0022-460X(03)00540-6",{"doi":1673},"10.1016\u002FS0022-460X(03)00540-6",{"id":24,"text":1675,"url":24,"identifiers":1676},"Poisson, Sur le mouvement des fluid élastiques dans les tuyaux\n                        cylindrigues, Mem. Acad. Sci. Inst. Fr., 2, 305",{},{"id":24,"text":1678,"url":24,"identifiers":1679},"Poisson, Sur le mouvement des fluids élastiques dans les tuvaux\n                        cylindriques, et sur la théorie des instruments à vent, Mem. Acad. Sci. Inst. Fr., 2, 305",{},{"id":24,"text":1681,"url":24,"identifiers":1682},"Green, On the Motion of\n                        Waves in a Variable Canal of Small Depth and Width, Proc. Cambridge Philos. Soc., 6, 457",{},{"id":24,"text":1684,"url":24,"identifiers":1685},"Heaviside,\n                                O.\n          ,\n                        1882, “Contributions to\n                        the Theory of the Propagation of Current in Wires,”\n                    Electrical Papers, Chelsea Publ. New York, Vol.\n                        1, pp.\n                    141–179.",{},{"id":24,"text":1687,"url":24,"identifiers":1688},"Pyle, Solid Torsional Horns, J. Acoust.\n                        Soc. Am., 41, 1147, 10.1121\u002F1.1910445",{"doi":1689},"10.1121\u002F1.1910445",{"id":24,"text":1691,"url":24,"identifiers":1692},"Campos, On Vertical Spinning Alfvén Waves in a Magnetic Flux\n                        Tube, J. Plasma Phys., 48, 415, 10.1017\u002FS0022377800016664",{"doi":1693},"10.1017\u002FS0022377800016664",{"id":24,"text":1695,"url":24,"identifiers":1696},"Olson, A Sound\n                        Concentrator for Microphones, J. Acoust. Soc.\n                        Am., 1, 410, 10.1121\u002F1.1915196",{"doi":1697},"10.1121\u002F1.1915196",{"id":24,"text":1699,"url":24,"identifiers":1700},"Olson, A Horn Consisting of Monifold Exponential\n                        Sections, Journal of the Society of Motion Picture\n                        Engineers, 30, 511, 10.5594\u002FJ16575",{"doi":1701},"10.5594\u002FJ16575",{"id":24,"text":1703,"url":24,"identifiers":1704},"Salmon, A New Family of\n                        Horns, J. Acoust. Soc. Am., 19, 212",{},{"id":24,"text":1706,"url":24,"identifiers":1707},"Nagarkar, Sinusoidal Horns, J. Acoust. Soc.\n                        Am., 50, 23, 10.1121\u002F1.1912609",{"doi":1708},"10.1121\u002F1.1912609",{"id":24,"text":1710,"url":24,"identifiers":1711},"Duhamel, Sur les vibrations des gas dans les tuyaux cylindriques,\n                        coniques, etc, J. Math. Pures Appl., 14, 49",{},{"id":24,"text":1713,"url":24,"identifiers":1714},"Barton, On Spherical Radiation and Vibrations in Conical\n                        Pipes, Philos. Mag., 15, 69, 10.1080\u002F14786440809463748",{"doi":1551},{"id":24,"text":1716,"url":24,"identifiers":1717},"Hoersch, Non-Radial Harmonic Vibrations Within a Conical\n                        Horn, Philos. Mag., 25, 218",{},{"id":24,"text":1719,"url":24,"identifiers":1720},"Stewart, The Performance of Conical Horns, Phys. Rev., 16, 313, 10.1103\u002FPhysRev.16.313",{"doi":1721},"10.1103\u002FPhysRev.16.313",{"id":24,"text":1723,"url":24,"identifiers":1724},"Ballantine, On the\n                        Propagation Sound in the General Bessel Horn of Infinite\n                        Length, J. Franklin Inst., 203, 85, 10.1016\u002FS0016-0032(27)90099-4",{"doi":1725},"10.1016\u002FS0016-0032(27)90099-4",{"id":24,"text":1727,"url":24,"identifiers":1728},"Bies, Tapering Bar of Uniform Stress in Longitudinal\n                        Oscillation, J. Acoust. Soc. Am., 34, 1567, 10.1121\u002F1.1909049",{"doi":1729},"10.1121\u002F1.1909049",{"id":24,"text":1731,"url":24,"identifiers":1732},"Mawardi, Generalized Solutions of Webster Horn\n                    Theory, J. Acoust. Soc. Am., 21, 323, 10.1121\u002F1.1906516",{"doi":1733},"10.1121\u002F1.1906516",{"id":24,"text":1735,"url":24,"identifiers":1736},"Lambert, Acoustical Studies of the Tractrix Horn, J. Acoust. Soc. Am., 26, 1024, 10.1121\u002F1.1907442",{"doi":1737},"10.1121\u002F1.1907442",{"id":24,"text":1739,"url":24,"identifiers":1740},"Pinkney, H. F.\n                                L., and Basso,\n                                G.,\n                        1963, “On the\n                        Classification of Families of Shapes for Rods of Axially Varying\n                        Cross-Section in Longitudinal Vibration,” Nat. Res. Counc.\n                    Canada. Mech. Eng. Report No. MS-109.",{},{"id":24,"text":1742,"url":24,"identifiers":1743},"Molloy, N-Parameter\n                        Ducts, J. Acoust. Soc. Am., 57, 1030, 10.1121\u002F1.380569",{"doi":1744},"10.1121\u002F1.380569",{"id":24,"text":1746,"url":24,"identifiers":1747},"Parodi, Propagation sur\n                        une ligne elétrique sans pertes dont les parameters lineiques sont des\n                        functions exponentielles du carré de l’espace, J.\n                        Phys., 6, 331",{},{"id":24,"text":1749,"url":24,"identifiers":1750},"Thiessen, Resonance Characteristics of a Finite Catenoidal\n                        Horn, J. Acoust. Soc. Am., 22, 558, 10.1121\u002F1.1906649",{"doi":1751},"10.1121\u002F1.1906649",{"id":24,"text":1753,"url":24,"identifiers":1754},"Goldstein, Sound Waves of Finite Amplitude in an Exponential\n                        Horn, J. Acoust. Soc. Am., 6, 275, 10.1121\u002F1.1915747",{"doi":1755},"10.1121\u002F1.1915747",{"id":24,"text":1757,"url":24,"identifiers":1758},"Merkulov, Theory and Analysis of Sectional\n                        Concentrators, J. Acoust. Soc. Am., 5, 183",{},{"id":24,"text":1760,"url":24,"identifiers":1761},"Merkulov, Tapering Bar of Uniform Stress in Longitudinal\n                        Oscillation, J. Acoust. Soc. Am., 34, 1567, 10.1121\u002F1.1909049",{"doi":1729},{"id":24,"text":1763,"url":24,"identifiers":1764},"Pochhammer, Ueber Die\n                        Fortpflanzungschwindigkeiten der Schwingungen in einem unbegrentzen\n                        isotropen Kreiszylinder, Crelle, 81, 324",{},{"id":24,"text":1766,"url":24,"identifiers":1767},"Salmon, Generalized Plane\n                        Wave Horn Theory, J. Acoust. Soc. Am., 17, 199, 10.1121\u002F1.1916316",{"doi":1768},"10.1121\u002F1.1916316",{"id":24,"text":1770,"url":24,"identifiers":1771},"Stevenson, General Theory of Electro-Magnetic Horns, J. Appl. Phys., 22, 1447, 10.1063\u002F1.1699891",{"doi":1772},"10.1063\u002F1.1699891",{"id":24,"text":1774,"url":24,"identifiers":1775},"Schwartz, Transformations in the Analysis of Non-Uniform Transmission\n                        Lines, J. Franklin Inst., 278, 163, 10.1016\u002F0016-0032(64)90306-0",{"doi":1776},"10.1016\u002F0016-0032(64)90306-0",{"id":24,"text":1778,"url":24,"identifiers":1779},"Jordan, Loudspeakers",{},{"id":24,"text":1781,"url":24,"identifiers":1782},"Olson, Applied\n                        Acoustics",{},{"id":24,"text":1784,"url":24,"identifiers":1785},"Olson, Elements of Acoustical Engineering",{},{"id":24,"text":1787,"url":24,"identifiers":1788},"Moir, High-Quality Sound\n                        Reproduction",{},{"id":24,"text":1790,"url":24,"identifiers":1791},"Olson, Modern Sound Reproduction",{},{"id":24,"text":1793,"url":24,"identifiers":1794},"Benade, Fundamentals of Musical Instruments",{},{"id":24,"text":1796,"url":24,"identifiers":1797},"Jeans, Science and\n                        Music, 10.1017\u002FCBO9780511694424",{"doi":1798},"10.1017\u002FCBO9780511694424",{"id":24,"text":1800,"url":24,"identifiers":1801},"Benade, Horns, Strings and Harmony",{},{"id":24,"text":1803,"url":24,"identifiers":1804},"Berg, The Physics of Sound, 10.1119\u002F1.12960",{"doi":1805},"10.1119\u002F1.12960",{"id":24,"text":1807,"url":24,"identifiers":1808},"Cabelli, Acoustic\n                        Characteristics of Duct Bends, J. Sound\n                        Vib., 68, 369, 10.1016\u002F0022-460X(80)90393-4",{"doi":1809},"10.1016\u002F0022-460X(80)90393-4",{"id":24,"text":1811,"url":24,"identifiers":1812},"Schroeder, Determination of the Geometry of the Human Vocal Tract by\n                        Acoustic Measurements, J. Acoust. Soc. Am., 41, 1002, 10.1121\u002F1.1910429",{"doi":1813},"10.1121\u002F1.1910429",{"id":24,"text":1815,"url":24,"identifiers":1816},"Mermelstein, Determination of\n                        the Vocal Tract Shape From Measured Formant Frequencies, J. Acoust. Soc. Am., 40, 1283",{},{"id":24,"text":1818,"url":24,"identifiers":1819},"Ishikawa, Input Acoustic\n                        Impedance Measurement of the Subglottal System, J.\n                        Acoust. Soc. Am., 60, 160",{},{"id":24,"text":1821,"url":24,"identifiers":1822},"Jackson, Acoustic Input Impedance of Excised Dog\n                        Lungs, J. Acoust. Soc. Am., 64, 1020, 10.1121\u002F1.382085",{"doi":1823},"10.1121\u002F1.382085",{"id":24,"text":1825,"url":24,"identifiers":1826},"Dallos, The Auditory\n                        Periphery",{},{"id":24,"text":1828,"url":24,"identifiers":1829},"Lighthill, Energy Flow in the Cochlea, J.\n                        Fluid Mech., 106, 149, 10.1017\u002FS0022112081001560",{"doi":1830},"10.1017\u002FS0022112081001560",{"id":24,"text":1832,"url":24,"identifiers":1833},"Jackson, Estimation of the Area Function of the Human Ear Canals by\n                        Sound Pressure Measurements, J. Acoust. Soc.\n                        Am., 73, 24, 10.1121\u002F1.388857",{"doi":1834},"10.1121\u002F1.388857",{"id":24,"text":1836,"url":24,"identifiers":1837},"Stevin, A Computational Model of the Ear Reflex, J. Acoust. Soc. Am., 55, 277",{},{"id":24,"text":1839,"url":24,"identifiers":1840},"Pyle, Duality Principle for Horns, J.\n                        Acoust. Soc. Am., 37, 1178A, 10.1121\u002F1.1939401",{"doi":1841},"10.1121\u002F1.1939401",{"id":24,"text":1843,"url":24,"identifiers":1844},"Campos, On the Acoustics of Low Mach Number Bulged, Throated and\n                        Baffled Nozzles, J. Sound Vib., 196, 611, 10.1006\u002Fjsvi.1996.0505",{"doi":1845},"10.1006\u002Fjsvi.1996.0505",{"id":24,"text":1847,"url":24,"identifiers":1848},"Campos, On Longitudinal Acoustic Propagation in Convergent and\n                        Divergent Nozzle Flows, J. Sound Vib., 117, 131, 10.1016\u002F0022-460X(87)90440-8",{"doi":1849},"10.1016\u002F0022-460X(87)90440-8",{"id":24,"text":1851,"url":24,"identifiers":1852},"Myers, On the Singular Behaviour of Linear Acoustic Theory in\n                        Near-Sonic Duct Flows, J. Sound Vib., 51, 517, 10.1016\u002FS0022-460X(77)80049-7",{"doi":1853},"10.1016\u002FS0022-460X(77)80049-7",{"id":24,"text":1855,"url":24,"identifiers":1856},"Powel, Propagation of a\n                        Pressure Pulse in a Compressible Mean Flow, J.