[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"_public_publisher_byId_3a3ce7b7-e684-4936-8bf1-3d27309ff84f":3,"_public_publication_all{\"sortAscending\":false,\"sortField\":\"updateTime\",\"page\":0,\"size\":10,\"facet\":true,\"searchKey\":\"publisherId:3a3ce7b7-e684-4936-8bf1-3d27309ff84f,\"}":93},{"code":4,"data":5,"meta":18},"SUCCESS",{"id":6,"createTime":7,"updateTime":8,"relativeEntities":9,"slug":10,"properties":11,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":20,"manageAffiliations":39,"indexDatabases":54,"url":18,"thumbnailPath":18,"statistic":18,"gsStatistic":18,"type":18,"analyzePriority":18},"3a3ce7b7-e684-4936-8bf1-3d27309ff84f","2023-12-05T05:14:34.990+00:00","2025-11-21T09:59:31.568+00:00",[],"Journal-of-the-Mechanics-and-Physics-of-Solids",{"issn":12,"title":14},{"VOID":13},"00225096",{"EN":15},"Journal of the Mechanics and Physics of Solids","PUBLISHER","PENDING",null,0,[21,27,33],{"id":22,"createTime":18,"updateTime":18,"relativeEntities":23,"label":24,"description":26,"parentId":18,"standard":18,"scholarHubFieldId":18},"92b6979a-8d2f-4ae3-b057-43b6e548593e",[],{"EN":25},"Condensed Matter Physics",{},{"id":28,"createTime":18,"updateTime":18,"relativeEntities":29,"label":30,"description":32,"parentId":18,"standard":18,"scholarHubFieldId":18},"5587dea8-ebb6-4a42-8493-b6dd63ea819a",[],{"EN":31},"Mechanical Engineering",{},{"id":34,"createTime":18,"updateTime":18,"relativeEntities":35,"label":36,"description":38,"parentId":18,"standard":18,"scholarHubFieldId":18},"d814c312-0062-46bd-9e15-ca5c31c2d5a3",[],{"EN":37},"Mechanics of Materials",{},[40,47],{"id":41,"createTime":18,"updateTime":18,"relativeEntities":42,"slug":18,"properties":43,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":46,"statistic":18},"4255270c-c84d-4cec-8432-a117a0ce9d06",[],{"title":44},{"EN":45},"PERGAMON-ELSEVIER SCIENCE LTD",[],{"id":48,"createTime":18,"updateTime":18,"relativeEntities":49,"slug":18,"properties":50,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":53,"statistic":18},"cbc888ff-f0a8-49ab-90e6-8acb752d4f88",[],{"title":51},{"EN":52},"Elsevier Ltd.",[],[55,74],{"id":56,"indexDatabase":57,"url":69,"indexYears":18,"academicFieldIds":70,"indexDatabaseRanking":18},"a2af9146-0500-434d-b012-fa4e073e1895",{"id":58,"createTime":18,"updateTime":18,"relativeEntities":59,"label":60,"description":62,"key":65,"publicationTags":66,"standard":18},"a4921856-b128-4d9f-8f1f-e80813d3bbd4",[],{"EN":61,"VI":61},"ISI\u002FSCIE - Science Citation Index Expanded",{"EN":63,"VI":64},"SCIE database","Cơ sở dữ liệu SCIE","scie",[67,68],"SCIE","ISI","https:\u002F\u002Fmjl.clarivate.com\u002Fsearch-results?issn=0022-5096",[71,72,73],"0db73426-2364-455f-81a4-efe0f91d712e","8664ba15-34fc-4398-9bcb-b25d957a0827","46396ac9-b7d4-4e58-b7a0-4abfca2701a0",{"id":75,"indexDatabase":76,"url":86,"indexYears":87,"academicFieldIds":88,"indexDatabaseRanking":92},"55d9bb40-36bd-4937-96ce-d688bc874a8c",{"id":77,"createTime":18,"updateTime":18,"relativeEntities":78,"label":79,"description":81,"key":83,"publicationTags":84,"standard":18},"3c7051d4-eb7d-4c57-a56b-36fc74c5d1e9",[],{"EN":80,"VI":80},"Scopus - Elsevier",{"EN":80,"VI":82},"Cơ sở dữ liệu Scopus thuộc Elsevier","scopus",[85],"SCOPUS","https:\u002F\u002Fwww.scopus.com\u002Fsourceid\u002F14428","1952-2025",[89,90,91],"71c20870-549f-47ca-ab5d-72466dbb5bc3","65de7142-f2d8-490a-83cb-10f777c77259","9d2ac5e3-41a0-4e3f-9001-acfb87e489bc","SCOPUS__Q1",{"meta":94,"data":96},{"total":95},"3065",[97,272,834,942,1044,1161,1249,1335,1446,1535],{"id":98,"createTime":99,"updateTime":100,"relativeEntities":101,"slug":102,"properties":103,"entityType":110,"verifyStatus":111,"verifyTime":112,"verifyNote":113,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":114,"fullTextUrl":18,"authors":115,"publicationType":213,"publisherRelationship":214,"citationCount":19,"citationInfo":264,"publishDate":267,"publishYear":265,"citationAnalyzeStatus":268,"lastCitationAnalyze":269,"indexDatabases":270,"openAccess":18,"references":18,"isForceReanalyzing":271},"11d80e41-50d1-44be-8138-afaea0976bf6","2024-01-27T05:07:57.566+00:00","2026-07-31T06:42:44.030+00:00",[],"Stiffness-threshold-of-randomly-distributed-carbon-nanotube-networks",{"title":104,"gsPaper":106,"doi":108},{"EN":105},"Stiffness threshold of randomly distributed carbon nanotube networks",{"VOID":107},"[\"9493455306585604354\"]",{"VOID":109},"10.1016\u002Fj.jmps.2015.07.016","PUBLICATION","VERIFIED","2024-06-24T19:39:10.261+00:00","Auto Verify","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0022509615300429",[116,143,158,179,197],{"id":117,"sortIndex":19,"researcher":18,"roles":118,"affiliations":120,"properties":138},"33cdaa8e-3d8e-4e30-9605-6d7e639c93c1",[119],"AUTHOR",[121,129],{"id":122,"sortIndex":19,"affiliation":123,"properties":18},"1d936388-e2fb-435f-840c-a042c4fe3b66",{"id":122,"createTime":18,"updateTime":18,"relativeEntities":124,"slug":18,"properties":125,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":128,"statistic":18},[],{"title":126},{"VI":127},"Institute of Solid Mechanics, Beihang University (BUAA), Beijing 100191, PR China",[],{"id":130,"sortIndex":131,"affiliation":132,"properties":18},"e02b924e-bbed-4bc7-a899-c26619833989",1,{"id":130,"createTime":18,"updateTime":18,"relativeEntities":133,"slug":18,"properties":134,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":137,"statistic":18},[],{"title":135},{"VI":136},"International Research Institute for Multidisciplinary Science, Beihang University (BUAA), Beijing 100191, PR China",[],{"title":139,"gsAuthor":141},{"VI":140},"Yuli Chen",{"VOID":142},"[\"DmGNFNIAAAAJ\"]",{"id":144,"sortIndex":131,"researcher":18,"roles":145,"affiliations":146,"properties":153},"914dd1d0-f49e-466e-996d-a0a0a488d37a",[119],[147],{"id":122,"sortIndex":19,"affiliation":148,"properties":18},{"id":122,"createTime":18,"updateTime":18,"relativeEntities":149,"slug":18,"properties":150,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":152,"statistic":18},[],{"title":151},{"VI":127},[],{"title":154,"gsAuthor":156},{"VI":155},"Fei Pan",{"VOID":157},"[\"1BUB6y0AAAAJ\"]",{"id":159,"sortIndex":160,"researcher":18,"roles":161,"affiliations":162,"properties":176},"02da1719-c8c7-4034-b329-e56eb13bdde7",2,[119],[163,169],{"id":122,"sortIndex":19,"affiliation":164,"properties":18},{"id":122,"createTime":18,"updateTime":18,"relativeEntities":165,"slug":18,"properties":166,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":168,"statistic":18},[],{"title":167},{"VI":127},[],{"id":130,"sortIndex":131,"affiliation":170,"properties":175},{"id":130,"createTime":18,"updateTime":18,"relativeEntities":171,"slug":18,"properties":172,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":174,"statistic":18},[],{"title":173},{"VI":136},[],{},{"title":177},{"VI":178},"Zaoyang Guo",{"id":180,"sortIndex":181,"researcher":18,"roles":182,"affiliations":183,"properties":192},"06e28715-0119-49e8-a677-ce7f45b86f8b",3,[119],[184],{"id":185,"sortIndex":19,"affiliation":186,"properties":18},"37298059-53e3-4e4f-bd64-c5e6b02b4d3b",{"id":185,"createTime":18,"updateTime":18,"relativeEntities":187,"slug":18,"properties":188,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":191,"statistic":18},[],{"title":189},{"VI":190},"AML, CNMM, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, PR China",[],{"title":193,"gsAuthor":195},{"VI":194},"Bin Liu",{"VOID":196},"[\"MHGupVkAAAAJ\"]",{"id":198,"sortIndex":199,"researcher":18,"roles":200,"affiliations":201,"properties":210},"4a0889d3-94ae-42e8-8dcd-c22080f13f29",4,[119],[202],{"id":203,"sortIndex":19,"affiliation":204,"properties":18},"cb3db731-ce83-4020-84cc-f732f66cb983",{"id":203,"createTime":18,"updateTime":18,"relativeEntities":205,"slug":18,"properties":206,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":209,"statistic":18},[],{"title":207},{"VI":208},"College of Aerospace Engineering, Chongqing University, Chongqing, 400044, PR China",[],{"title":211},{"VI":212},"Jianyu