\n                        Acoust. Soc. Am., 31, 1527, 10.1121\u002F1.1907660",{"doi":1857},"10.1121\u002F1.1907660",{"id":24,"text":1859,"url":24,"identifiers":1860},"Powel, Theory of Sound\n                        Propagation Ducts Carrying High-Speed Mean Flows, J. Acoust. Soc. Am., 32, 1640, 10.1121\u002F1.1931907",{"doi":1861},"10.1121\u002F1.1931907",{"id":24,"text":1863,"url":24,"identifiers":1864},"Miles, Acoustic Transmission Matrix for a Variable Area Duct or\n                        Nozzle Carrying Compressible Mean Flow, J. Acoust.\n                        Soc. Am., 69, 1577, 10.1121\u002F1.385961",{"doi":1865},"10.1121\u002F1.385961",{"id":24,"text":1867,"url":24,"identifiers":1868},"Nayfeh, Acoustic Propagation in Waves by a Periodic\n                        Array, Wave Motion, 8, 225, 10.1016\u002F0165-2125(86)90016-8",{"doi":1869},"10.1016\u002F0165-2125(86)90016-8",{"id":24,"text":1871,"url":24,"identifiers":1872},"Benade, On Plane and Spherical Waves in Horns With Nonuniform Flare.\n                        I: Theory of Radiation, Resonance, Frequencies and Mode\n                        Conversion, Acustica, 31, 79",{},{"id":24,"text":1874,"url":24,"identifiers":1875},"Jansson, On Plane and Spherical Waves in Horns With Non-Uniform\n                        Flare. II: Predictions and Measurements of Resonance Frequencies and\n                        Radiation Losses, Acustica, 31, 185",{},{"id":24,"text":1877,"url":24,"identifiers":1878},"Zamorski, Approximate\n                        Methods for the Solution of the Equation of Acoustic Wave Propagation in\n                        Horns, Arch. Acoust., 6, 237",{},{"id":24,"text":1880,"url":24,"identifiers":1881},"Bostrom, Acoustics Waves\n                        in a Duct With Periodically Varying Cross Section, Wave Motion, 5, 59, 10.1016\u002F0165-2125(83)90007-0",{"doi":1882},"10.1016\u002F0165-2125(83)90007-0",{"id":24,"text":1884,"url":24,"identifiers":1885},"Yeow, Webster Wave Equation in Two Dimensions, J. Acoust. Soc. Am., 56, 19, 10.1121\u002F1.1903227",{"doi":1886},"10.1121\u002F1.1903227",{"id":24,"text":1888,"url":24,"identifiers":1889},"Hasegawa, Propagation of\n                        Sound in Acoustic Slow Waveguides, Acustica, 52, 237",{},{"id":24,"text":1891,"url":24,"identifiers":1892},"Brindley, Speed of Sound in Bent Tubes and the Design of Wind\n                        Instruments, Nature (London), 246, 479, 10.1038\u002F246479a0",{"doi":1893},"10.1038\u002F246479a0",{"id":24,"text":1895,"url":24,"identifiers":1896},"Cho, Rigorous Solution for Sound Radiation from Circular Ducts\n                        With Hyperbolic Horn Or Infinite Plane Baffle, J.\n                        Sound Vib., 69, 405, 10.1016\u002F0022-460X(80)90480-0",{"doi":1897},"10.1016\u002F0022-460X(80)90480-0",{"id":24,"text":1899,"url":24,"identifiers":1900},"Caussé, Input Impedance\n                        of Brass Musical Instruments-Comparison Between Experiment and Numerical\n                        Models, J. Acoust. Soc. Am., 75, 241, 10.1121\u002F1.390402",{"doi":1901},"10.1121\u002F1.390402",{"id":24,"text":1903,"url":24,"identifiers":1904},"Fletcher, The Physics of Musical Instruments",{},{"id":24,"text":1906,"url":24,"identifiers":1907},"Meyer, Akustik und Musikalishe\n                        Auffuhrungspraxis",{},{"id":24,"text":1909,"url":24,"identifiers":1910},"Knudsen, Acoustical Designing in Architecture",{},{"id":24,"text":1912,"url":24,"identifiers":1913},"Makrinenko, Acoustics of Auditoriums in Public Buildings",{},{"id":24,"text":1915,"url":24,"identifiers":1916},"Beranek, Concert and Opera Halls",{},{"id":24,"text":1918,"url":24,"identifiers":1919},"Brekhovskikh, Waves in Layered Media, 2nd ed.",{},{"id":24,"text":1921,"url":24,"identifiers":1922},"Brekhovskikh, Acoustic Propagation in the Ocean",{},{"id":24,"text":1924,"url":24,"identifiers":1925},"Blokhintsev, The Propagation of Sound in an Inhomogeneous and Moving\n                        Medium, J. Acoust. Soc. Am., 18, 322, 10.1121\u002F1.1916368",{"doi":1926},"10.1121\u002F1.1916368",{"id":24,"text":1928,"url":24,"identifiers":1929},"Franken, Sound Propagation\n                        in a Moving Medium, J. Acoust. Soc. Am., 27, 1044, 10.1121\u002F1.1908110",{"doi":1930},"10.1121\u002F1.1908110",{"id":24,"text":1932,"url":24,"identifiers":1933},"Garrett, The Adiabatic Invariant for Wave Propagation in a\n                        Non-Uniform Moving Medium, Proc. R. Soc. London,\n                        Ser. A, 299, 26",{},{"id":24,"text":1935,"url":24,"identifiers":1936},"Lighthill, On the Energy Scattered From the Interaction of Turbulence\n                        With Sound and Shock Waves, Proc. Cambridge Philos.\n                        Soc., 44, 531",{},{"id":24,"text":1938,"url":24,"identifiers":1939},"Howe, Kinetic Theory of Wave Propagation in Random\n                        Media, Philos. Trans. R. Soc. London, Ser.\n                        A, 274, 523",{},{"id":24,"text":1941,"url":24,"identifiers":1942},"Howe, Multiple Scattering of Sound by Turbulence and Other\n                        Inhomogeneities, J. Sound Vib., 27, 455, 10.1016\u002FS0022-460X(73)80357-8",{"doi":1943},"10.1016\u002FS0022-460X(73)80357-8",{"id":24,"text":1945,"url":24,"identifiers":1946},"Lighthill, Jet Noise, AIAA J., 1, 1587",{},{"id":24,"text":1948,"url":24,"identifiers":1949},"Ffowcs-Williams, The Noise From Turbulence Convected at High\n                        Speed, Philos. Trans. R. Soc. London, 255, 471",{},{"id":24,"text":1951,"url":24,"identifiers":1952},"Ffowcs-Williams, Sound Production at the Edge of a Steady\n                        Flow, J. Fluid Mech., 66, 791, 10.1017\u002FS0022112074000516",{"doi":1953},"10.1017\u002FS0022112074000516",{"id":24,"text":1955,"url":24,"identifiers":1956},"Crighton, Basic Principles of Aerodynamic Noise\n                        Generation, Prog. Aerosp. Sci., 16, 31, 10.1016\u002F0376-0421(75)90010-X",{"doi":1957},"10.1016\u002F0376-0421(75)90010-X",{"id":24,"text":1959,"url":24,"identifiers":1960},"Proudman, The Generation of\n                        Sound by Isotropic Turbulence, Proc. R. Soc.\n                        London, Ser. A, 214, 119, 10.1098\u002Frspa.1952.0154",{"doi":1961},"10.1098\u002Frspa.1952.0154",{"id":24,"text":1963,"url":24,"identifiers":1964},"Lighthill, On Sound Generated Aerodynamically, I. General\n                        Theory, Proc. R. Soc. London, Ser. A, 211, 564, 10.1098\u002Frspa.1952.0060",{"doi":1965},"10.1098\u002Frspa.1952.0060",{"id":24,"text":1967,"url":24,"identifiers":1968},"Lighthill, On Sound Generated Aerodynamically. II. Turbulence as a\n                        Source of Sound, Proc. R. Soc. London, Ser.\n                        A, 222, 1, 10.1098\u002Frspa.1954.0049",{"doi":1969},"10.1098\u002Frspa.1954.0049",{"id":24,"text":1971,"url":24,"identifiers":1972},"Lighthill, On Sound Generated Aerodynamically: Bakerian\n                        Lecture, Proc. R. Soc. London, Ser. A, 267, 147",{},{"id":24,"text":1974,"url":24,"identifiers":1975},"Powel, Vortex\n                        Sound, J. Acoust. Soc. Am., 36, 117",{},{"id":24,"text":1977,"url":24,"identifiers":1978},"Campos, On the Emission of Sound by an Ionized\n                        Inhomogeneity, Proc. R. Soc. London, Ser.\n                        A, 359, 65",{},{"id":24,"text":1980,"url":24,"identifiers":1981},"Howe, Acoustics of Fluid-Structure Interaction, 10.1017\u002FCBO9780511662898",{"doi":1982},"10.1017\u002FCBO9780511662898",{"id":24,"text":1984,"url":24,"identifiers":1985},"Lilley, G.\n                                M.\n          , 1974,\n                        “On Noise From Jets,” AGARD CP-131, Paper No.\n                    13.1.",{},{"id":24,"text":1987,"url":24,"identifiers":1988},"Crighton, Sound Generation by Turbulent Two-Phase\n                    Flow, J. Fluid Mech., 36, 585, 10.1017\u002FS0022112069001868",{"doi":1989},"10.1017\u002FS0022112069001868",{"id":24,"text":1991,"url":24,"identifiers":1992},"Colonius, Sound Generation\n                        in a Mixing Layer, J. Fluid Mech., 330, 375, 10.1017\u002FS0022112096003928",{"doi":1993},"10.1017\u002FS0022112096003928",{"id":24,"text":1995,"url":24,"identifiers":1996},"Goldstein, An Exact form of Lilley’s Equation With a Velocity\n                        Quadrupole\u002FTemperature Dipole Source Term, J. Fluid\n                        Mech., 443, 231, 10.1017\u002FS002211200100547X",{"doi":1997},"10.1017\u002FS002211200100547X",{"id":24,"text":1999,"url":24,"identifiers":2000},"Goldstein, A Generalized Acoustic Analogy, J.\n                        Fluid Mech., 488, 315, 10.1017\u002FS0022112003004890",{"doi":2001},"10.1017\u002FS0022112003004890",{"id":24,"text":2003,"url":24,"identifiers":2004},"Musafr, A Note on the Description of Jet Noise Source\n                        Terms, Proceeding of the Institute of\n                        Acoustics, 15, 901",{},{"id":24,"text":2006,"url":24,"identifiers":2007},"Curle, On the Influence\n                        of Solid Boundaries Upon Aerodynamic Sound, Proc.\n                        R. Soc. London, Ser. A, 231, 505",{},{"id":24,"text":2009,"url":24,"identifiers":2010},"Goldstein, Unified Approach to Aerodynamic Sound Generation in the\n                        Presence of Solid Boundaries, J. Acoust. Soc.\n                        Am., 56, 497, 10.1121\u002F1.1903283",{"doi":2011},"10.1121\u002F1.1903283",{"id":24,"text":2013,"url":24,"identifiers":2014},"Doak, Acoustic Radiation From a Turbulent Fluid Containing Foreign\n                        Bodies, Proc. R. Soc. London, Ser. A, 254, 129",{},{"id":24,"text":2016,"url":24,"identifiers":2017},"Ffwocs-Williams, Sound Gemeration by Turbulence and Surfaces in Arbitrary\n                        Motion, Philos. Trans. R. Soc. London, Ser.