Zhang","ARTICLE",{"url":114,"publisher":215,"properties":259},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":216,"slug":10,"properties":217,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":220,"manageAffiliations":233,"indexDatabases":244,"url":18,"thumbnailPath":18,"statistic":18,"gsStatistic":18,"type":18,"analyzePriority":18},[],{"issn":218,"title":219},{"VOID":13},{"EN":15},[221,225,229],{"id":22,"createTime":18,"updateTime":18,"relativeEntities":222,"label":223,"description":224,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":25},{},{"id":28,"createTime":18,"updateTime":18,"relativeEntities":226,"label":227,"description":228,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":31},{},{"id":34,"createTime":18,"updateTime":18,"relativeEntities":230,"label":231,"description":232,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":37},{},[234,239],{"id":41,"createTime":18,"updateTime":18,"relativeEntities":235,"slug":18,"properties":236,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":238,"statistic":18},[],{"title":237},{"EN":45},[],{"id":48,"createTime":18,"updateTime":18,"relativeEntities":240,"slug":18,"properties":241,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":243,"statistic":18},[],{"title":242},{"EN":52},[],[245,252],{"id":56,"indexDatabase":246,"url":69,"indexYears":18,"academicFieldIds":251,"indexDatabaseRanking":18},{"id":58,"createTime":18,"updateTime":18,"relativeEntities":247,"label":248,"description":249,"key":65,"publicationTags":250,"standard":18},[],{"EN":61,"VI":61},{"EN":63,"VI":64},[67,68],[71,72,73],{"id":75,"indexDatabase":253,"url":86,"indexYears":87,"academicFieldIds":258,"indexDatabaseRanking":92},{"id":77,"createTime":18,"updateTime":18,"relativeEntities":254,"label":255,"description":256,"key":83,"publicationTags":257,"standard":18},[],{"EN":80,"VI":80},{"EN":80,"VI":82},[85],[89,90,91],{"pages":260,"volume":262},{"VOID":261},"395-423",{"VOID":263},"84",{"total":19,"publishYear":265,"statisticByYear":266},2015,{},"2015-11-01","ERROR_IN_ANALYZE_CITATION","2026-07-31T06:42:44.029+00:00",[67,92],false,{"id":273,"createTime":274,"updateTime":275,"relativeEntities":276,"slug":277,"properties":278,"entityType":110,"verifyStatus":111,"verifyTime":285,"verifyNote":113,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":286,"fullTextUrl":18,"authors":287,"publicationType":213,"publisherRelationship":318,"citationCount":368,"citationInfo":369,"publishDate":376,"publishYear":265,"citationAnalyzeStatus":377,"lastCitationAnalyze":378,"indexDatabases":379,"openAccess":18,"references":380,"isForceReanalyzing":271},"0019ccb8-9280-48f2-8037-1d1bcaef2ba8","2024-01-16T22:30:36.432+00:00","2026-07-28T23:17:33.894+00:00",[],"Investigations-into-crazing-in-glassy-amorphous-polymers-through-molecular-dynamics-simulations",{"title":279,"gsPaper":281,"doi":283},{"EN":280},"Investigations into crazing in glassy amorphous polymers through molecular dynamics simulations",{"VOID":282},"[\"10912082988763358236\"]",{"VOID":284},"10.1016\u002Fj.jmps.2015.01.005","2024-05-02T10:42:49.758+00:00","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0022509615000149",[288,303],{"id":289,"sortIndex":19,"researcher":18,"roles":290,"affiliations":291,"properties":300},"99d81865-f53a-4f6d-abcd-d21a0466393d",[119],[292],{"id":293,"sortIndex":19,"affiliation":294,"properties":18},"660237ba-f889-4be2-bc2e-3d0be63cdff0",{"id":293,"createTime":18,"updateTime":18,"relativeEntities":295,"slug":18,"properties":296,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":299,"statistic":18},[],{"title":297},{"VI":298},"Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur 208016, Uttar Pradesh, India",[],{"title":301},{"VI":302},"Sudarkodi Venkatesan",{"id":304,"sortIndex":131,"researcher":18,"roles":305,"affiliations":306,"properties":313},"8c9d5243-182c-4004-ad95-aa4b69aa4dbe",[119],[307],{"id":293,"sortIndex":19,"affiliation":308,"properties":18},{"id":293,"createTime":18,"updateTime":18,"relativeEntities":309,"slug":18,"properties":310,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":312,"statistic":18},[],{"title":311},{"VI":298},[],{"title":314,"gsAuthor":316},{"VI":315},"Sumit Basu",{"VOID":317},"[\"bWWPNVQAAAAJ\"]",{"url":286,"publisher":319,"properties":363},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":320,"slug":10,"properties":321,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":324,"manageAffiliations":337,"indexDatabases":348,"url":18,"thumbnailPath":18,"statistic":18,"gsStatistic":18,"type":18,"analyzePriority":18},[],{"issn":322,"title":323},{"VOID":13},{"EN":15},[325,329,333],{"id":22,"createTime":18,"updateTime":18,"relativeEntities":326,"label":327,"description":328,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":25},{},{"id":28,"createTime":18,"updateTime":18,"relativeEntities":330,"label":331,"description":332,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":31},{},{"id":34,"createTime":18,"updateTime":18,"relativeEntities":334,"label":335,"description":336,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":37},{},[338,343],{"id":41,"createTime":18,"updateTime":18,"relativeEntities":339,"slug":18,"properties":340,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":342,"statistic":18},[],{"title":341},{"EN":45},[],{"id":48,"createTime":18,"updateTime":18,"relativeEntities":344,"slug":18,"properties":345,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":347,"statistic":18},[],{"title":346},{"EN":52},[],[349,356],{"id":56,"indexDatabase":350,"url":69,"indexYears":18,"academicFieldIds":355,"indexDatabaseRanking":18},{"id":58,"createTime":18,"updateTime":18,"relativeEntities":351,"label":352,"description":353,"key":65,"publicationTags":354,"standard":18},[],{"EN":61,"VI":61},{"EN":63,"VI":64},[67,68],[71,72,73],{"id":75,"indexDatabase":357,"url":86,"indexYears":87,"academicFieldIds":362,"indexDatabaseRanking":92},{"id":77,"createTime":18,"updateTime":18,"relativeEntities":358,"label":359,"description":360,"key":83,"publicationTags":361,"standard":18},[],{"EN":80,"VI":80},{"EN":80,"VI":82},[85],[89,90,91],{"pages":364,"volume":366},{"VOID":365},"123-145",{"VOID":367},"77",64,{"total":368,"publishYear":265,"statisticByYear":370},{"2016":160,"2017":371,"2018":181,"2019":181,"2020":372,"2021":373,"2022":199,"2023":374,"2024":375,"2025":372,"2026":199},6,7,5,8,14,"2015-04-01","DONE_ANALYZE_CITATION","2026-07-28T23:17:33.892+00:00",[67,92],[381,384,390,397,403,409,416,423,429,434,441,448,455,463,470,477,484,490,494,497,500,506,513,520,523,529,537,544,551,557,562,569,575,578,582,589,592,595,602,609,613,620,627,633,640,647,654,657,660,663,667,670,674,681,688,695,702,709,716,723,730,738,745,752,759,765,771,778,781,785,790,797,804,811,817,824,827],{"id":18,"text":382,"url":18,"identifiers":383},"Adams, 1994",{},{"id":385,"text":386,"url":387,"identifiers":388},"d47dcd65-b664-4619-9d4c-f52dc2e93b38","Admal, 2010, A unified interpretation of stress in molecular systems, J. Elast., 100, 63, 10.1007\u002Fs10659-010-9249-6","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs10659-010-9249-6",{"doi":389},"10.1007\u002Fs10659-010-9249-6",{"id":18,"text":391,"url":392,"identifiers":393},"Alkorta, 2006, The carbon–carbon bond dissociation energy as a function of the chain length, Chem. Phys. Lett., 425, 221, 10.1016\u002Fj.cplett.2006.05.050","https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.cplett.2006.05.050",{"mag":394,"openalex":395,"doi":396},"2083126340","W2083126340","10.1016\u002Fj.cplett.2006.05.050",{"id":398,"text":399,"url":400,"identifiers":401},"193e847e-f889-4a5a-b4d1-42e4065133b6","Argon, 2011, Craze initiation in glassy polymers—revisited, Polymer, 52, 2319, 10.1016\u002Fj.polymer.2011.03.019","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0032386111002096",{"doi":402},"10.1016\u002Fj.polymer.2011.03.019",{"id":404,"text":405,"url":406,"identifiers":407},"8141dd8e-854d-4d8c-88b0-82a1688de269","Argon, 1976, The mechanism of fracture in glassy materials capable of some inelastic deformation, Mater. Sci. Eng., 23, 219, 10.1016\u002F0025-5416(76)90198-1","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002F0025541676901981",{"doi":408},"10.1016\u002F0025-5416(76)90198-1",{"id":18,"text":410,"url":411,"identifiers":412},"Argon, 1977, Initiation of crazes in polystyrene, Philos. Mag., 36, 1195, 10.1080\u002F14786437708239789","https:\u002F\u002Fdoi.org\u002F10.1080\u002F14786437708239789",{"mag":413,"openalex":414,"doi":415},"2054574732","W2054574732","10.1080\u002F14786437708239789",{"id":18,"text":417,"url":418,"identifiers":419},"Auhl, 2003, Equilibration of long chain polymer melts in computer simulations, J. Chem. Phys., 119, 12718, 10.1063\u002F1.1628670","https:\u002F\u002Fdoi.org\u002F10.1063\u002F1.1628670",{"mag":420,"openalex":421,"doi":422},"2062618849","W2062618849","10.1063\u002F1.1628670",{"id":424,"text":425,"url":426,"identifiers":427},"4c68646b-0035-4279-8000-0006b275d4fa","Ball, 1989, Dynamic dilution and the viscoelasticity of star-polymer melts, Macromolecules, 22, 1911","https:\u002F\u002Flink.springer.com\u002F10.1007\u002Fs10440-022-00541-7",{"doi":428},"10.1007\u002Fs10440-022-00541-7",{"id":18,"text":430,"url":431,"identifiers":432},"Basu, 2002, A thermo-mechanical study of Mode-I, smallscale yielding crack-tip fields in glassy polymers, Int. J. Plast., 18, 1395, 10.1016\u002FS0749-6419(02)00009-8","http:\u002F\u002Fdx.doi.org\u002F10.1016\u002Fs0749-6419(02)00009-8",{"doi":433},"10.1016\u002Fs0749-6419(02)00009-8",{"id":18,"text":435,"url":436,"identifiers":437},"Basu, 2005, Micromechanics of the growth of a craze fibril in glassy polymers, Polymer, 46, 7504, 10.1016\u002Fj.polymer.2005.05.148","https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.polymer.2005.05.148",{"mag":438,"openalex":439,"doi":440},"2031913130","W2031913130","10.1016\u002Fj.polymer.2005.05.148",{"id":18,"text":442,"url":443,"identifiers":444},"Berger, 1990, On the mechanism of craze fibril breakdown in glassy polymers, Macromolecules, 23, 2926, 10.1021\u002Fma00213a019","https:\u002F\u002Fdoi.org\u002F10.1021\u002Fma00213a019",{"mag":445,"openalex":446,"doi":447},"1984711058","W1984711058","10.1021\u002Fma00213a019",{"id":18,"text":449,"url":450,"identifiers":451},"Bucknall, 2007, New criterion for craze initiation, Polymer, 48, 1030, 10.1016\u002Fj.polymer.2006.12.033","https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.polymer.2006.12.033",{"mag":452,"openalex":453,"doi":454},"2008976174","W2008976174","10.1016\u002Fj.polymer.2006.12.033",{"id":18,"text":456,"url":457,"identifiers":458},"Curco, 2007, Coarse-graining: a procedure to generate equilibrated and relaxed models of amorphous polymers, J. Comput. Chem., 28, 1929, 10.1002\u002Fjcc.20723","https:\u002F\u002Fdoi.org\u002F10.1002\u002Fjcc.20723",{"mag":459,"openalex":460,"pm":461,"doi":462},"2094080097","W2094080097","17450565","10.1002\u002Fjcc.20723",{"id":18,"text":464,"url":465,"identifiers":466},"Cangialosi, 2005, Relaxation of free volume in polycarbonate and polystyrene studied by positron annihilation lifetime spectroscopy, Acta Phys. Pol. A, 107, 690, 10.12693\u002FAPhysPolA.107.690","https:\u002F\u002Fdoi.org\u002F10.12693\u002Faphyspola.107.690",{"mag":467,"openalex":468,"doi":469},"2105307180","W2105307180","10.12693\u002Faphyspola.107.690",{"id":18,"text":471,"url":472,"identifiers":473},"Chen, 2000, A configurational-bias approach for the simulation of inner sections of linear and cyclic molecules, J. Chem. Phys., 113, 11382, 10.1063\u002F1.1328069","https:\u002F\u002Fdoi.org\u002F10.1063\u002F1.1328069",{"mag":474,"openalex":475,"doi":476},"2034728191","W2034728191","10.1063\u002F1.1328069",{"id":18,"text":478,"url":479,"identifiers":480},"de Focatiis, 2008, Roles of chain length, chain architecture and time in the initiation of visible crazes in polystyrene, Macromolecules, 41, 4484, 10.1021\u002Fma702157m","https:\u002F\u002Fdoi.org\u002F10.1021\u002Fma702157m",{"mag":481,"openalex":482,"doi":483},"2046357103","W2046357103","10.1021\u002Fma702157m",{"id":485,"text":486,"url":487,"identifiers":488},"f0befd88-4c1d-46fc-862f-6c67508c6035","Diao, 1994, The number of smallest knots on the cubic lattice, J. Stat. Phys., 74, 1247, 10.1007\u002FBF02188227","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002FBF02188227",{"doi":489},"10.1007\u002FBF02188227",{"id":18,"text":491,"url":18,"identifiers":492},"Diao, 1995, The knotting of equilateral polygons in R3, J. Knot Theory Ramif., 4, 189, 10.1142\u002FS0218216595000090",{"doi":493},"10.1142\u002FS0218216595000090",{"id":18,"text":495,"url":18,"identifiers":496},"Doi, 1988",{},{"id":424,"text":498,"url":426,"identifiers":499},"Donald, 1982, Effects of molecular entanglements on craze microstructure in glassy polymers, J. Poly. Sci. Phys. Ed., 20, 889",{"doi":428},{"id":501,"text":502,"url":503,"identifiers":504},"d76abc34-18c0-4899-92f5-cd0e2819816f","Estevez, 2005, Analysis of temperature effects near Mode-I cracks in glassy polymers, Int. J. Fract., 132, 249, 10.1007\u002Fs10704-005-2182-1","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs10704-005-2182-1",{"doi":505},"10.1007\u002Fs10704-005-2182-1",{"id":18,"text":507,"url":508,"identifiers":509},"Estevez, 2000, Modeling of the competition between shear yielding and crazing in glassy polymers, J. Mech. Phys. Solids, 48, 2585, 10.1016\u002FS0022-5096(00)00016-8","https:\u002F\u002Fdoi.org\u002F10.1016\u002Fs0022-5096(00)00016-8",{"mag":510,"openalex":511,"doi":512},"2117792073","W2117792073","10.1016\u002Fs0022-5096(00)00016-8",{"id":18,"text":514,"url":515,"identifiers":516},"Evans, 1987, A scaling analysis of the fracture mechanisms in glassy polymers, J. Polym. Sci. Part B: Polym. Phys., 25, 10.1002\u002Fpolb.1987.090250208","https:\u002F\u002Fdoi.org\u002F10.1002\u002Fpolb.1987.090250208",{"mag":517,"openalex":518,"doi":519},"1981238639","W1981238639","10.1002\u002Fpolb.1987.090250208",{"id":424,"text":521,"url":426,"identifiers":522},"Fetters, 1994, Connection between polymer molecular weight, density, chain dimensions, and melt viscoelastic properties. Macromolecules, 27, 4639",{"doi":428},{"id":524,"text":525,"url":526,"identifiers":527},"4afc7b55-4e43-442d-8b3f-f408ea02527d","Flory, 1985, Molecular theory of rubber elasticity, Polym. J., 17, 1","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002F0032386179902684",{"doi":528},"10.1016\u002F0032-3861(79)90268-4",{"id":18,"text":530,"url":531,"identifiers":532},"Foteinopoulou, 2009, Structure, dimensions, and entanglement statistics of long linear polyethylene chains, J. Phys. Chem. B, 113, 442, 10.1021\u002Fjp808287s","https:\u002F\u002Fdoi.org\u002F10.1021\u002Fjp808287s",{"mag":533,"openalex":534,"pm":535,"doi":536},"1987464018","W1987464018","19086892","10.1021\u002Fjp808287s",{"id":18,"text":538,"url":539,"identifiers":540},"Fields, 1976, Finger-like crack growth in solids and liquids, Philos. Mag., 33, 33, 10.1080\u002F14786437608221089","https:\u002F\u002Fdoi.org\u002F10.1080\u002F14786437608221089",{"mag":541,"openalex":542,"doi":543},"2051750283","W2051750283","10.1080\u002F14786437608221089",{"id":18,"text":545,"url":546,"identifiers":547},"Fukuda, 1997, Molecular dynamics simulation of water diffusion in atactic and amorphous isotactic polypropylene, J. Chem. Phys., 107, 2149, 10.1063\u002F1.474564","https:\u002F\u002Fdoi.org\u002F10.1063\u002F1.475686",{"mag":548,"openalex":549,"doi":550},"2061975869","W2061975869","10.1063\u002F1.475686",{"id":552,"text":553,"url":554,"identifiers":555},"c85f2d80-4de2-418e-b503-4181dd5fa05f","Gearing, 2004, On modeling the deformation and fracture response of glassy polymers due to shear-yielding and crazing, Int. J. Solids Struct., 41, 3125, 10.1016\u002Fj.ijsolstr.2004.01.017","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0020768304000356",{"doi":556},"10.1016\u002Fj.ijsolstr.2004.01.017",{"id":18,"text":558,"url":559,"identifiers":560},"Graessley, 1980, Some phenomenological consequences of the Doi–Edwards theory of viscoelasticity of polymer liquids, J. Polym. Sci. Polym. Phys. Ed., 18, 27, 10.1002\u002Fpol.1980.180180103","http:\u002F\u002Fdx.doi.org\u002F10.1002\u002Fpolb.1996.950",{"doi":561},"10.1002\u002Fpolb.1996.950",{"id":18,"text":563,"url":564,"identifiers":565},"Ishikawa, 1977, Criterion for craze nucleation in