\n                        A, 264, 321",{},{"id":24,"text":2019,"url":24,"identifiers":2020},"Lowson, The Sound Field for Singularities in\n                    Motion, Proc. R. Soc. London, Ser. A, 286, 559",{},{"id":24,"text":2022,"url":24,"identifiers":2023},"Farassat, Discontinuities\n                        in Aerodynamics: The Concept and Applications of Generalized\n                        Derivatives, J. Sound Vib., 62, 165",{},{"id":24,"text":2025,"url":24,"identifiers":2026},"Farassat, Extension of Kirchhoff’s Formula to Radiation From Moving\n                        Surfaces, J. Sound Vib., 123, 451, 10.1016\u002FS0022-460X(88)80162-7",{"doi":2027},"10.1016\u002FS0022-460X(88)80162-7",{"id":24,"text":2029,"url":24,"identifiers":2030},"Ffowcs-Williams, The Generation of Sound by Density Inhomogeneities in Low\n                        Mach Number Nozzle Flows, J. Fluid Mech., 70, 605, 10.1017\u002FS0022112075002224",{"doi":2031},"10.1017\u002FS0022112075002224",{"id":24,"text":2033,"url":24,"identifiers":2034},"Marble, Acoustic Disturbance From Gas Nonuniformities Convected\n                        Through a Nozzle, J. Sound Vib., 55, 225, 10.1016\u002F0022-460X(77)90596-X",{"doi":2035},"10.1016\u002F0022-460X(77)90596-X",{"id":24,"text":2037,"url":24,"identifiers":2038},"Jones, The Generation of\n                        Sound by Flames, Proc. R. Soc. London, Ser.\n                        A, 367, 291",{},{"id":24,"text":2040,"url":24,"identifiers":2041},"Michalke, Prediction of Jet\n                        Noise Flight From Static Tests, J. Sound\n                        Vib., 67, 341, 10.1016\u002F0022-460X(79)90541-8",{"doi":2042},"10.1016\u002F0022-460X(79)90541-8",{"id":24,"text":2044,"url":24,"identifiers":2045},"McGowan, Relationship Between Static, Flight and Simulated Flight Jet\n                        Noise Measurements, AIAA J., 22, 460, 10.2514\u002F3.48472",{"doi":2046},"10.2514\u002F3.48472",{"id":24,"text":2048,"url":24,"identifiers":2049},"Schmidt, Experimental Study of Sound Phase Fluctuations Caused by\n                        Turbulent Wakes, J. Acoust. Soc. Am., 47, 1310, 10.1121\u002F1.1912037",{"doi":2050},"10.1121\u002F1.1912037",{"id":24,"text":2052,"url":24,"identifiers":2053},"Ho, Acoustical Shadowgraph, Phys.\n                        Fluids, 19, 1118, 10.1063\u002F1.861617",{"doi":2054},"10.1063\u002F1.861617",{"id":24,"text":2056,"url":24,"identifiers":2057},"Ho, Propagation of a Coherent Acoustic Wave Through a Turbulent\n                        Shear Flow, J. Acoust. Soc. Am., 60, 40, 10.1121\u002F1.381047",{"doi":2058},"10.1121\u002F1.381047",{"id":24,"text":2060,"url":24,"identifiers":2061},"Chernov, Wave Propagation in a Random Medium",{},{"id":24,"text":2063,"url":24,"identifiers":2064},"Tatarski, Wave Propagation in Turbulent Medium, 10.1063\u002F1.3057286",{"doi":2065},"10.1063\u002F1.3057286",{"id":24,"text":2067,"url":24,"identifiers":2068},"Uscinski, Wave Propagation in Random Media",{},{"id":24,"text":2070,"url":24,"identifiers":2071},"Ishimaru, Wave Propagation and\n                        Scattering in Random Media, 10.1109\u002F9780470547045",{"doi":2072},"10.1109\u002F9780470547045",{"id":24,"text":2074,"url":24,"identifiers":2075},"Ogilvy, Wave Scattering Random Rough Surfaces, 10.1121\u002F1.401410",{"doi":2076},"10.1121\u002F1.401410",{"id":24,"text":2078,"url":24,"identifiers":2079},"Bechert, On the\n                        Amplification of Broadband Jet Noise by Pure Tone\n                    Excitation, J. Sound Vib., 43, 581, 10.1016\u002F0022-460X(75)90015-2",{"doi":2080},"10.1016\u002F0022-460X(75)90015-2",{"id":24,"text":2082,"url":24,"identifiers":2083},"Bechert, D.\n                                W., Michel,\n                                U., and\n                                Pfizenmaier,\n                                E.,\n                        1977, “Experiments on\n                        the Transmission of Sound Through Jets,” AIAA\n                        J.0001-1452, AIAA Paper No. 79–575.",{"doi":2084},"10.2514\u002F6.1977-1278",{"id":24,"text":2086,"url":24,"identifiers":2087},"Blanc-Benon, Effet d’un jet\n                        turbulent sur le niveau d’onde cohérente et sur I’intensité d’ un faisceau\n                        acoustique, C. R. Seances Acad. Sci., Ser.\n                        2, 293, 493",{},{"id":24,"text":2089,"url":24,"identifiers":2090},"Blanc-Benon, Elargissement\n                        d’un faisceau ultrasonore par transvergée d’un champ\n                        turbulent, C. R. Acad. Sci., 292, 551",{},{"id":24,"text":2092,"url":24,"identifiers":2093},"Blanc-Benon, Coherence\n                        spatialle d’un faisceau ultrasone aprés tranversée d’une turbulence\n                        cinématique, C. R. Acad. Sci., 294, 1221",{},{"id":24,"text":2095,"url":24,"identifiers":2096},"Blanc-Benon, Corrélations\n                        spatiotemporelles d’ un faisceau aprés transversée d’ un turbulence\n                        cinématique, C. R. Acad. Sci., 294, 1255",{},{"id":24,"text":2098,"url":24,"identifiers":2099},"Corcos, The Resolution of Pressure, J.\n                        Fluid Mech., 35, 192",{},{"id":24,"text":2101,"url":24,"identifiers":2102},"Corcos, The Resolution of in Turbulence at the Wall of a Boundary\n                        Layer, J. Fluid Mech., 6, 59",{},{"id":24,"text":2104,"url":24,"identifiers":2105},"Wilmarth, The Structure of the Turbulent Pressure Field in Boundary\n                        Layer Flows, Annu. Rev. Fluid Mech., 7, 187, 10.1146\u002Fannurev.fl.07.010175.001155",{"doi":2106},"10.1146\u002Fannurev.fl.07.010175.001155",{"id":24,"text":2108,"url":24,"identifiers":2109},"Bull, Wall Pressure Fluctuation in Turbulent Boundary Layers: Some\n                        Reflections in Forty Years of Search, J. Sound\n                        Vib., 190, 299, 10.1006\u002Fjsvi.1996.0066",{"doi":2110},"10.1006\u002Fjsvi.1996.0066",{"id":24,"text":2112,"url":24,"identifiers":2113},"Crow, Visco Elastic Character Fine-Grained Isotropic\n                        Turbulence, Phys. Fluids, 10, 1587, 10.1063\u002F1.1762327",{"doi":2114},"10.1063\u002F1.1762327",{"id":24,"text":2116,"url":24,"identifiers":2117},"Crow, Visco Elastic Properties of Fine-Grained Incompressible\n                        Turbulence, J. Fluid Mech., 33, 1, 10.1017\u002FS0022112068002314",{"doi":2118},"10.1017\u002FS0022112068002314",{"id":24,"text":2120,"url":24,"identifiers":2121},"Chase, Modelling the Wavevector-Frequency Spectrum of Turbulent\n                        Boundary Layer Wall Pressure, J. Sound\n                        Vib., 70, 29, 10.1016\u002F0022-460X(80)90553-2",{"doi":2122},"10.1016\u002F0022-460X(80)90553-2",{"id":24,"text":2124,"url":24,"identifiers":2125},"Chase, The Character of the Turbulent Wall Pressure Spectrum at Sub\n                        Convective Wavenumbers and Suggested Comprehensive Model, J. Sound Vib., 112, 125, 10.1016\u002FS0022-460X(87)80098-6",{"doi":2126},"10.1016\u002FS0022-460X(87)80098-6",{"id":24,"text":2128,"url":24,"identifiers":2129},"Efimtsov, Characteristics of the Field Turbulent Wall Pressure\n                        Fluctuations at Large Reynolds Numbers, Sov. Phys.\n                        Acoust., 28, 289",{},{"id":24,"text":2131,"url":24,"identifiers":2132},"Campos, Effects on Acouctic Fatigue Loads of Multiple Reflections\n                        Between a Plate and Turbulent Wake, Acustica, 76, 109",{},{"id":24,"text":2134,"url":24,"identifiers":2135},"Campos, On the Correlation of Acoustic Pressures Induced by a\n                        Turbulent Wake on a Nearby Wall, Acust. Acta\n                        Acust., 82, 9",{},{"id":24,"text":2137,"url":24,"identifiers":2138},"Campos, Comparison of\n                        Theory and Experiment on Aeroacoustic Loads and\n                    Deflections, J. Fluids Struct., 13, 3, 10.1006\u002Fjfls.1998.0192",{"doi":2139},"10.1006\u002Fjfls.1998.0192",{"id":24,"text":2141,"url":24,"identifiers":2142},"Landau, Fluid Mechanics",{},{"id":24,"text":2144,"url":24,"identifiers":2145},"Fourier, Théorie analytique de la\n                        chaleur, 10.1017\u002FCBO9780511693229",{"doi":2146},"10.1017\u002FCBO9780511693229",{"id":24,"text":2148,"url":24,"identifiers":2149},"Carslaw, Conduction of Heat in Solids, 2nd ed.",{},{"id":24,"text":2151,"url":24,"identifiers":2152},"Brown, Advances in Atmospheric Acoustics, Rev. Geophys. Space Phys., 16, 47, 10.1029\u002FRG016i001p00047",{"doi":2153},"10.1029\u002FRG016i001p00047",{"id":24,"text":2155,"url":24,"identifiers":2156},"Bass, Atmospheric Absorption of Sound: Further\n                        Developments, J. Acoust. Soc. Am., 97, 680, 10.1121\u002F1.412989",{"doi":2157},"10.1121\u002F1.412989",{"id":24,"text":2159,"url":24,"identifiers":2160},"Sutherland, Atmospheric Sound Propagation, Handbook of Acoustics, 10.1002\u002F9780470172513.ch32",{"doi":2161},"10.1002\u002F9780470172513.ch32",{"id":24,"text":2163,"url":24,"identifiers":2164},"Attenborough, Test Cases for\n                        Outdoor Sound Propagation, J. Acoust. Soc.\n                        Am., 97, 173, 10.1121\u002F1.412302",{"doi":2165},"10.1121\u002F1.412302",{"id":24,"text":2167,"url":24,"identifiers":2168},"Richards, Accurate\n                        FFT-based Hankel Transforms for Predictions of Outdoor Sound\n                        Propagation, J. Sound Vib., 109, 157, 10.1016\u002FS0022-460X(86)80029-3",{"doi":2169},"10.1016\u002FS0022-460X(86)80029-3",{"id":24,"text":2171,"url":24,"identifiers":2172},"Cerveneny, Computation of\n                        Wave Fields in Inhomogeneous Media-Gaussian Beam Approach, J. R. Astron. Soc. Can., 70, 109",{},{"id":24,"text":2174,"url":24,"identifiers":2175},"Gilbert, Application of the Parabolic Equation to Sound Propagation\n                        in a Refracting Atmosphere, J. Acoust. Soc.