polycarbonate, J. Polym. Sci. Polym. Phys. Ed., 15, 1791, 10.1002\u002Fpol.1977.180151009","https:\u002F\u002Fdoi.org\u002F10.1002\u002Fpol.1977.180151009",{"mag":566,"openalex":567,"doi":568},"2048134035","W2048134035","10.1002\u002Fpol.1977.180151009",{"id":570,"text":571,"url":572,"identifiers":573},"2f7f8624-b583-48b4-9407-839c7d273f36","Kattekola, 2013, Three dimensional finite element investigations into the effects of thickness and notch radius on the fracture toughness of polycarbonate, Int. J. Fract., 181, 1, 10.1007\u002Fs10704-013-9808-5","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs10704-013-9808-5",{"doi":574},"10.1007\u002Fs10704-013-9808-5",{"id":18,"text":576,"url":18,"identifiers":577},"Kausch, 1978",{},{"id":18,"text":579,"url":18,"identifiers":580},"Kimmich, 1993, J. Chem. Phys., 98, 5847, 10.1063\u002F1.464876",{"doi":581},"10.1063\u002F1.464876",{"id":18,"text":583,"url":584,"identifiers":585},"Kobayashi, 1994, Evaluation of polymer free volume by positron annihilation and gas diffusivity measurements, Polymer, 35, 925, 10.1016\u002F0032-3861(94)90934-2","https:\u002F\u002Fdoi.org\u002F10.1016\u002F0032-3861(94)90934-2",{"mag":586,"openalex":587,"doi":588},"2074571883","W2074571883","10.1016\u002F0032-3861(94)90934-2",{"id":18,"text":590,"url":18,"identifiers":591},"Kramer, 1979",{},{"id":424,"text":593,"url":426,"identifiers":594},"Kramer, 1983, Microscopic and molecular fundamentals of crazing, vol. 52–53, 1",{"doi":428},{"id":18,"text":596,"url":597,"identifiers":598},"Kramer, 1984, Craze fibril formation and breakdown, Polym. Eng. Sci., 24, 761, 10.1002\u002Fpen.760241006","https:\u002F\u002Fdoi.org\u002F10.1002\u002Fpen.760241006",{"mag":599,"openalex":600,"doi":601},"2061209749","W2061209749","10.1002\u002Fpen.760241006",{"id":18,"text":603,"url":604,"identifiers":605},"Kramer, 1990, Fundamental processes of craze growth and fracture, Adv. Polym. Sci., 91–92, 1, 10.1007\u002FBFb0018018","https:\u002F\u002Fdoi.org\u002F10.1007\u002Fbfb0018018",{"mag":606,"openalex":607,"doi":608},"154295003","W154295003","10.1007\u002Fbfb0018018",{"id":18,"text":610,"url":18,"identifiers":611},"Kremer, 1990, Dynamics of entangled linear polymer melts, J. Chem. Phys., 92, 5057, 10.1063\u002F1.458541",{"doi":612},"10.1063\u002F1.458541",{"id":18,"text":614,"url":615,"identifiers":616},"Kroger, 2005, Shortest multiple disconnected path for the analysis of entanglements in two and three dimensional polymer systems, Comput. Phys. Commun., 168, 209, 10.1016\u002Fj.cpc.2005.01.020","https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.cpc.2005.01.020",{"mag":617,"openalex":618,"doi":619},"2005942984","W2005942984","10.1016\u002Fj.cpc.2005.01.020",{"id":18,"text":621,"url":622,"identifiers":623},"Kulmi, 2006, A molecular dynamics study of the failure modes of a glassy polymer confined between rigid walls, Model. Simul. Mater. Sci. Eng., 14, 1071, 10.1088\u002F0965-0393\u002F14\u002F6\u002F013","https:\u002F\u002Fdoi.org\u002F10.1088\u002F0965-0393\u002F14\u002F6\u002F013",{"mag":624,"openalex":625,"doi":626},"2029660848","W2029660848","10.1088\u002F0965-0393\u002F14\u002F6\u002F013",{"id":628,"text":629,"url":630,"identifiers":631},"0903f5ff-2c30-473a-9dff-ba7df15ee869","Kuo, 1985, Geometrically necessary entanglement loss during crazing of polymers, J. Mater. Sci. Lett., 4, 459, 10.1007\u002FBF00719745","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002FBF00719745",{"doi":632},"10.1007\u002FBF00719745",{"id":634,"text":635,"url":636,"identifiers":637},"b4bebc34-8a91-4cf2-be4b-4d53af9ee458","Lai, 1997, A numerical study of crack-tip plasticity in glassy polymers, Mech. Mater., 25, 183, 10.1016\u002FS0167-6636(97)00006-9","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0167663697000069",{"pii":638,"doi":639},"S0167663697000069","10.1016\u002FS0167-6636(97)00006-9",{"id":18,"text":641,"url":642,"identifiers":643},"Lauterwasser, 1979, Microscopic mechanisms and mechanics of craze growth and fracture, Philos. Mag. A, 39, 469, 10.1080\u002F01418617908239285","https:\u002F\u002Fdoi.org\u002F10.1080\u002F01418617908239285",{"mag":644,"openalex":645,"doi":646},"1965682181","W1965682181","10.1080\u002F01418617908239285",{"id":18,"text":648,"url":649,"identifiers":650},"Leonov, 1991, A model of fibril deformation in crazes, J. Polym. Sci. Part B: Polym. Phys., 29, 197, 10.1002\u002Fpolb.1991.090290206","https:\u002F\u002Fdoi.org\u002F10.1002\u002Fpolb.1991.090290206",{"mag":651,"openalex":652,"doi":653},"2115429181","W2115429181","10.1002\u002Fpolb.1991.090290206",{"id":424,"text":655,"url":426,"identifiers":656},"Liu, 2000, Effect of local conformational transition on craze initiation in polyestercarbonates containing cyclohexylene linkages, Macromolecules, 33, 1338",{"doi":428},{"id":424,"text":658,"url":426,"identifiers":659},"MacQueen, J.B., 1967. Some Methods for classification and analysis of multivariate observations. In: Proceedings of 5-th Berkeley Symposium on Mathematical Statistics and Probability, Berkeley, University of California Press Oakland, California, U.S.A. vol. 1, pp. 281–297.",{"doi":428},{"id":18,"text":661,"url":18,"identifiers":662},"Magomedov, G., Kozlov, G.V., Zaikov, G.E., 2011. Structure and Properties of Crosslinked Polymers. iSmithers, Shropshire, United Kingdom",{},{"id":18,"text":664,"url":18,"identifiers":665},"Mahajan, 2010, On the simulation of uniaxial, compressive behavior of amorphous, glassy polymers with molecular dynamics, Int. J. Appl. Mech., 2, 515, 10.1142\u002FS1758825110000639",{"doi":666},"10.1142\u002FS1758825110000639",{"id":424,"text":668,"url":426,"identifiers":669},"Mahajan, 2010, Void nucleation and disentanglement in glassy amorphous polymers, Phys. Rev. E (Stat. Nonlinear Soft Matter Phys.), 82, 011803, 10.1103\u002FPhysRevE.82.011803",{"doi":428},{"id":18,"text":671,"url":18,"identifiers":672},"Makke, 2011, Predictors of cavitation in glassy polymers under tensile strain, Macromol. Theory Simul., 20, 826, 10.1002\u002Fmats.201100006",{"doi":673},"10.1002\u002Fmats.201100006",{"id":18,"text":675,"url":676,"identifiers":677},"McLeish, 2002, Tube theory of entangled polymer dynamics, Adv. Phys., 51, 1379, 10.1080\u002F00018730210153216","https:\u002F\u002Fdoi.org\u002F10.1080\u002F00018730210153216",{"mag":678,"openalex":679,"doi":680},"2084970328","W2084970328","10.1080\u002F00018730210153216",{"id":18,"text":682,"url":683,"identifiers":684},"Micheletti, 2011, Polymers with spatial or topological constraints: theoretical and computational results, Phys. Rep., 504, 1, 10.1016\u002Fj.physrep.2011.03.003","https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.physrep.2011.03.003",{"mag":685,"openalex":686,"doi":687},"3103568817","W3103568817","10.1016\u002Fj.physrep.2011.03.003",{"id":18,"text":689,"url":690,"identifiers":691},"Orlandini, 2007, Statistical topology of closed curves: some applications in polymer physics, Rev. Mod. Phys., 79, 611, 10.1103\u002FRevModPhys.79.611","https:\u002F\u002Fdoi.org\u002F10.1103\u002Frevmodphys.79.611",{"mag":692,"openalex":693,"doi":694},"1984447149","W1984447149","10.1103\u002Frevmodphys.79.611",{"id":18,"text":696,"url":697,"identifiers":698},"Oxborough, 1973, A general critical-strain criterion for crazing in amorphous glassy polymers, Philos. Mag., 28, 547, 10.1080\u002F14786437308221002","https:\u002F\u002Fdoi.org\u002F10.1080\u002F14786437308221002",{"mag":699,"openalex":700,"doi":701},"2088854226","W2088854226","10.1080\u002F14786437308221002",{"id":18,"text":703,"url":704,"identifiers":705},"Panagiotou, 2010, The linking number and the writhe of uniform random walks and polygons in confined spaces, J. Phys. A: Math. Theor., 43, 045208, 10.1088\u002F1751-8113\u002F43\u002F4\u002F045208","https:\u002F\u002Fdoi.org\u002F10.1088\u002F1751-8113\u002F43\u002F4\u002F045208",{"mag":706,"openalex":707,"doi":708},"3105607542","W3105607542","10.1088\u002F1751-8113\u002F43\u002F4\u002F045208",{"id":18,"text":710,"url":711,"identifiers":712},"Pant, 1995, Variable connectivity method for the atomistic Monte-Carlo simulation of polydisperse polymer melts, Macromolecules, 