\n                        Am., 85, 630, 10.1121\u002F1.397587",{"doi":2176},"10.1121\u002F1.397587",{"id":24,"text":2178,"url":24,"identifiers":2179},"Gilbert, Calculation of\n                        Turbulence Effects in an Upward-Refracting Atmosphere, J. Acoust. Soc. Am., 87, 2428, 10.1121\u002F1.399088",{"doi":2180},"10.1121\u002F1.399088",{"id":24,"text":2182,"url":24,"identifiers":2183},"Esperance, Heuristic Model\n                        for Outdoor Sound Propagation Based on an Extension of the Geometrical Ray\n                        Theory in the Case of a Linear Sound Field Profile, Appl. Acoust., 37, 111, 10.1016\u002F0003-682X(92)90022-K",{"doi":2184},"10.1016\u002F0003-682X(92)90022-K",{"id":24,"text":2186,"url":24,"identifiers":2187},"Cabillet, Aplication of the\n                        Gaussian Beam Approach to Sound Propagation in the\n                        Atmosphere, J. Acoust. Soc. Am., 93, 3105, 10.1121\u002F1.405722",{"doi":2188},"10.1121\u002F1.405722",{"id":24,"text":2190,"url":24,"identifiers":2191},"Gilbert, A Fast Green’s\n                        Function Method for One-Way Sound Propagation in the\n                        Atmosphere, J. Acoust. Soc. Am., 94, 2343, 10.1121\u002F1.407454",{"doi":2192},"10.1121\u002F1.407454",{"id":24,"text":2194,"url":24,"identifiers":2195},"Raspet, A Fast-Field\n                        Program for Sound Propagation in a Layered Atmosphere Above an Impedance\n                        Ground, J. Acoust. Soc. Am., 77, 345, 10.1121\u002F1.391906",{"doi":2196},"10.1121\u002F1.391906",{"id":24,"text":2198,"url":24,"identifiers":2199},"Raspet, Normal Mode\n                        Solution for Low Frequency Sound Propagation in a Downward Refracting\n                        Atmosphere Above a Complex Impedance Plane, J.\n                        Acoust. Soc. Am., 91, 1341, 10.1121\u002F1.402463",{"doi":2200},"10.1121\u002F1.402463",{"id":24,"text":2202,"url":24,"identifiers":2203},"Li, High-Frequency Approximation of Sound Propagation in a\n                        Stratified Moving Atmosphere Above a Porous Ground Surface, J. Acoust. Soc. Am., 95, 1840, 10.1121\u002F1.408699",{"doi":2204},"10.1121\u002F1.408699",{"id":24,"text":2206,"url":24,"identifiers":2207},"Page, Wall Effects on Sound Propagation in Tubes, J. Sound Vib., 93, 473, 10.1016\u002F0022-460X(84)90416-4",{"doi":2208},"10.1016\u002F0022-460X(84)90416-4",{"id":24,"text":2210,"url":24,"identifiers":2211},"Kergomard, Ondes\n                        Quasi-Stationnaires Dans Les Pavillons Avec Pertes Visco-Thermiques Aux\n                        Parois, Acustica, 48, 31",{},{"id":24,"text":2213,"url":24,"identifiers":2214},"Cantrell, Interaction Between Sound and Flow in Acoustic Cavities:\n                        Mass, Momentrum and Energy Considerations, J.\n                        Acoust. Soc. Am., 36, 697, 10.1121\u002F1.1919047",{"doi":2215},"10.1121\u002F1.1919047",{"id":24,"text":2217,"url":24,"identifiers":2218},"Cummings, Acoustic\n                        Non-Linearities and Power Losses at Orfices, AIAA\n                        J., 22, 786, 10.2514\u002F3.8680",{"doi":2219},"10.2514\u002F3.8680",{"id":24,"text":2221,"url":24,"identifiers":2222},"Leppington, Acoustics of a\n                        Blocked Duct With Flow, J. Sound Vib., 72, 303, 10.1016\u002F0022-460X(80)90379-X",{"doi":2223},"10.1016\u002F0022-460X(80)90379-X",{"id":24,"text":2225,"url":24,"identifiers":2226},"Mortell, Non-Linear Forced Oscillations in a Closed Tube: Continuous\n                        Solutions of a Functional Equation, Proc. R. Soc.\n                        London, Ser. A, A367, 253",{},{"id":24,"text":2228,"url":24,"identifiers":2229},"Keller, Non-Linear Self-Excited Acoustic Oscillations in\n                        Cavities, J. Sound Vib., 94, 397, 10.1016\u002FS0022-460X(84)80019-X",{"doi":2230},"10.1016\u002FS0022-460X(84)80019-X",{"id":24,"text":2232,"url":24,"identifiers":2233},"Koch, Radiation of\n                        Sound from a Two-Dimensional Acoustically Lined Duct, J. Sound Vib., 55, 255, 10.1016\u002F0022-460X(77)90598-3",{"doi":2234},"10.1016\u002F0022-460X(77)90598-3",{"id":24,"text":2236,"url":24,"identifiers":2237},"Koch, Attenuation of\n                        Sound in Multi-Element Acoustically Lined Rectangular Ducts in the Absence\n                        of Mean Flow, J. Sound Vib., 52, 459, 10.1016\u002F0022-460X(77)90365-0",{"doi":2238},"10.1016\u002F0022-460X(77)90365-0",{"id":24,"text":2240,"url":24,"identifiers":2241},"Ogimoto, Modal Radiation Impedances for Semi-Infinite Unflanged\n                        Circular Ducts Including Flow Effects, J. Sound\n                        Vib., 62, 598, 10.1016\u002F0022-460X(79)90468-1",{"doi":2242},"10.1016\u002F0022-460X(79)90468-1",{"id":24,"text":2244,"url":24,"identifiers":2245},"Koch, Eigensolutions\n                        for Liners in Uniform Mean Flow Ducts, AIAA\n                        J., 21, 200, 10.2514\u002F3.8055",{"doi":2246},"10.2514\u002F3.8055",{"id":24,"text":2248,"url":24,"identifiers":2249},"Rienstra, Contributions to the Theory of Sound Propagation in Ducts\n                        With Bulk-Reacting Lining, J. Acoust. Soc.\n                        Am., 77, 1681, 10.1121\u002F1.391914",{"doi":2250},"10.1121\u002F1.391914",{"id":24,"text":2252,"url":24,"identifiers":2253},"Bies, Sound Propagation in Rectangular and Circular Cross-Section\n                        Ducts With Flow and Bulk-Reacting Liner, J. Sound\n                        Vib., 146, 47, 10.1016\u002F0022-460X(91)90522-L",{"doi":2254},"10.1016\u002F0022-460X(91)90522-L",{"id":24,"text":2256,"url":24,"identifiers":2257},"Masterman, Computer Method of Solving Waveguide-Iris\n                        Problems, Electron. Lett., 5, 23, 10.1049\u002Fel:19690016",{"doi":2258},"10.1049\u002Fel:19690016",{"id":24,"text":2260,"url":24,"identifiers":2261},"Howe, The Attenuation of Sound in a Randomly Lined\n                        Duct, J. Sound Vib., 87, 83, 10.1016\u002F0022-460X(83)90441-8",{"doi":2262},"10.1016\u002F0022-460X(83)90441-8",{"id":24,"text":2264,"url":24,"identifiers":2265},"Watson, An Acoustic Evaluation of Circumferentially Segmented Duct\n                        Liners, AIAA J., 22, 1229, 10.2514\u002F3.48561",{"doi":2266},"10.2514\u002F3.48561",{"id":24,"text":2268,"url":24,"identifiers":2269},"Fuller, Propagation and Radiation of Sound from Flanged Circular\n                        Ducts With Circumferentially Varying Wall Admittances, I: Semi-Infinite\n                        Ducts, J. Sound Vib., 93, 321, 10.1016\u002F0022-460X(84)90331-6",{"doi":2270},"10.1016\u002F0022-460X(84)90331-6",{"id":24,"text":2272,"url":24,"identifiers":2273},"Fuller, Propagation and Radiation of Sound from Flanged Circular\n                        Ducts With Circumferentially Varying Wall Admittances, II: Finite Ducts With\n                        Sources, J. Sound Vib., 93, 341, 10.1016\u002F0022-460X(84)90332-8",{"doi":2274},"10.1016\u002F0022-460X(84)90332-8",{"id":24,"text":2276,"url":24,"identifiers":2277},"Vaidya, The Propagation of Sound in Ducts Lined with\n                        Circumferentially Non-Uniform Admittance of the Form\n                        η0+ηqexp(iqθ), J. Sound Vib., 100, 463, 10.1016\u002F0022-460X(85)90534-6",{"doi":2278},"10.1016\u002F0022-460X(85)90534-6",{"id":24,"text":2280,"url":24,"identifiers":2281},"Regan, Modelling the\n                        Influence of Acoustic Liner Non-Uniformities on Duct Modes, J. Sound Vib., 219, 859, 10.1006\u002Fjsvi.1998.1905",{"doi":2282},"10.1006\u002Fjsvi.1998.1905",{"id":24,"text":2284,"url":24,"identifiers":2285},"Campos, On the Acoustic Modes in a Cylindrical Nozzle with an\n                        Arbitrary Impedance Distribution, J. Acoust. Soc.\n                        Am., 116, 3336, 10.1121\u002F1.1812308",{"doi":2286},"10.1121\u002F1.1812308",{"id":24,"text":2288,"url":24,"identifiers":2289},"Campos, On the Optimization of Non-Uniform Acoustic Liners on\n                        Annular Nozzles, J. Sound Vib., 275, 557, 10.1016\u002Fj.jsv.2003.06.035",{"doi":2290},"10.1016\u002Fj.jsv.2003.06.035",{"id":24,"text":2292,"url":24,"identifiers":2293},"Fabrikant, Sound Scattering by Vortex Flows, Akust. Zh., 29, 262",{},{"id":24,"text":2295,"url":24,"identifiers":2296},"Howe, On the Scattering of Sound by a Vortex\n                    Ring, J. Sound Vib., 87, 567, 10.1016\u002F0022-460X(83)90507-2",{"doi":2297},"10.1016\u002F0022-460X(83)90507-2",{"id":24,"text":2299,"url":24,"identifiers":2300},"Blevins, Review of Sound Induced by Vortex Shedding from\n                        Cylinders, J. Sound Vib., 92, 455, 10.1016\u002F0022-460X(84)90191-3",{"doi":2301},"10.1016\u002F0022-460X(84)90191-3",{"id":24,"text":2303,"url":24,"identifiers":2304},"Broadbent, Acoustic Destabilization of Vortices, Philos. Trans. R. Soc. London, 290, 353",{},{"id":24,"text":2306,"url":24,"identifiers":2307},"Leppington, Scattering of Quadrupole Sources Near the End of a Rigid\n                        Semi-Infinite Circular Pipe, Aeronautical Research\n                        Council, 1195, 5",{},{"id":24,"text":2309,"url":24,"identifiers":2310},"Howe, The Damping of Sound by Turbulent Wall Shear\n                        Layer, J. Acoust. Soc. Am., 98, 1723, 10.1121\u002F1.414408",{"doi":2311},"10.1121\u002F1.414408",{"id":24,"text":2313,"url":24,"identifiers":2314},"Blake, Mechanics of Flow-Induced Sound and Vibration",{},{"id":24,"text":2316,"url":24,"identifiers":2317},"Howe, Theory of Vortex Sound",{},{"id":24,"text":2319,"url":24,"identifiers":2320},"Nelson, Active Control of Sound, 10.1063\u002F1.2808788",{"doi":2321},"10.1063\u002F1.2808788",{"id":24,"text":2323,"url":24,"identifiers":2324},"Junger, Sound, Structures and\n                        their Interaction, 2nd ed.",{},{"id":24,"text":2326,"url":24,"identifiers":2327},"Paidoussis, Fluid-Structure Interactions, 10.1017\u002FCBO9780511760792",{"doi":2328},"10.1017\u002FCBO9780511760792",{"id":24,"text":1980,"url":24,"identifiers":2330},{"doi":1982},{"id":24,"text":2332,"url":24,"identifiers":2333},"Riemann., Ueber die Fortpflanzung\n                        ebener Luftwellen von endlicher Schwingungsweite, 156",{},{"id":24,"text":2335,"url":24,"identifiers":2336},"Lighthill, Viscosity Effects in Sound Waves of Finite\n                        Amplitude, Surveys in Mechanics, 250",{},{"id":24,"text":2338,"url":24,"identifiers":2339},"Campos, On the Computation of Special Functions With Application to\n                        Non-Linear and Inhomogeneous Waves, Comput.