28, 7224, 10.1021\u002Fma00125a027","https:\u002F\u002Fdoi.org\u002F10.1021\u002Fma00125a027",{"mag":713,"openalex":714,"doi":715},"1999062034","W1999062034","10.1021\u002Fma00125a027",{"id":18,"text":717,"url":718,"identifiers":719},"Plummer, 1990, Disentanglement and crazing in glassy polymers, Macromolecules, 23, 3929, 10.1021\u002Fma00219a011","https:\u002F\u002Fdoi.org\u002F10.1021\u002Fma00219a011",{"mag":720,"openalex":721,"doi":722},"2040746688","W2040746688","10.1021\u002Fma00219a011",{"id":18,"text":724,"url":725,"identifiers":726},"Prentice, 1983, Influence of molecular weight on the fracture of poly(methyl methacrylate) (PMMA), Polymer, 24, 344, 10.1016\u002F0032-3861(83)90275-6","https:\u002F\u002Fdoi.org\u002F10.1016\u002F0032-3861(83)90275-6",{"mag":727,"openalex":728,"doi":729},"1988671390","W1988671390","10.1016\u002F0032-3861(83)90275-6",{"id":18,"text":731,"url":732,"identifiers":733},"Rottler, 2003, Growth, microstructure, and failure of crazes in glassy polymers, Phys. Rev. E Stat. Nonlinear Soft Matter Phys., 68, 10.1103\u002FPhysRevE.68.011801","https:\u002F\u002Fdoi.org\u002F10.1103\u002Fphysreve.68.011801",{"mag":734,"openalex":735,"pm":736,"doi":737},"2078724931","W2078724931","12935165","10.1103\u002Fphysreve.68.011801",{"id":18,"text":739,"url":740,"identifiers":741},"Rouse, 1953, A theory of the linear viscoelastic properties of dilute solutions of coiling polymers, J. Chem. Phys., 21, 1272, 10.1063\u002F1.1699180","https:\u002F\u002Fdoi.org\u002F10.1063\u002F1.1699180",{"mag":742,"openalex":743,"doi":744},"1995062017","W1995062017","10.1063\u002F1.1699180",{"id":18,"text":746,"url":747,"identifiers":748},"Rubinstein, 1985, Statistics of the entanglement of polymers: concentration effects, J. Chem. Phys., 82, 2477, 10.1063\u002F1.448293","https:\u002F\u002Fdoi.org\u002F10.1063\u002F1.448293",{"mag":749,"openalex":750,"doi":751},"2095023465","W2095023465","10.1063\u002F1.448293",{"id":18,"text":753,"url":754,"identifiers":755},"Shanbhag, 2006, Identification of topological constraints in entangled polymer melts using the bond-fluctuation model, Macromolecules, 39, 2413, 10.1021\u002Fma052317v","https:\u002F\u002Fdoi.org\u002F10.1021\u002Fma052317v",{"mag":756,"openalex":757,"doi":758},"2061486706","W2061486706","10.1021\u002Fma052317v",{"id":760,"text":761,"url":762,"identifiers":763},"d1f89350-52e5-48be-a7d9-38dcb51b68a4","Socrate, 2001, A micromechanical model for multiple crazing in high impact polystyrene, Mech. Mater., 33, 155, 10.1016\u002FS0167-6636(00)00068-5","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0167663600000685",{"doi":764},"10.1016\u002FS0167-6636(00)00068-5",{"id":766,"text":767,"url":768,"identifiers":769},"0d8b8707-5e7b-4ed3-9707-06a289d3d0e8","Sha, 1999, Simulation of craze failure in glassy polymer, J. Mater. Sci., 34, 3695, 10.1023\u002FA:1004607523161","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1023\u002FA:1004607523161",{"doi":770},"10.1023\u002FA:1004607523161",{"id":18,"text":772,"url":773,"identifiers":774},"Sumners, 1988, Knots in self-avoiding walks, J. Phys. A: Math. Gen., 21, 1689, 10.1088\u002F0305-4470\u002F21\u002F7\u002F030","https:\u002F\u002Fdoi.org\u002F10.1088\u002F0305-4470\u002F21\u002F7\u002F030",{"mag":775,"openalex":776,"doi":777},"1966853719","W1966853719","10.1088\u002F0305-4470\u002F21\u002F7\u002F030",{"id":18,"text":779,"url":18,"identifiers":780},"Sternstein, 1968, Appl. Polym. Symp., 7, 175",{},{"id":18,"text":782,"url":18,"identifiers":783},"Sternstein, 1973, J. Macromol. Sci. Phys., B8, 539, 10.1080\u002F00222347308201636",{"doi":784},"10.1080\u002F00222347308201636",{"id":18,"text":786,"url":787,"identifiers":788},"Sukumaran, 2005, Identifying th primitive path mesh in entangled polymer liquids., J. Polym. Sci. B: Polym. Phys., 43, 917, 10.1002\u002Fpolb.20384","http:\u002F\u002Fdx.doi.org\u002F10.1002\u002Fpolb.20384",{"doi":789},"10.1002\u002Fpolb.20384",{"id":18,"text":791,"url":792,"identifiers":793},"Toepperwein, 2011, Cavitation and crazing in rod-containing nanocomposites, Macromolecules, 44, 5498, 10.1021\u002Fma200541s","https:\u002F\u002Fdoi.org\u002F10.1021\u002Fma200541s",{"mag":794,"openalex":795,"doi":796},"2319314619","W2319314619","10.1021\u002Fma200541s",{"id":18,"text":798,"url":799,"identifiers":800},"Tzoumanekas, 2006, Topological analysis of linear polymer melts: a statistical approach, Macromolecules, 39, 4592, 10.1021\u002Fma0607057","https:\u002F\u002Fdoi.org\u002F10.1021\u002Fma0607057",{"mag":801,"openalex":802,"doi":803},"2002952493","W2002952493","10.1021\u002Fma0607057",{"id":18,"text":805,"url":806,"identifiers":807},"Theodorou, 1985, Detailed molecular structure of a vinyl polymer glass, Macromolecules, 18, 1467, 10.1021\u002Fma00149a018","https:\u002F\u002Fdoi.org\u002F10.1021\u002Fma00149a018",{"mag":808,"openalex":809,"doi":810},"2067839394","W2067839394","10.1021\u002Fma00149a018",{"id":812,"text":813,"url":814,"identifiers":815},"0a43e85a-60f2-47e7-abaf-59e09cafcbbf","Tijssens, 2002, A possible mechanism for cross-tie fibril generation in crazing of amorphous polymers, Polymer, 43, 831, 10.1016\u002FS0032-3861(01)00642-5","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0032386101006425",{"doi":816},"10.1016\u002Fs0032-3861(01)00642-5",{"id":18,"text":818,"url":819,"identifiers":820},"Torres, 1953, On the Alexander polynomial, Ann. Math., 57, 57, 10.2307\u002F1969726","https:\u002F\u002Fdoi.org\u002F10.2307\u002F1969726",{"mag":821,"openalex":822,"doi":823},"2317239830","W2317239830","10.2307\u002F1969726",{"id":424,"text":825,"url":426,"identifiers":826},"Vieth, W.R., Frangoulis, C.S., Jr., Rionda, J., 1966. Kinetics of sorption of methane in glassy polystyrene. J. Colloid Interface Sci. 22 (5), 454–461.",{"doi":428},{"id":18,"text":828,"url":829,"identifiers":830},"Wellinghoff, 1975, The mechanism of crazing in polystyrene, J. Macromol. Sci. —Phys., B11, 367, 10.1080\u002F00222347508018918","https:\u002F\u002Fdoi.org\u002F10.1080\u002F00222347508018918",{"mag":831,"openalex":832,"doi":833},"2019676811","W2019676811","10.1080\u002F00222347508018918",{"id":835,"createTime":836,"updateTime":837,"relativeEntities":838,"slug":839,"properties":840,"entityType":110,"verifyStatus":111,"verifyTime":849,"verifyNote":113,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":850,"fullTextUrl":18,"authors":851,"publicationType":213,"publisherRelationship":886,"citationCount":19,"citationInfo":936,"publishDate":939,"publishYear":937,"citationAnalyzeStatus":377,"lastCitationAnalyze":940,"indexDatabases":941,"openAccess":18,"references":18,"isForceReanalyzing":271},"7663349a-9024-45fa-813a-9df14b3c9854","2024-02-10T07:19:02.477+00:00","2026-07-28T09:01:03.761+00:00",[],"Microstructures-minimizing-the-energy-of-a-two-phase-elastic-composite-in-two-space-dimensions-II-The-vigdergauz-microstructure",{"title":841,"gsPaper":843,"references":845,"doi":847},{"EN":842},"Microstructures minimizing the energy of a two phase elastic composite in two space dimensions. II: The vigdergauz microstructure",{"VOID":844},"[\"4953005288523304488\"]",{"VOID":846},"Abramowitz, 1965\nAllaire, 1993, Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions, Quart. Appl. Math., LI, 675, 10.1090\u002Fqam\u002F1247434\nAllaire, 1993, Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials, Quart. Appl. Math., LI, 643, 10.1090\u002Fqam\u002F1247433\nAllaire, 1993, Optimal design for minimum weight and compliance in plane stress using extremal microstructures, Europ. J. Mech. (A\u002FSolids), 12, 839\nAvellaneda, 1987, Optimal bounds and microgeometries for elastic two-phase composites, SIAM J. Appl. Math., 47, 1216, 10.1137\u002F0147082\nBanichuk, 1977, Conditions of optimality in the problem of finding shapes of holes in elastic bodies, PMM, 41, 920\nBarnett, 1974, The strain energy of a coherent ellipsoidal precipitate, Scripta Metall., 8, 1447, 10.1016\u002F0036-9748(74)90187-2\nBendsøe, 1988, Generating optimal topologies in structural design using a homogenization method, Comp. Meth. Appl. Mech. Engng, 71, 197, 10.1016\u002F0045-7825(88)90086-2\nCherepanov, 1974, Inverse problems of the plane theory of elasticity, J. Appl. Math. Mech. (Transl. of PMM), 38, 963\nEldiwany, 1986, On rigid inclusions of minimum stress concentration, J. Mech. Phys. Solids, 34, 19, 10.1016\u002F0022-5096(86)90003-7\nFrancfort, 1986, Homogenization and optimal bounds in linear elasticity, Arch. Rat. Mech. Anal., 94, 307, 10.1007\u002FBF00280908\nGibiansky, 1984, Design of composite plates of extremal rigidity\nGibiansky, 1987, Microstructures of composites of extremal rigidity and exact estimates of the associated energy density\nGrabovsky, Y. (preprint) Bounds and extremal microstructures for two-component composites: A unified treatment based on the translation method. Proc. Roy. Soc. London, Series A (in press).