\n                        Mech., 3, 343, 10.1007\u002FBF00712148",{"doi":2340},"10.1007\u002FBF00712148",{"id":24,"text":2342,"url":24,"identifiers":2343},"Campos, On a Theory of Solar Spicules and the Atmospheric Mass\n                        Balance, Mon. Not. R. Astron. Soc., 207, 547, 10.1093\u002Fmnras\u002F207.3.547",{"doi":2344},"10.1093\u002Fmnras\u002F207.3.547",{"id":24,"text":2346,"url":24,"identifiers":2347},"Burgers, A Mathematical Model Illustrating the Theory of\n                        Turbulence, Adv. Appl. Math., 10, 171",{},{"id":24,"text":2349,"url":24,"identifiers":2350},"Burgers, The Non-Linear Diffusion\n                        Equation",{},{"id":24,"text":2352,"url":24,"identifiers":2353},"Cole, A Quasilinear Parabolic Equation Appearing in\n                        Aerodynamics, Q. J. Mech. Appl. Math., 9, 225",{},{"id":24,"text":2355,"url":24,"identifiers":2356},"Hopf, The Partial\n                        Differential Equation μt+μxμ=μxx, Commun. Pure\n                        Appl. Math., 3, 201, 10.1002\u002Fcpa.3160030302",{"doi":2357},"10.1002\u002Fcpa.3160030302",{"id":24,"text":2359,"url":24,"identifiers":2360},"Compos, On Waves in Gases, Part 1: Acoustics of Jests, Turbulence\n                        and Ducts, Rev. Mod. Phys., 58, 117, 10.1103\u002FRevModPhys.58.117",{"doi":2361},"10.1103\u002FRevModPhys.58.117",{"id":24,"text":2363,"url":24,"identifiers":2364},"Westerwelt, Parametric Acoustic Array, J.\n                        Acoust. Soc. Am., 35, 335",{},{"id":24,"text":2366,"url":24,"identifiers":2367},"Zabolotskaya, Quasiplane Waves in Non-Linear Acoustics of Confined\n                        Beams, Akust. Zh., 25, 515",{},{"id":24,"text":2369,"url":24,"identifiers":2370},"Kuznetsov, Equations of Non-Linear Acoustics, Akust. Zh., 16, 548",{},{"id":24,"text":2372,"url":24,"identifiers":2373},"Blackstock, Non-Linear Acoustics, American\n                        Institute of Physics Handbook",{},{"id":24,"text":2375,"url":24,"identifiers":2376},"Beyer, Non-Linear Acoustics",{},{"id":24,"text":2378,"url":24,"identifiers":2379},"Bjorno, Non-Linear\n                        Acoustics, In Acoustics and Vibration\n                        Progress, 101",{},{"id":24,"text":2381,"url":24,"identifiers":2382},"Polyakova, Propagation of Finite Disturbances in a Relaxing\n                        Medium, Sov. Phys. Acoust., 8, 78",{},{"id":24,"text":2384,"url":24,"identifiers":2385},"Ockendon, Non-Linear Wave Propagation in a Relaxing\n                        Gas, J. Fluid Mech., 39, 329, 10.1017\u002FS0022112069002205",{"doi":2386},"10.1017\u002FS0022112069002205",{"id":24,"text":2388,"url":24,"identifiers":2389},"Clarke, The Wave System Attached to a Slender Body in a Supersonic\n                        Relaxing Gas Stream. Basic Results: The Cone, J.\n                        Fluid Mech., 79, 499, 10.1017\u002FS0022112077000299",{"doi":2390},"10.1017\u002FS0022112077000299",{"id":24,"text":2392,"url":24,"identifiers":2393},"Van Wijngarden, On the Equations\n                        of Motion for Mixtures of Liquid and Gas Bubbles, J. Fluid Mech., 33, 465, 10.1017\u002FS002211206800145X",{"doi":2394},"10.1017\u002FS002211206800145X",{"id":24,"text":2396,"url":24,"identifiers":2397},"Chester, Resonant\n                        Oscillations in Closed Tubes, J. Fluid\n                        Mech., 18, 44, 10.1017\u002FS0022112064000040",{"doi":2398},"10.1017\u002FS0022112064000040",{"id":24,"text":2400,"url":24,"identifiers":2401},"Friedlander, Sound Pulses",{},{"id":24,"text":2403,"url":24,"identifiers":2404},"Karpman, Non-Linear Waves in Dispersive Media, 10.1016\u002FB978-0-08-017720-5.50008-7",{"doi":2405},"10.1016\u002FB978-0-08-017720-5.50008-7",{"id":24,"text":2407,"url":24,"identifiers":2408},"Novikov, Non-Linear Underwater Acoustics",{},{"id":24,"text":2410,"url":24,"identifiers":2411},"Kelbert, Pulses and Other Wave\n                        Processes in Fluids, 10.1007\u002F978-94-015-8644-3",{"doi":2412},"10.1007\u002F978-94-015-8644-3",{"id":24,"text":2414,"url":24,"identifiers":2415},"Naugolnykh, Non-Linear Wave Processes\n                        in Acoustics",{},{"id":24,"text":2417,"url":24,"identifiers":2418},"Drumheller, Wave Propagation in Non-Linear Fluids and Solids",{},{"id":24,"text":2420,"url":24,"identifiers":2421},"Miles, The Korteweg–de Vries Equation: a Historical\n                        Essay, J. Fluid Mech., 106, 131, 10.1017\u002FS0022112081001559",{"doi":2422},"10.1017\u002FS0022112081001559",{"id":24,"text":2424,"url":24,"identifiers":2425},"Gardner, Method for Solving the Korteweg de Vries\n                        Equation, Phys. Rev. Lett., 19, 1095, 10.1103\u002FPhysRevLett.19.1095",{"doi":2426},"10.1103\u002FPhysRevLett.19.1095",{"id":24,"text":2428,"url":24,"identifiers":2429},"Gardner, Korteweg–de Vries Equations and Generalizations. VI: Methods\n                        for Exact Solution, Commun. Pure Appl.\n                        Math., 27, 97, 10.1002\u002Fcpa.3160270108",{"doi":2430},"10.1002\u002Fcpa.3160270108",{"id":24,"text":2432,"url":24,"identifiers":2433},"Freeman, A Two-Dimensional Distributed Soliton Solution of the\n                        Korteweg–de Vries Equation, Proc. R. Soc. London,\n                        Ser. A, 366, 185",{},{"id":24,"text":2435,"url":24,"identifiers":2436},"Boussinesq, Théorie de\n                        I’intumencence liquide, appelée onde solitaire ou de translation, se\n                        propageant dans un canal rectangulaire, C. R. Hebd.\n                        Seances Acad. Sci., 72, 755",{},{"id":24,"text":2438,"url":24,"identifiers":2439},"Ono, Algebraic\n                        Solitary Waves in Stratified Fluids, J. Phys. Soc.\n                        Jpn., 39, 1082, 10.1143\u002FJPSJ.39.1082",{"doi":2440},"10.1143\u002FJPSJ.39.1082",{"id":24,"text":2442,"url":24,"identifiers":2443},"Bjomo, Finite Amplitude Wave\n                        Effects in Fluids",{},{"id":24,"text":2445,"url":24,"identifiers":2446},"Blackstock, Nonlinear Acoustics: Theoretical, American Institute of Physics Handbook, 3",{},{"id":24,"text":2448,"url":24,"identifiers":2449},"Beyer, Noninear Acoustics: Experimental, American Institute of Physics Handbook, 3",{},{"id":24,"text":2451,"url":24,"identifiers":2452},"Peube, Non-Linear\n                        Acoustics in Ducts With Varying Cross Section, J.\n                        Sound Vib., 27, 533, 10.1016\u002FS0022-460X(73)80360-8",{"doi":2453},"10.1016\u002FS0022-460X(73)80360-8",{"id":24,"text":2455,"url":24,"identifiers":2456},"Nayfeh, Finite-Amplitude Plane Waves in Ducts With Varying\n                        Properties, J. Acoust. Soc. Am., 57, 1413, 10.1121\u002F1.380628",{"doi":2457},"10.1121\u002F1.380628",{"id":24,"text":2459,"url":24,"identifiers":2460},"Baxter, The First-Order Non-Linear Sound Field of a Two-Frequency\n                        Spherical Source, J. Sound Vib., 94, 337, 10.1016\u002FS0022-460X(84)80015-2",{"doi":2461},"10.1016\u002FS0022-460X(84)80015-2",{"id":24,"text":2463,"url":24,"identifiers":2464},"Scott, Uniform Asymptotics for Spherical and Cylindrical Nonlinear\n                        Acoustic Waves Generated by a Sinusoidal Source, Proc. R. Soc. London, Ser. A, 375, 211",{},{"id":24,"text":2466,"url":24,"identifiers":2467},"Bjorno, Noise of Air Jets From Rectangular Slits, Acustica, 54, 247",{},{"id":24,"text":2469,"url":24,"identifiers":2470},"Blackstock, Thermoviscous Attenuation of Plane, Periodic,\n                        Finite-Amplitude Sound Waves, J. Acoust. Soc.\n                        Am., 36, 534, 10.1121\u002F1.1918996",{"doi":2471},"10.1121\u002F1.1918996",{"id":24,"text":2473,"url":24,"identifiers":2474},"Rose, Ultrasonic Waves in Solid Media, 10.1121\u002F1.428552",{"doi":2475},"10.1121\u002F1.428552",{"id":24,"text":2477,"url":24,"identifiers":2478},"Hayes, Sonic Boom, Annu. Rev. Fluid\n                        Mech., 3, 269, 10.1146\u002Fannurev.fl.03.010171.001413",{"doi":2479},"10.1146\u002Fannurev.fl.03.010171.001413",{"id":24,"text":2481,"url":24,"identifiers":2482},"Seiner, Acoustic\n                        Near-Field Properties Associated Broadband Shock Noise, AIAA J., 22, 1207, 10.2514\u002F3.8762",{"doi":2483},"10.2514\u002F3.8762",{"id":24,"text":2485,"url":24,"identifiers":2486},"Prasad, Non-Linear Wave\n                        Propagation on an Arbitrary Steady Transonic Flow, J. Fluid Mech., 57, 721, 10.1017\u002FS0022112073001977",{"doi":2487},"10.1017\u002FS0022112073001977",{"id":24,"text":2489,"url":24,"identifiers":2490},"Scott, The Non-Linear Propagation of Acoustic\n                    Noise, Proc. R. Soc. London, Ser. A, 55, 383",{},{"id":24,"text":2492,"url":24,"identifiers":2493},"Truesdeep, The Theory of Aerial Sound, Euleri\n                        Opera Omnia, 2, XIX",{},{"id":24,"text":2495,"url":24,"identifiers":2496},"Euler, Supplement au et\n                        continuation des rechurches sur la propogation du son, Mem. Acad. Sci. Berlin, 15, 1",{},{"id":24,"text":2498,"url":24,"identifiers":2499},"Poisson, Memoire sur la\n                        théorie du son, J. Ec. Polytech. (Paris), 2, 367",{},{"id":2501,"createTime":2502,"updateTime":2502,"relativeEntities":2503,"slug":2504,"properties":2505,"entityType":107,"verifyStatus":108,"verifyTime":2502,"verifyNote":109,"languages":2516,"translateLanguages":24,"viewCount":25,"primaryUrl":2517,"fullTextUrl":24,"authors":2518,"publicationType":131,"publisherRelationship":2536,"citationCount":2582,"citationInfo":2583,"publishDate":2588,"publishYear":2584,"citationAnalyzeStatus":23,"lastCitationAnalyze":24,"indexDatabases":2589,"openAccess":24,"references":2590,"isForceReanalyzing":760},"a5a66d82-7eb0-41fc-9bd3-57d64064cc3d","2024-12-05T17:26:06.298+00:00",[],"On-the-Dynamics-of-Cracked-Rotors-A-Literature-Survey",{"openalex":2506,"mag":2508,"abstract":2510,"title":2512,"doi":2514},{"VOID":2507},"W2056235384",{"VOID":2509},"2056235384",{"EN":2511},"\u003Cjats:p>Propagating fatigue cracks can have detrimental effects on the reliability of rotating machinery. An early crack warning can considerably extend the durability of these very expensive machines, increasing their reliability at the same time. Vibration monitoring as a means of detecting crack initiation has been receiving much interest. A detailed study of the vibrational behavior of cracked rotating shafts, therefore, is an important problem for engineers working in the area of the dynamics of machines. This article presents a review of the field of the dynamics of cracked rotors, including the modeling of the cracked part of the structure and finding different detection procedures to diagnose fracture damage. The material should be helpful to scientists and researchers working in this area or planning to work in it in the future. Since the study of nonrotating, cracked structural elements obviously is relevant to the cracked rotor problem, the review can also be a basis for discussing the dynamics of cracked beams and columns.