\nGrabovsky, 1995, Microstructures minimizing the energy of a two phase elastic composite in two space dimensions. I: the confocal ellipse construction, J. Mech. Phys. Solids, 43, 933, 10.1016\u002F0022-5096(95)00016-C\nHashin, 1962, The elastic moduli of heterogeneous materials, ASME J. Appl. Mech., 29, 143, 10.1115\u002F1.3636446\nHashin, 1963, A variational approach to the theory of the elastic behavior of multiphase materials, J. Mech. Phys. Solids, 11, 127, 10.1016\u002F0022-5096(63)90060-7\nHemp, 1973\nJog, 1992, A displacement based topology design with self-adaptive materials, 219\nKaganova, 1987, Equilibrium shape of an inclusion in a solid, Sov. Phys. Dokl., 32, 925\nKardonski, 1972, On the shapes of coherent precipitates, Phys. Met. Metallurg. USSR, 33, 210\nKhachaturyan, 1983\nKinoshita, 1971, Elastic fields of inclusions in anisotropic media, Phys., Status Solidi (a), 5, 759, 10.1002\u002Fpssa.2210050332\nKohn, 1988, Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials, Arch. Rat. Mech. Anal., 102, 331, 10.1007\u002FBF00251534\nKohn, R. V. and Lu, J. (in preparation) Elastic energy minimization and the shapes of coherent precipitates.\nKohn, 1986, Optimal design and relaxation of variational problems, Comm. Pure Appl. Math., 39, 113, 10.1002\u002Fcpa.3160390107\nKohn, 1986, Optimal design and relaxation of variational problems, Comm. Pure Appl. Math., 39, 139, 10.1002\u002Fcpa.3160390202\nKohn, 1986, Optimal design and relaxation of variational problems, Comm. Pure Appl. Math., 39, 353, 10.1002\u002Fcpa.3160390305\nLagache, 1981, Treillis de volume minimal dans une regioné donnée, J. Méc., 20, 415\nLarché, 1984, A simple model for coherent equilibrium, Acta Metall. Mater., 32, 1915, 10.1016\u002F0001-6160(84)90173-1\nLee, 1977, The elastic strain energy of coherent ellipsoidal precipitates in anisotropic crystalline solids, Metall. Trans. A, 8A, 963, 10.1007\u002FBF02661580\nLipton, 1993, Inequalities for electric and elastic polarization tensors with applications to random composites, J. Mech. Phys. Solids, 41, 809, 10.1016\u002F0022-5096(93)90001-V\nLu, 1993, Elastic energy minimization and the shape of coherent precipitates\nLurie, 1987, The effective characteristics of composite materials and problems of optimal design of constructions, Uspekhi Mekhaniki (Advances in Mechanics), 9, 3\nMarkushevich, 1985\nMikhlin, 1964\nMilton, 1986, Modeling the properties of composites by laminates, 150\nMilton, 1990, On characterizing the set of possible effective tensors of composites: the variational method and the translation method, Comm. Pure Appl. Math., 43, 63, 10.1002\u002Fcpa.3160430104\nMilton, G. W. (in preparation) Effective moduli of composites: exact results and bounds.\nMilton, 1988, Variational bounds on the effective moduli of anisotropic composites, J. Mech. Phys. Solids, 36, 597, 10.1016\u002F0022-5096(88)90001-4\nMurat, 1985, Calcul des variations et homogénéisation, Vol. no 57, 319\nPineau, 1976, Influence of uniaxial stress on the morphology of coherent precipitates during coarsening—elastic energy considerations, Acta Metall., 24, 559, 10.1016\u002F0001-6160(76)90101-2\nPrager, 1977, Optimization of structural geometry, 265\nRozvany, 1989\nSocrate, 1993, Numerical determination of the elastic driving force for directional coarsening in Ni-superalloys, Acta Metall. Mater., 41, 2185, 10.1016\u002F0956-7151(93)90389-A\nTartar, 1985, Estimation fines des coefficients homogénéisés, 168\nThompson, 1994, The equilibrium shape of a misfitting precipitate, Acta Metall. Mater., 42, 2107, 10.1016\u002F0956-7151(94)90036-1\nVigdergauz, 1976, Integral equation of the inverse problem of the plane theory of elasticity, PMM, 40, 518\nVigdergauz, 1983, Inverse problem of three-dimensional elasticity, MTT, 18, 83\nVigdergauz, 1986, Effective elastic parameters of a plate with a regular system of equal-strength holes, MTT, 21, 165\nVigdergauz, 1988, The geometrical characteristics of equally-strong boundaries of elastic bodies, PMM, 52, 371\nVigdergauz, 1989, Piecewise-homogeneous plates of extremal stiffness, PMM, 53, 76\nVigdergauz, 1989, Regular structures with extremal elastic properties, MTT, 24, 57\nVigdergauz, 1994, Two-dimensional grained composites of extreme rigidity, ASME J. Appl. Mech., 61, 390, 10.1115\u002F1.2901456\nWheeler, 1994, Inhomogeneities of minimum stress concentration, Vol. AMD-158\nWheeler, 1982, On voids of minimum stress concentration, Int. J. Solids Structures, 18, 85, 10.1016\u002F0020-7683(82)90018-X",{"VOID":848},"10.1016\u002F0022-5096(95)00017-d","2024-08-31T00:32:12.383+00:00","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002F002250969500017D",[852,869],{"id":853,"sortIndex":19,"researcher":18,"roles":854,"affiliations":855,"properties":864},"d261bbf1-b735-49b7-9efe-7a94adff7da9",[119],[856],{"id":857,"sortIndex":19,"affiliation":858,"properties":18},"c9eaf3d1-cb52-4e02-b192-f86d5a61b2c5",{"id":857,"createTime":18,"updateTime":18,"relativeEntities":859,"slug":18,"properties":860,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":863,"statistic":18},[],{"title":861},{"VI":862},"Department of Mathematics, Carnegie-Mellon University, Pittsburgh, PA, 15213 U.S.A.",[],{"title":865,"gsAuthor":867},{"VI":866},"Yury Grabovsky",{"VOID":868},"[\"bJ7JsxQAAAAJ\"]",{"id":870,"sortIndex":131,"researcher":18,"roles":871,"affiliations":872,"properties":881},"c46c4c00-09cc-4384-b634-7ef267c3d92e",[119],[873],{"id":874,"sortIndex":19,"affiliation":875,"properties":18},"d495e6be-07e0-4b33-9161-1a1e7e6d4002",{"id":874,"createTime":18,"updateTime":18,"relativeEntities":876,"slug":18,"properties":877,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":880,"statistic":18},[],{"title":878},{"VI":879},"Courant Institute, 251 Mercer Street, New York, NY 10012, U.S.A",[],{"title":882,"gsAuthor":884},{"VI":883},"Robert V. Kohn",{"VOID":885},"[\"2JYb4lkAAAAJ\"]",{"url":850,"publisher":887,"properties":931},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":888,"slug":10,"properties":889,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":892,"manageAffiliations":905,"indexDatabases":916,"url":18,"thumbnailPath":18,"statistic":18,"gsStatistic":18,"type":18,"analyzePriority":18},[],{"issn":890,"title":891},{"VOID":13},{"EN":15},[893,897,901],{"id":22,"createTime":18,"updateTime":18,"relativeEntities":894,"label":895,"description":896,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":25},{},{"id":28,"createTime":18,"updateTime":18,"relativeEntities":898,"label":899,"description":900,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":31},{},{"id":34,"createTime":18,"updateTime":18,"relativeEntities":902,"label":903,"description":904,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":37},{},[906,911],{"id":41,"createTime":18,"updateTime":18,"relativeEntities":907,"slug":18,"properties":908,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":910,"statistic":18},[],{"title":909},{"EN":45},[],{"id":48,"createTime":18,"updateTime":18,"relativeEntities":912,"slug":18,"properties":913,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":915,"statistic":18},[],{"title":914},{"EN":52},[],[917,924],{"id":56,"indexDatabase":918,"url":69,"indexYears":18,"academicFieldIds":923,"indexDatabaseRanking":18},{"id":58,"createTime":18,"updateTime":18,"relativeEntities":919,"label":920