\u003C\u002Fjats:p>",{"EN":2513},"On the Dynamics of Cracked Rotors: A Literature Survey",{"VOID":2515},"10.1115\u002F1.3119157",[111],"https:\u002F\u002Fasmedigitalcollection.asme.org\u002Fappliedmechanicsreviews\u002Farticle\u002F43\u002F1\u002F13\u002F400757\u002FOn-the-Dynamics-of-Cracked-Rotors-A-Literature",[2519],{"id":2520,"sortIndex":25,"researcher":24,"roles":2521,"affiliations":2522,"properties":2531,"displayName":2533,"givenName":24,"familyName":24},"b6e835b8-3a52-4602-80ef-6d61802e2cca",[],[2523],{"id":2524,"sortIndex":25,"affiliation":2525,"properties":24},"f2706457-3ee0-4514-ad26-f94803afad04",{"id":2524,"createTime":24,"updateTime":24,"relativeEntities":2526,"slug":24,"properties":2527,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2530,"statistic":24},[],{"title":2528},{"EN":2529},"Institut fu¨r Technische Mechanik, Universita¨t Karlsruhe, Kaiserstrasse 12, D-7500 Karlsruhe, West Germany",[],{"title":2532,"openalex":2534},{"EN":2533},"Jo ̈rg Wauer",{"VOID":2535},"A5091044010",{"url":24,"publisher":2537,"properties":2575},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":2538,"slug":10,"properties":2539,"entityType":22,"verifyStatus":23,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":25,"subjectFields":2544,"manageAffiliations":2549,"indexDatabases":2560,"url":83,"thumbnailPath":24,"statistic":24,"gsStatistic":24,"type":24,"analyzePriority":24},[],{"country":2540,"eissn":2541,"issn":2542,"title":2543},{"VOID":13},{"VOID":15},{"VOID":17},{"EN":19},[2545],{"id":28,"createTime":24,"updateTime":24,"relativeEntities":2546,"label":2547,"description":2548,"parentId":24,"standard":24,"scholarHubFieldId":24},[],{"EN":31},{},[2550,2555],{"id":35,"createTime":24,"updateTime":24,"relativeEntities":2551,"slug":24,"properties":2552,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2554,"statistic":24},[],{"title":2553},{"EN":39},[],{"id":42,"createTime":24,"updateTime":24,"relativeEntities":2556,"slug":24,"properties":2557,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2559,"statistic":24},[],{"title":2558},{"EN":46},[],[2561,2568],{"id":50,"indexDatabase":2562,"url":63,"indexYears":24,"academicFieldIds":2567,"indexDatabaseRanking":24},{"id":52,"createTime":24,"updateTime":24,"relativeEntities":2563,"label":2564,"description":2565,"key":59,"publicationTags":2566,"standard":24},[],{"EN":55,"VI":55},{"EN":57,"VI":58},[61,62],[65],{"id":67,"indexDatabase":2569,"url":78,"indexYears":79,"academicFieldIds":2574,"indexDatabaseRanking":82},{"id":69,"createTime":24,"updateTime":24,"relativeEntities":2570,"label":2571,"description":2572,"key":75,"publicationTags":2573,"standard":24},[],{"EN":72,"VI":72},{"EN":72,"VI":74},[77],[81],{"issue":2576,"pages":2578,"volume":2580},{"VOID":2577},"1",{"VOID":2579},"13-17",{"VOID":2581},"43",384,{"total":2582,"publishYear":2584,"statisticByYear":2585},1990,{"2012":857,"2013":2586,"2014":186,"2015":185,"2016":183,"2017":2587,"2018":2586,"2019":187,"2020":185,"2021":186,"2022":184,"2023":952,"2024":952},15,12,"1990-01-01",[61,82],[],{"id":2592,"createTime":2593,"updateTime":2593,"relativeEntities":2594,"slug":2595,"properties":2596,"entityType":107,"verifyStatus":108,"verifyTime":2593,"verifyNote":109,"languages":2607,"translateLanguages":24,"viewCount":25,"primaryUrl":2608,"fullTextUrl":24,"authors":2609,"publicationType":131,"publisherRelationship":2642,"citationCount":2687,"citationInfo":2688,"publishDate":2697,"publishYear":2689,"citationAnalyzeStatus":23,"lastCitationAnalyze":24,"indexDatabases":2698,"openAccess":24,"references":2699,"isForceReanalyzing":760},"22dc81f0-2e8e-45d7-94d4-3cc983a54877","2024-12-05T03:54:56.443+00:00",[],"Assessment-of-Shear-Deformation-Theories-for-Multilayered-Composite-Plates",{"openalex":2597,"mag":2599,"abstract":2601,"title":2603,"doi":2605},{"VOID":2598},"W2054506242",{"VOID":2600},"2054506242",{"EN":2602},"\u003Cjats:p>A review is made of the different approaches used for modeling multilayered composite plates. Discussion focuses on different approaches for developing two-dimensional shear deformation theories; classification of two-dimensional theories based on introducing plausible displacement, strain and\u002For stress assumptions in the thickness direction; and first-order shear deformation theories based on linear displacement assumptions in the thickness coordinate. Extensive numerical results are presented showing the effects of variation in the lamination and geometric parameters of simply supported composite plates on the accuracy of the static and vibrational responses predicted by six different modeling approaches (based on two-dimensional shear deformation theories). The standard of comparison is taken to be the exact three-dimensional elasticity solutions. Some of the future directions for research on the modeling of multilayered composite plates are outlined.\u003C\u002Fjats:p>",{"EN":2604},"Assessment of Shear Deformation Theories for Multilayered Composite Plates",{"VOID":2606},"10.1115\u002F1.3152418",[111],"https:\u002F\u002Fasmedigitalcollection.asme.org\u002Fappliedmechanicsreviews\u002Farticle\u002F42\u002F1\u002F1\u002F395223\u002FAssessment-of-Shear-Deformation-Theories-for",[2610,2627],{"id":2611,"sortIndex":25,"researcher":24,"roles":2612,"affiliations":2613,"properties":2622,"displayName":2624,"givenName":24,"familyName":24},"b4e15206-70fa-44a2-aa79-628f58ba12d6",[],[2614],{"id":2615,"sortIndex":25,"affiliation":2616,"properties":24},"ef242673-0d79-4684-bcef-8b4c26abc3df",{"id":2615,"createTime":24,"updateTime":24,"relativeEntities":2617,"slug":24,"properties":2618,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2621,"statistic":24},[],{"title":2619},{"EN":2620},"George Washington University, NASA-Langley Research Center, Hampton, Va. 23665",[],{"title":2623,"openalex":2625},{"EN":2624},"Ahmed K. Noor",{"VOID":2626},"A5109005714",{"id":2628,"sortIndex":950,"researcher":24,"roles":2629,"affiliations":2630,"properties":2637,"displayName":2639,"givenName":24,"familyName":24},"6883dd5c-9bb8-4180-a0ad-3eeab4ff4c03",[],[2631],{"id":2615,"sortIndex":25,"affiliation":2632,"properties":24},{"id":2615,"createTime":24,"updateTime":24,"relativeEntities":2633,"slug":24,"properties":2634,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2636,"statistic":24},[],{"title":2635},{"EN":2620},[],{"title":2638,"openalex":2640},{"EN":2639},"W. Scott Burton",{"VOID":2641},"A5051250955",{"url":24,"publisher":2643,"properties":2681},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":2644,"slug":10,"properties":2645,"entityType":22,"verifyStatus":23,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":25,"subjectFields":2650,"manageAffiliations":2655,"indexDatabases":2666,"url":83,"thumbnailPath":24,"statistic":24,"gsStatistic":24,"type":24,"analyzePriority":24},[],{"country":2646,"eissn":2647,"issn":2648,"title":2649},{"VOID":13},{"VOID":15},{"VOID":17},{"EN":19},[2651],{"id":28,"createTime":24,"updateTime":24,"relativeEntities":2652,"label":2653,"description":2654,"parentId":24,"standard":24,"scholarHubFieldId":24},[],{"EN":31},{},[2656,2661],{"id":35,"createTime":24,"updateTime":24,"relativeEntities":2657,"slug":24,"properties":2658,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2660,"statistic":24},[],{"title":2659},{"EN":39},[],{"id":42,"createTime":24,"updateTime":24,"relativeEntities":2662,"slug":24,"properties":2663,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2665,"statistic":24},[],{"title":2664},{"EN":46},[],[2667,2674],{"id":50,"indexDatabase":2668,"url":63,"indexYears":24,"academicFieldIds":2673,"indexDatabaseRanking":24},{"id":52,"createTime":24,"updateTime":24,"relativeEntities":2669,"label":2670,"description":2671,"key":59,"publicationTags":2672,"standard":24},[],{"EN":55,"VI":55},{"EN":57,"VI":58},[61,62],[65],{"id":67,"indexDatabase":2675,"url":78,"indexYears":79,"academicFieldIds":2680,"indexDatabaseRanking":82},{"id":69,"createTime":24,"updateTime":24,"relativeEntities":2676,"label":2677,"description":2678,"key":75,"publicationTags":2679,"standard":24},[],{"EN":72,"VI":72},{"EN":72,"VI":74},[77],[81],{"issue":2682,"pages":2683,"volume":2685},{"VOID":2577},{"VOID":2684},"1-13",{"VOID":2686},"42",691,{"total":2687,"publishYear":2689,"statisticByYear":2690},1989,{"2012":2691,"2013":2692,"2014":2693,"2015":2694,"2016":2693,"2017":857,"2018":2695,"2019":2696,"2020":2694,"2021":2696,"2022":184,"2023":185,"2024":185},26,23,20,17,18,13,"1989-01-01",[61,82],[],{"id":2701,"createTime":2702,"updateTime":2702,"relativeEntities":2703,"slug":2704,"properties":2705,"entityType":107,"verifyStatus":108,"verifyTime":2702,"verifyNote":109,"languages":2716,"translateLanguages":24,"viewCount":25,"primaryUrl":2717,"fullTextUrl":24,"authors":2718,"publicationType":131,"publisherRelationship":2755,"citationCount":2800,"citationInfo":2801,"publishDate":2807,"publishYear":2802,"citationAnalyzeStatus":23,"lastCitationAnalyze":24,"indexDatabases":2808,"openAccess":24,"references":2809,"isForceReanalyzing":760},"f54c477d-2afa-4a8f-b59d-0e0456158710","2024-12-05T03:54:56.162+00:00",[],"Theories-and-Computational-Models-for-Composite-Laminates",{"openalex":2706,"mag":2708,"abstract":2710,"title":2712,"doi":2714},{"VOID":2707},"W1991289302",{"VOID":2709},"1991289302",{"EN":2711},"\u003Cjats:p>A review of equivalent–single–layer and layerwise laminated plate theories and their finite element models is presented. The layerwise theory advanced by the senior author is presented and a variable displacement finite element model and mesh superposition techniques are described. A simultaneous multiple model approach that is based on the variable kinematic theory and the mesh superposition method are also described. The objective of the simultaneous multiple model approach is to match the most appropriate mathematical model with each subregion based on the physical characteristics, applied loading, expected behavior, and level of solution accuracy desired in that subregion. Thus solution economy is maximized without sacrificing the solution accuracy.\u003C\u002Fjats:p>",{"EN":2713},"Theories and Computational Models for Composite Laminates",{"VOID":2715},"10.1115\u002F1.3111076",[111],"https:\u002F\u002Fasmedigitalcollection.asme.org\u002Fappliedmechanicsreviews\u002Farticle\u002F47\u002F6\u002F147\u002F401294\u002FTheories-and-Computational-Models-for-Composite",[2719,2738],{"id":2720,"sortIndex":25,"researcher":24,"roles":2721,"affiliations":2722,"properties":2731,"displayName":2735,"givenName":24,"familyName":24},"b33de0a3-23dd-430f-b153-cde0e7722b05",[],[2723],{"id":2724,"sortIndex":25,"affiliation":2725,"properties":24},"98850819-99e5-4ebe-a0b1-b14ed052a765",{"id":2724,"createTime":24,"updateTime":24,"relativeEntities":2726,"slug":24,"properties":2727,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2730,"statistic":24},[],{"title":2728},{"EN":2729},"Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123",[],{"orcid":2732,"title":2734,"openalex":2736},{"VOID":2733},"https:\u002F\u002Forcid.org\u002F0000-0002-9739-1639",{"EN":2735},"J. N. Reddy",{"VOID":2737},"A5053596832",{"id":2739,"sortIndex":950,"researcher":24,"roles":2740,"affiliations":2741,"properties":2750,"displayName":2752,"givenName":24,"familyName":24},"35d2adc8-ce3d-40c2-8268-d0cb2b1c0a71",[],[2742],{"id":2743,"sortIndex":25,"affiliation":2744,"properties":24},"ff41968b-4f75-4396-9f43-005d1918ebde",{"id":2743,"createTime":24,"updateTime":24,"relativeEntities":2745,"slug":24,"properties":2746,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2749,"statistic":24},[],{"title":2747},{"EN":2748},"Department of Engineering Science & Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Va. 24061",[],{"title":2751,"openalex":2753},{"EN":2752},"D. H. Robbins",{"VOID":2754},"A5110027421",{"url":24,"publisher":2756,"properties":2794},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":2757,"slug":10,"properties":2758,"entityType":22,"verifyStatus":23,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":25,"subjectFields":2763,"manageAffiliations":2768,"indexDatabases":2779,"url":83,"thumbnailPath":24,"statistic":24,"gsStatistic":24,"type":24,"analyzePriority":24},[],{"country":2759,"eissn":2760,"issn":2761,"title":2762},{"VOID":13},{"VOID":15},{"VOID":17},{"EN":19},[2764],{"id":28,"createTime":24,"updateTime":24,"relativeEntities":2765,"label":2766,"description":2767,"parentId":24,"standard":24,"scholarHubFieldId":24},[],{"EN":31},{},[2769,2774],{"id":35,"createTime":24,"updateTime":24,"relativeEntities":2770,"slug":24,"properties":2771,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2773,"statistic":24},[],{"title":2772},{"EN":39},[],{"id":42,"createTime":24,"updateTime":24,"relativeEntities":2775,"slug":24,"properties":2776,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2778,"statistic":24},[],{"title":2777},{"EN":46},[],[2780,2787],{"id":50,"indexDatabase":2781,"url":63,"indexYears":24,"academicFieldIds":2786,"indexDatabaseRanking":24},{"id":52,"createTime":24,"updateTime":24,"relativeEntities":2782,"label":2783,"description":2784,"key":59,"publicationTags":2785,"standard":24},[],{"EN":55,"VI":55},{"EN":57,"VI":58},[61,62],[65],{"id":67,"indexDatabase":2788,"url":78,"indexYears":79,"academicFieldIds":2793,"indexDatabaseRanking":82},{"id":69,"createTime":24,"updateTime":24,"relativeEntities":2789,"label":2790,"description":2791,"key":75,"publicationTags":2792,"standard":24},[],{"EN":72,"VI":72},{"EN":72,"VI":74},[77],[81],{"issue":2795,"pages":2796,"volume":2798},{"VOID":1215},{"VOID":2797},"147-169",{"VOID":2799},"47",495,{"total":2800,"publishYear":2802,"statisticByYear":2803},1994,{"2012":2693,"2013":2804,"2014":2693,"2015":2694,"2016":2693,"2017":2805,"2018":2587,"2019":2804,"2020":857,"2021":2806,"2022":2692,"2023":857,"2024":2696},29,27,19,"1994-06-01",[61,82],[],{"id":2811,"createTime":2812,"updateTime":2812,"relativeEntities":2813,"slug":2814,"properties":2815,"entityType":107,"verifyStatus":108,"verifyTime":2826,"verifyNote":109,"languages":2827,"translateLanguages":24,"viewCount":25,"primaryUrl":2828,"fullTextUrl":24,"authors":2829,"publicationType":131,"publisherRelationship":2875,"citationCount":2921,"citationInfo":2922,"publishDate":2927,"publishYear":2923,"citationAnalyzeStatus":23,"lastCitationAnalyze":24,"indexDatabases":2928,"openAccess":24,"references":2929,"isForceReanalyzing":760},"f093a62c-d081-4488-95ac-f3e86e487249","2024-12-05T03:54:55.848+00:00",[],"Computational-Models-for-Sandwich-Panels-and-Shells",{"openalex":2816,"mag":2818,"abstract":2820,"title":2822,"doi":2824},{"VOID":2817},"W2075343494",{"VOID":2819},"2075343494",{"EN":2821},"\u003Cjats:p>The focus of this review is on the hierarchy of computational models for sandwich plates and shells, predictor-corrector procedures, and the sensitivity of the sandwich response to variations in the different geometric and material parameters. The literature reviewed is devoted to the following application areas: heat transfer problems; thermal and mechanical stresses (including boundary layer and edge stresses); free vibrations and damping; transient dynamic response; bifurcation buckling, local buckling, face-sheet wrinkling and core crimping; large deflection and postbuckling problems; effects of discontinuities (eg, cutouts and stiffeners), and geometric changes (eg, tapered thickness); damage and failure of sandwich structures; experimental studies; optimization and design studies. Over 800 relevant references are cited in this review, and another 559 references are included in a supplemental bibliography for completeness. Extensive numerical results are presented for thermally stressed sandwich panels with composite face sheets showing the effects of variation in their geometric and material parameters on the accuracy of the free vibration response, and the sensitivity coefficients predicted by eight different modeling approaches (based on two-dimensional theories). The standard of comparison is taken to be the analytic three-dimensional thermoelasticity solutions. Some future directions for research on the modeling of sandwich plates and shells are outlined.\u003C\u002Fjats:p>",{"EN":2823},"Computational Models for Sandwich Panels and Shells",{"VOID":2825},"10.1115\u002F1.3101923","2024-12-05T03:54:55.847+00:00",[111],"https:\u002F\u002Fasmedigitalcollection.asme.org\u002Fappliedmechanicsreviews\u002Farticle\u002F49\u002F3\u002F155\u002F401016\u002FComputational-Models-for-Sandwich-Panels-and",[2830,2845,2858],{"id":2831,"sortIndex":25,"researcher":24,"roles":2832,"affiliations":2833,"properties":2842,"displayName":2624,"givenName":24,"familyName":24},"c7618ecb-9bd9-447c-92f0-f6c0eee3f6c9",[],[2834],{"id":2835,"sortIndex":25,"affiliation":2836,"properties":24},"e6a11f0d-df6f-41da-8a87-4124581ad5dd",{"id":2835,"createTime":24,"updateTime":24,"relativeEntities":2837,"slug":24,"properties":2838,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2841,"statistic":24},[],{"title":2839},{"EN":2840},"Center for Advanced Computational Technology, University of Virginia, NASA Langley Research Center, Hampton VA 23681",[],{"title":2843,"openalex":2844},{"EN":2624},{"VOID":2626},{"id":2846,"sortIndex":950,"researcher":24,"roles":2847,"affiliations":2848,"properties":2855,"displayName":2639,"givenName":24,"familyName":24},"291a2e87-c9a0-4fb4-b497-77f8ddd097d7",[],[2849],{"id":2835,"sortIndex":25,"affiliation":2850,"properties":24},{"id":2835,"createTime":24,"updateTime":24,"relativeEntities":2851,"slug":24,"properties":2852,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2854,"statistic":24},[],{"title":2853},{"EN":2840},[],{"title":2856,"openalex":2857},{"EN":2639},{"VOID":2641},{"id":2859,"sortIndex":1224,"researcher":24,"roles":2860,"affiliations":2861,"properties":2870,"displayName":2872,"givenName":24,"familyName":24},"b39e7c6c-1184-4139-bb33-6a9ba151854c",[],[2862],{"id":2863,"sortIndex":25,"affiliation":2864,"properties":24},"2bae669d-02fb-4294-a977-df2e70036086",{"id":2863,"createTime":24,"updateTime":24,"relativeEntities":2865,"slug":24,"properties":2866,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2869,"statistic":24},[],{"title":2867},{"EN":2868},"School of Aerospace and Mechanical Engineering, University of Oklahoma, Norman OK 73019-0601",[],{"title":2871,"openalex":2873},{"EN":2872},"Charles W. Bert",{"VOID":2874},"A5112368059",{"url":24,"publisher":2876,"properties":2914},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":2877,"slug":10,"properties":2878,"entityType":22,"verifyStatus":23,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":25,"subjectFields":2883,"manageAffiliations":2888,"indexDatabases":2899,"url":83,"thumbnailPath":24,"statistic":24,"gsStatistic":24,"type":24,"analyzePriority":24},[],{"country":2879,"eissn":2880,"issn":2881,"title":2882},{"VOID":13},{"VOID":15},{"VOID":17},{"EN":19},[2884],{"id":28,"createTime":24,"updateTime":24,"relativeEntities":2885,"label":2886,"description":2887,"parentId":24,"standard":24,"scholarHubFieldId":24},[],{"EN":31},{},[2889,2894],{"id":35,"createTime":24,"updateTime":24,"relativeEntities":2890,"slug":24,"properties":2891,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2893,"statistic":24},[],{"title":2892},{"EN":39},[],{"id":42,"createTime":24,"updateTime":24,"relativeEntities":2895,"slug":24,"properties":2896,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2898,"statistic":24},[],{"title":2897},{"EN":46},[],[2900,2907],{"id":50,"indexDatabase":2901,"url":63,"indexYears":24,"academicFieldIds":2906,"indexDatabaseRanking":24},{"id":52,"createTime":24,"updateTime":24,"relativeEntities":2902,"label":2903,"description":2904,"key":59,"publicationTags":2905,"standard":24},[],{"EN":55,"VI":55},{"EN":57,"VI":58},[61,62],[65],{"id":67,"indexDatabase":2908,"url":78,"indexYears":79,"academicFieldIds":2913,"indexDatabaseRanking":82},{"id":69,"createTime":24,"updateTime":24,"relativeEntities":2909,"label":2910,"description":2911,"key":75,"publicationTags":2912,"standard":24},[],{"EN":72,"VI":72},{"EN":72,"VI":74},[77],[81],{"issue":2915,"pages":2917,"volume":2919},{"VOID":2916},"3",{"VOID":2918},"155-199",{"VOID":2920},"49",723,{"total":2921,"publishYear":2923,"statisticByYear":2924},1996,{"2012":859,"2013":853,"2014":2693,"2015":2925,"2016":859,"2017":851,"2018":2692,"2019":2926,"2020":2805,"2021":2806,"2022":857,"2023":857,"2024":183},35,25,"1996-03-01",[61,82],[],{"id":2931,"createTime":2932,"updateTime":2932,"relativeEntities":2933,"slug":2934,"properties":2935,"entityType":107,"verifyStatus":108,"verifyTime":2946,"verifyNote":109,"languages":2947,"translateLanguages":24,"viewCount":25,"primaryUrl":2948,"fullTextUrl":24,"authors":2949,"publicationType":131,"publisherRelationship":2984,"citationCount":3029,"citationInfo":3030,"publishDate":3032,"publishYear":2584,"citationAnalyzeStatus":23,"lastCitationAnalyze":24,"indexDatabases":3033,"openAccess":24,"references":3034,"isForceReanalyzing":760},"29c11616-94d8-4f37-aded-6599024beee2","2024-11-26T06:37:30.130+00:00",[],"Acoustic-Resonance-Scattering-by-Submerged-Elastic-Shells",{"openalex":2936,"mag":2938,"abstract":2940,"title":2942,"doi":2944},{"VOID":2937},"W2169407806",{"VOID":2939},"2169407806",{"EN":2941},"\u003Cjats:p>We