,"description":921,"key":65,"publicationTags":922,"standard":18},[],{"EN":61,"VI":61},{"EN":63,"VI":64},[67,68],[71,72,73],{"id":75,"indexDatabase":925,"url":86,"indexYears":87,"academicFieldIds":930,"indexDatabaseRanking":92},{"id":77,"createTime":18,"updateTime":18,"relativeEntities":926,"label":927,"description":928,"key":83,"publicationTags":929,"standard":18},[],{"EN":80,"VI":80},{"EN":80,"VI":82},[85],[89,90,91],{"pages":932,"volume":934},{"VOID":933},"949-972",{"VOID":935},"43",{"total":19,"publishYear":937,"statisticByYear":938},1995,{},"1995-06-01","2026-07-28T09:01:03.760+00:00",[67,92],{"id":943,"createTime":944,"updateTime":945,"relativeEntities":946,"slug":947,"properties":948,"entityType":110,"verifyStatus":111,"verifyTime":957,"verifyNote":113,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":958,"fullTextUrl":18,"authors":959,"publicationType":213,"publisherRelationship":988,"citationCount":373,"citationInfo":1038,"publishDate":1041,"publishYear":1039,"citationAnalyzeStatus":268,"lastCitationAnalyze":1042,"indexDatabases":1043,"openAccess":18,"references":18,"isForceReanalyzing":271},"56f1b6f9-5350-4dd5-813a-a2795c8e14b3","2024-01-10T04:36:26.723+00:00","2026-07-28T08:08:23.028+00:00",[],"A-stochastic-approximation-approach-to-improve-the-convergence-behavior-of-hierarchical-atomistic-to-continuum-multiscale-models",{"title":949,"gsPaper":951,"references":953,"doi":955},{"EN":950},"A stochastic approximation approach to improve the convergence behavior of hierarchical atomistic-to-continuum multiscale models",{"VOID":952},"[\"13982875586663883767\"]",{"VOID":954},"Allen, 2009\nAndersen, 1980, Molecular dynamics simulations at constant pressure and\u002For temperature, J. Chem. Phys., 72, 2384, 10.1063\u002F1.439486\nBather, J.A., 1989. Stochastic approximation: a generalization of the Robbins-Monro procedure. In: Mandl, P., Hus̃ková, M. (Eds.), Proceedings of the Fourth Prague Symposium on Asymptotic Statistics. Charles University, Prague, pp. 13–27.\nBenaim, 1993, The ‘off line learning approximation’ in continuous time neural networks, Neural Netw., 6, 655, 10.1016\u002FS0893-6080(05)80109-1\nBonet, 1997\nÇain, 1989, Elastic constants of nickel, Phys. Rev. B, 39, 12484, 10.1103\u002FPhysRevB.39.12484\nCheng, 1994, Neural networks, Stat. Sci., 9, 2, 10.1214\u002Fss\u002F1177010638\nChung, 2003, On a formulation for a multiscale atomistic-continuum homogenization method, Int. J. Solids Struct., 40, 2563, 10.1016\u002FS0020-7683(03)00058-1\nClayton, 2006, An atomistic-to-continuum framework for nonlinear crystal mechanics based on asymptotic homogenization, J. Mech. Phys. Solids, 54, 1604, 10.1016\u002Fj.jmps.2006.02.004\nDavydov, 2014, Comparison of several staggered atomistic-to-continuum concurrent coupling strategies, Comput. Methods Appl. Mech. Eng., 277, 260, 10.1016\u002Fj.cma.2014.04.013\nDupuy, 2005, Finite-temperature quasicontinuum, Phys. Rev. Lett., 95, 060202, 10.1103\u002FPhysRevLett.95.060202\nEl Alem, 2011, A new methodology for an optimal shape design, Appl. Mech. Mater., 61, 43, 10.4028\u002Fwww.scientific.net\u002FAMM.61.43\nEricksen, 2008, On the Cauchy–Born rule, Math. Mech. Solids, 13, 199, 10.1177\u002F1081286507086898\nFish, 2007, Generalized mathematical homogenization of atomistic media at finite temperatures in three dimensions, Comput. Methods Appl. Mech. Eng., 196, 908, 10.1016\u002Fj.cma.2006.08.001\nFish, 2008, Mathematical homogenization of nonperiodic heterogeneous media subjected to large deformation transient loading, Int. J. Numer. Methods Eng., 76, 1044, 10.1002\u002Fnme.2355\nHoover, 1985, Canonical dynamics, Phys. Rev. A, 31, 1695, 10.1103\u002FPhysRevA.31.1695\nHünenberger, 2005, Thermostat algorithms for molecular dynamics simulations, Adv. Polym. Sci., 173, 105, 10.1007\u002Fb99427\nKiefer, 1952, Stochastic estimation of the maximum of a regression function, Ann. Math. Stat., 23, 462, 10.1214\u002Faoms\u002F1177729392\nKim, 2014, Hyper-QC, J. Mech. Phys. Solids, 63, 94, 10.1016\u002Fj.jmps.2013.10.001\nKushner, 1993, Stochastic approximation with averaging of the iterates, SIAM J. Control Optim., 31, 1045, 10.1137\u002F0331047\nKushner, 2003\nLazarus, 1949, The variation of the adiabatic elastic constants of KCl, NaCl, CuZn, Cu, and Al with pressure to 10,000 bars, Phys. Rev., 76, 545, 10.1103\u002FPhysRev.76.545\nLekhnitskii, S., 1968. Anisotropic Plates. Gordon & Breach, London.\nLi, 2008, Generalized mathematical homogenization, Comput. Methods Appl. Mech. Eng., 197, 3225, 10.1016\u002Fj.cma.2007.12.002\nLi, 2010, On multiscale non-equilibrium molecular dynamics simulations, Int. J. Numer. Methods Eng., 83, 998, 10.1002\u002Fnme.2849\nLi, 2015, A concurrent multiscale micromorphic molecular dynamics, J. Appl. Phys., 117, 154303, 10.1063\u002F1.4916702\nLim, 2015, Technological forecasting of supercomputer development: the march to exascale computing, Omega – Int. J. Manag. Sci., 51, 128, 10.1016\u002Fj.omega.2014.09.009\nLiu, 2004, An introduction to computational nanomechanics and materials, Comput. Methods Appl. Mech. Eng., 193, 1529, 10.1016\u002Fj.cma.2003.12.008\nLiu, 2007, Nonequilibrium multiscale computational model, J. Chem. Phys., 126, 124105, 10.1063\u002F1.2711432\nLópez-Rubio, 2011, Stochastic approximation for background modelling, Comput. Vis. Image Underst., 115, 735, 10.1016\u002Fj.cviu.2011.01.007\nMalvern, 1969\nMiller, 2004, A coupled atomistics and discrete dislocation plasticity simulation of nanoindentation into single crystal thin films, Acta Mater., 52, 271, 10.1016\u002Fj.actamat.2003.09.011\nMiller, 2009, A unified framework and performance benchmark of fourteen multiscale atomistic\u002Fcontinuum coupling methods, Model. Simul. Mater. Sci. Eng., 17, 053001, 10.1088\u002F0965-0393\u002F17\u002F5\u002F053001\nNocedal, 1999\nNosé, 1984, A unified formulation of the constant temperature molecular-dynamics methods, J. Chem. Phys., 81, 511, 10.1063\u002F1.447334\nParrinello, 1981, Polymorphic transitions in single crystals, J. Appl. Phys., 52, 7182, 10.1063\u002F1.328693\nPodio-Guidugli, 2010, On (Andersen–)Parrinello–Rahman molecular dynamics, the related metadynamics, and the use of the Cauchy–Born rule, J. Elast., 100, 145, 10.1007\u002Fs10659-010-9250-0\nPolyak, 1992, Acceleration of stochastic approximation by averaging, SIAM J. Control Optim., 838, 10.1137\u002F0330046\nRay, 1985, Statistical ensembles and molecular dynamics studies of anisotropic solids. II, J. Chem. Phys., 82, 4243, 10.1063\u002F1.448813\nRobbins, 1951, A stochastic approximation method, Ann. Math. Stat., 22, 400, 10.1214\u002Faoms\u002F1177729586\nRudd, 1998, Coarse-grained molecular dynamics and the atomic limit of finite elements, Phys. Rev. B, 58, R5893, 10.1103\u002FPhysRevB.58.R5893\nSchwabe, 1994, On bather's stochastic approximation algorithm, Kybernetika, 30, 301\nSeyedpoor, 2011, Optimal design of arch dams subjected to earthquake loading by a combination of simultaneous perturbation stochastic approximation and particle swarm algorithms, Appl. Soft Comput., 11, 39, 10.1016\u002Fj.asoc.2009.10.014\nShewchuck, J.R., 1994. An Introduction to the Conjugate Gradient Method Without the Agonizing Pain. School of Computer Science, Carnegie Mellon University.\nShilkrot, 2002, Coupled atomistic and discrete dislocation plasticity, Phys. Rev. Lett., 89, 025501, 10.1103\u002FPhysRevLett.89.025501\nSpall, 1992, Multivariate stochastic approximation using a simultaneous perturbation gradient approximation, IEEE Trans. Autom. Control, 37, 332, 10.1109\u002F9.119632\nSpall, 2000, Adaptive stochastic approximation by the simultaneous perturbation method, IEEE Trans. Autom. Control, 45, 1839, 10.1109\u002FTAC.2000.880982\nSpall, J.C., 2003. Introduction to Stochastic Search and Optimization: Estimation, Simulation, and Control. Wiley, New Jersey.