review a number of instances in which classical acoustic wave scattering from submerged elastic shells can be analyzed in the resonance region of their spectra. We recently reviewed (Refs 42, 43, 12) the cases dealing with acoustic resonance scattering from solid elastic bodies, or with elastic resonance scattering from fluid or solid inclusions in elastic media. It only remains for us to address the works dealing with submerged shells, which we analyze here. We study scattering by bare or viscoelastically coated spherical and cylindrical shells in water, by means of (exact) normal-mode solutions, and by spheroidal shells by numerical approaches, particularly via the T-matrix method. We consider the shell responses mostly in unbounded media and when the interrogating waves are plane and c.w., although some recent findings valid for pulsed incidences and in the vicinity of environmental boundaries are also included. We use the methodology of the resonance scattering theory (RST) as much as possible, emphasizing its post-1981 results. High-frequency findings, obtained by asymptotic methods, are extrapolated to lower frequencies, to confirm RST predictions for the intermediate spectral regions in which the most important structural resonances are known to reside. A large number of bibliographical entries are collected and discussed in connection with our approach.\u003C\u002Fjats:p>",{"EN":2943},"Acoustic Resonance Scattering by Submerged Elastic Shells",{"VOID":2945},"10.1115\u002F1.3119168","2024-11-26T06:37:30.129+00:00",[111],"https:\u002F\u002Fasmedigitalcollection.asme.org\u002Fappliedmechanicsreviews\u002Farticle\u002F43\u002F8\u002F171\u002F399471\u002FAcoustic-Resonance-Scattering-by-Submerged-Elastic",[2950,2967],{"id":2951,"sortIndex":25,"researcher":24,"roles":2952,"affiliations":2953,"properties":2962,"displayName":2964,"givenName":24,"familyName":24},"a19e4e63-0864-4e1a-96d5-f611ecc35239",[],[2954],{"id":2955,"sortIndex":25,"affiliation":2956,"properties":24},"abf5880f-deac-4514-bb22-2d916d22cd7b",{"id":2955,"createTime":24,"updateTime":24,"relativeEntities":2957,"slug":24,"properties":2958,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2961,"statistic":24},[],{"title":2959},{"EN":2960},"Naval Surface Warfare Center, White Oak Laboratory (R42), Silver Spring, MD 20903-5000",[],{"title":2963,"openalex":2965},{"EN":2964},"G. C. Gaunaurd",{"VOID":2966},"A5109208225",{"id":2968,"sortIndex":950,"researcher":24,"roles":2969,"affiliations":2970,"properties":2979,"displayName":2981,"givenName":24,"familyName":24},"c37eac7d-f025-4fe2-be21-9cd12075e860",[],[2971],{"id":2972,"sortIndex":25,"affiliation":2973,"properties":24},"194ada16-b9f9-4ee1-9666-cc7f1b4e2d19",{"id":2972,"createTime":24,"updateTime":24,"relativeEntities":2974,"slug":24,"properties":2975,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":2978,"statistic":24},[],{"title":2976},{"EN":2977},"Naval Ocean and Atmospheric Research Laboratory, Numerical Modeling Division (221), NSTL Station MS 39529-5004",[],{"title":2980,"openalex":2982},{"EN":2981},"M. F. Werby",{"VOID":2983},"A5111846924",{"url":24,"publisher":2985,"properties":3023},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":2986,"slug":10,"properties":2987,"entityType":22,"verifyStatus":23,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":25,"subjectFields":2992,"manageAffiliations":2997,"indexDatabases":3008,"url":83,"thumbnailPath":24,"statistic":24,"gsStatistic":24,"type":24,"analyzePriority":24},[],{"country":2988,"eissn":2989,"issn":2990,"title":2991},{"VOID":13},{"VOID":15},{"VOID":17},{"EN":19},[2993],{"id":28,"createTime":24,"updateTime":24,"relativeEntities":2994,"label":2995,"description":2996,"parentId":24,"standard":24,"scholarHubFieldId":24},[],{"EN":31},{},[2998,3003],{"id":35,"createTime":24,"updateTime":24,"relativeEntities":2999,"slug":24,"properties":3000,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":3002,"statistic":24},[],{"title":3001},{"EN":39},[],{"id":42,"createTime":24,"updateTime":24,"relativeEntities":3004,"slug":24,"properties":3005,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":3007,"statistic":24},[],{"title":3006},{"EN":46},[],[3009,3016],{"id":50,"indexDatabase":3010,"url":63,"indexYears":24,"academicFieldIds":3015,"indexDatabaseRanking":24},{"id":52,"createTime":24,"updateTime":24,"relativeEntities":3011,"label":3012,"description":3013,"key":59,"publicationTags":3014,"standard":24},[],{"EN":55,"VI":55},{"EN":57,"VI":58},[61,62],[65],{"id":67,"indexDatabase":3017,"url":78,"indexYears":79,"academicFieldIds":3022,"indexDatabaseRanking":82},{"id":69,"createTime":24,"updateTime":24,"relativeEntities":3018,"label":3019,"description":3020,"key":75,"publicationTags":3021,"standard":24},[],{"EN":72,"VI":72},{"EN":72,"VI":74},[77],[81],{"issue":3024,"pages":3026,"volume":3028},{"VOID":3025},"8",{"VOID":3027},"171-208",{"VOID":2581},66,{"total":3029,"publishYear":2584,"statisticByYear":3031},{"2012":950,"2013":182,"2015":188,"2016":1224,"2017":950,"2018":950,"2019":1224,"2020":950,"2021":188,"2022":1224,"2023":1224,"2024":182},"1990-08-01",[61,82],[],{"id":3036,"createTime":3037,"updateTime":3037,"relativeEntities":3038,"slug":3039,"properties":3040,"entityType":107,"verifyStatus":108,"verifyTime":3037,"verifyNote":109,"languages":3051,"translateLanguages":24,"viewCount":25,"primaryUrl":3052,"fullTextUrl":24,"authors":3053,"publicationType":131,"publisherRelationship":3073,"citationCount":3118,"citationInfo":3119,"publishDate":3126,"publishYear":3120,"citationAnalyzeStatus":23,"lastCitationAnalyze":24,"indexDatabases":3127,"openAccess":24,"references":3128,"isForceReanalyzing":760},"6ca0484e-da83-494a-9068-6219022cb9c4","2024-11-25T17:47:46.574+00:00",[],"Effective-Elastic-Properties-of-Cracked-Solids-Critical-Review-of-Some-Basic-Concepts",{"openalex":3041,"mag":3043,"abstract":3045,"title":3047,"doi":3049},{"VOID":3042},"W2057126641",{"VOID":3044},"2057126641",{"EN":3046},"\u003Cjats:p>The problem of effective moduli of cracked solids is critically reviewed. Various approaches to the problem are discussed; they are further assessed by comparing their predictions to results for sample deterministic arrays. These computer experiments indicate that the approximation of non-interacting cracks has a wider than expected range of applicability. Some of the deficiencies of various approximate schemes seem to be related to inadequacy of the conventionally used crack density parameter (insensitive to mutual positions of cracks). An alternative parameter that has this sensitivity, is suggested. Finally, the problem of effective moduli is discussed in the context of “damage mechanics”. It is argued that, contrary to the spirit of many damage models, there is no direct quantitative correlation between progression of a microcracking solid towards fracture and deterioration of its stiffness; thus, the effective moduli may not always serve as a reliable indicator of damage.\u003C\u002Fjats:p>",{"EN":3048},"Effective Elastic Properties of Cracked Solids: Critical Review of Some Basic Concepts",{"VOID":3050},"10.1115\u002F1.3119761",[111],"https:\u002F\u002Fasmedigitalcollection.asme.org\u002Fappliedmechanicsreviews\u002Farticle\u002F45\u002F8\u002F304\u002F421514\u002FEffective-Elastic-Properties-of-Cracked-Solids",[3054],{"id":3055,"sortIndex":25,"researcher":24,"roles":3056,"affiliations":3057,"properties":3066,"displayName":3070,"givenName":24,"familyName":24},"cfb1301f-60ae-406a-8f4f-21999c1da6d9",[],[3058],{"id":3059,"sortIndex":25,"affiliation":3060,"properties":24},"1806c2ca-ffdb-40d8-801f-db3b5a367fc0",{"id":3059,"createTime":24,"updateTime":24,"relativeEntities":3061,"slug":24,"properties":3062,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":3065,"statistic":24},[],{"title":3063},{"EN":3064},"Department of Mechanical Engineering , Tufts University , Medford , MA , 02155",[],{"orcid":3067,"title":3069,"openalex":3071},{"VOID":3068},"https:\u002F\u002Forcid.org\u002F0000-0002-6354-0341",{"EN":3070},"Mark Kachanov",{"VOID":3072},"A5077963699",{"url":24,"publisher":3074,"properties":3112},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":3075,"slug":10,"properties":3076,"entityType":22,"verifyStatus":23,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":25,"subjectFields":3081,"manageAffiliations":3086,"indexDatabases":3097,"url":83,"thumbnailPath":24,"statistic":24,"gsStatistic":24,"type":24,"analyzePriority":24},[],{"country":3077,"eissn":3078,"issn":3079,"title":3080},{"VOID":13},{"VOID":15},{"VOID":17},{"EN":19},[3082],{"id":28,"createTime":24,"updateTime":24,"relativeEntities":3083,"label":3084,"description":3085,"parentId":24,"standard":24,"scholarHubFieldId":24},[],{"EN":31},{},[3087,3092],{"id":35,"createTime":24,"updateTime":24,"relativeEntities":3088,"slug":24,"properties":3089,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":3091,"statistic":24},[],{"title":3090},{"EN":39},[],{"id":42,"createTime":24,"updateTime":24,"relativeEntities":3093,"slug":24,"properties":3094,"entityType":24,"verifyStatus":24,"verifyTime":24,"verifyNote":24,"languages":24,"translateLanguages":24,"viewCount":24,"url":24,"parentIds":3096,"statistic":24},[],{"title":3095},{"EN":46},[],[3098,3105],{"id":50,"indexDatabase":3099,"url":63,"indexYears":24,"academicFieldIds":3104,"indexDatabaseRanking":24},{"id":52,"createTime":24,"updateTime":24,"relativeEntities":3100,"label":3101,"description":3102,"key":59,"publicationTags":3103,"standard":24},[],{"EN":55,"VI":55},{"EN":57,"VI":58},[61,62],[65],{"id":67,"indexDatabase":3106,"url":78,"indexYears":79,"academicFieldIds":3111,"indexDatabaseRanking":82},{"id":69,"createTime":24,"updateTime":24,"relativeEntities":3107,"label":3108,"description":3109,"key":75,"publicationTags":3110,"standard":24},[],{"EN":72,"VI":72},{"EN":72,"VI":74},[77],[81],{"issue":3113,"pages":3114,"volume":3116},{"VOID":3025},{"VOID":3115},"304-335",{"VOID":3117},"45",816,{"total":3118,"publishYear":3120,"statisticByYear":3121},1992,{"2012":1220,"2013":2691,"2014":2691,"2015":2806,"2016":2805,"2017":3122,"2018":2926,"2019":3123,"2020":3124,"2021":3125,"2022":852,"2023":853,"2024":2692},42,40,50,44,"1992-08-01",[61,82],[]]