\nSultan, 2010, Proportional damping approximation using the energy gain and simultaneous perturbation stochastic approximation, Mech. Syst. Signal Process., 24, 2210, 10.1016\u002Fj.ymssp.2010.02.013\nTadmor, 2013, Finite-temperature quasi-continuum, Appl. Mech. Rev., 65, 1, 10.1115\u002F1.4023013\nTadmor, 2011\nTadmor, 2012\nTadmor, 1996, Quasicontinuum analysis of defects in solids, Philos. Mag. A, 73, 1529, 10.1080\u002F01418619608243000\nTadmor, 2000, Hierarchical modeling in the mechanics of materials, Int. J. Solids Struct., 37, 379, 10.1016\u002FS0020-7683(99)00095-5\nThurston, R.N., 1964. Wave propagation in fluids and normal solids. In: Mason, W.P. (Ed.), Physical Acoustics, vol. 1A. Academic Press, New York.\nTong, 2015, From molecular systems to continuum solids, J. Chem. Phys., 143, 064101, 10.1063\u002F1.4927656\nUlz, 2013, Comments on a continuum-related Parrinello–Rahman molecular dynamics formulation, J. Elast., 113, 93, 10.1007\u002Fs10659-012-9412-3\nUlz, 2015, Coupling the finite element method and molecular dynamics in the framework of the heterogeneous multiscale method for quasi-static isothermal problems, J. Mech. Phys. Solids, 74, 1, 10.1016\u002Fj.jmps.2014.10.002\nUlz, 2015, A multiscale molecular dynamics method for isothermal dynamic problems using the seamless heterogeneous multiscale method, Comput. Methods Appl. Mech. Eng., 295, 510, 10.1016\u002Fj.cma.2015.07.019\nWeiner, 2002\nWen-Long, 2012, Estimation of geological formation thermal conductivity by using stochastic approximation method based on well-log temperature data, Energy, 38, 21, 10.1016\u002Fj.energy.2011.12.047\nXiao, 2004, A bridging domain method for coupling continua with molecular dynamics, Comput. Methods Appl. Mech. Eng., 193, 1645, 10.1016\u002Fj.cma.2003.12.053\nYin, G., 1983. Adaptive filtering with averaging. In: IMA Volumes in Mathematics and its Applications, vol. 1035, p. 375.\nZeng, X., Li, S., 2010. Recent developments on concurrent multiscale simulations. In: Qin, Q.H., Sun, B. (Eds.), Advances in Engineering Mechanics, vol. 1. Nova Science Publishers, Inc., New York.\nZhou, 2001, Atomic scale structure of sputtered metal multilayers, Acta Mater., 49, 4005, 10.1016\u002FS1359-6454(01)00287-7\nZienkiewicz, 2000",{"VOID":956},"10.1016\u002Fj.jmps.2016.05.024","2024-08-31T00:53:06.510+00:00","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0022509616300977",[960,975],{"id":961,"sortIndex":19,"researcher":18,"roles":962,"affiliations":963,"properties":972},"e2aeaf88-80f9-44b9-b202-59120610b55b",[119],[964],{"id":965,"sortIndex":19,"affiliation":966,"properties":18},"77085214-aa43-4db8-924e-cfe55311bedf",{"id":965,"createTime":18,"updateTime":18,"relativeEntities":967,"slug":18,"properties":968,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":971,"statistic":18},[],{"title":969},{"EN":970},"Institute for Strength of Materials, Graz University of Technology, Kopernikusgasse 24\u002FI, 8010, Graz, Austria",[],{"title":973},{"VI":974},"Patrick Wurm",{"id":976,"sortIndex":131,"researcher":18,"roles":977,"affiliations":978,"properties":985},"b10642ef-601a-4cb8-9d8b-7ce2ce64beb3",[119],[979],{"id":965,"sortIndex":19,"affiliation":980,"properties":18},{"id":965,"createTime":18,"updateTime":18,"relativeEntities":981,"slug":18,"properties":982,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":984,"statistic":18},[],{"title":983},{"EN":970},[],{"title":986},{"VI":987},"Manfred H. Ulz",{"url":958,"publisher":989,"properties":1033},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":990,"slug":10,"properties":991,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":994,"manageAffiliations":1007,"indexDatabases":1018,"url":18,"thumbnailPath":18,"statistic":18,"gsStatistic":18,"type":18,"analyzePriority":18},[],{"issn":992,"title":993},{"VOID":13},{"EN":15},[995,999,1003],{"id":22,"createTime":18,"updateTime":18,"relativeEntities":996,"label":997,"description":998,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":25},{},{"id":28,"createTime":18,"updateTime":18,"relativeEntities":1000,"label":1001,"description":1002,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":31},{},{"id":34,"createTime":18,"updateTime":18,"relativeEntities":1004,"label":1005,"description":1006,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":37},{},[1008,1013],{"id":41,"createTime":18,"updateTime":18,"relativeEntities":1009,"slug":18,"properties":1010,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1012,"statistic":18},[],{"title":1011},{"EN":45},[],{"id":48,"createTime":18,"updateTime":18,"relativeEntities":1014,"slug":18,"properties":1015,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1017,"statistic":18},[],{"title":1016},{"EN":52},[],[1019,1026],{"id":56,"indexDatabase":1020,"url":69,"indexYears":18,"academicFieldIds":1025,"indexDatabaseRanking":18},{"id":58,"createTime":18,"updateTime":18,"relativeEntities":1021,"label":1022,"description":1023,"key":65,"publicationTags":1024,"standard":18},[],{"EN":61,"VI":61},{"EN":63,"VI":64},[67,68],[71,72,73],{"id":75,"indexDatabase":1027,"url":86,"indexYears":87,"academicFieldIds":1032,"indexDatabaseRanking":92},{"id":77,"createTime":18,"updateTime":18,"relativeEntities":1028,"label":1029,"description":1030,"key":83,"publicationTags":1031,"standard":18},[],{"EN":80,"VI":80},{"EN":80,"VI":82},[85],[89,90,91],{"pages":1034,"volume":1036},{"VOID":1035},"480-500",{"VOID":1037},"95",{"total":373,"publishYear":1039,"statisticByYear":1040},2016,{"2019":160,"2020":181},"2016-10-01","2026-07-28T08:08:23.026+00:00",[67,92],{"id":1045,"createTime":1046,"updateTime":1047,"relativeEntities":1048,"slug":1049,"properties":1050,"entityType":110,"verifyStatus":111,"verifyTime":1059,"verifyNote":113,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":1060,"fullTextUrl":18,"authors":1061,"publicationType":213,"publisherRelationship":1105,"citationCount":19,"citationInfo":1155,"publishDate":1158,"publishYear":1156,"citationAnalyzeStatus":377,"lastCitationAnalyze":1159,"indexDatabases":1160,"openAccess":18,"references":18,"isForceReanalyzing":271},"8d5dab68-3e11-4ce5-8165-e00da2c1c1f8","2023-12-07T12:54:05.702+00:00","2026-07-25T02:56:10.670+00:00",[],"Elastodynamic-response-of-layers-of-spherical-particles-in-hexagonal-and-square-periodic-arrangements",{"title":1051,"gsPaper":1053,"references":1055,"doi":1057},{"EN":1052},"Elastodynamic response of layers of spherical particles in hexagonal and square periodic arrangements",{"VOID":1054},"[\"12408091639150142696\"]",{"VOID":1056},"Achenbach, 1986, Reflection and transmission of an obliquely incident wave by an array of spherical cavities, J. Acoust. Soc. Am., 80, 1209, 10.1121\u002F1.393812\nAchenbach, 1988, Reflection and transmission of plane waves by a layer of compact inhomogeneities, Pageoph., 128, 101, 10.1007\u002FBF01772592\nAchenbach, 1986, Reflection and transmission of scalar waves by a periodic array of screens, Wave Motion, 8, 225, 10.1016\u002FS0165-2125(86)80045-2\nAlfa, 1997, 956\nAngel, 1985, Reflection and transmission of elastic waves by a periodic array of cracks, J. Appl. Mech., 52, 33, 10.1115\u002F1.3169023\nAskeland, 1994, 50\nB. Braun Melsungen, Glasperlen, Nr. 854180, Melsungen, Germany\nBrillouin, 1953\nETI, Clear Casting Resin, Fields Landing, CA 95537\nFlax, 1980, Resonant scattering of elastic waves from spherical solid inclusions, J. Acoust. Soc. Am., 47, 1432, 10.1121\u002F1.384316\nHarrison, 1979\nKinra, 1982, Wave propagation in a random particulate composite at long and short wavelengths, Int. J. Solids Struct., 18, 367, 10.1016\u002F0020-7683(82)90076-2\nKinra, 1997, The transmission of a longitudinal wave through a layer of spherical inclusions with a random or periodic arrangement, J. Mech. Phys. Solids, 46, 153, 10.1016\u002FS0022-5096(97)00030-6\nKinra, 1995, Ultrasonic measurement of the thickness, phase velocity, density or attenuation of a thin viscoelastic plate. Part I: The forward problem, Ultrasonics, 33, 95, 10.1016\u002F0041-624X(94)00025-K\nKinra, 1983, An experimental investigation of pass bands and stop bands in two periodic particulate composites, Int. J. Solids Struct., 19, 393, 10.1016\u002F0020-7683(83)90051-3\nKitahara, 1987, BIE method to analyze wave motion in solids with periodically distributed cavities, Comp. Meth. Appl. Mech. Engng, 64, 523, 10.1016\u002F0045-7825(87)90054-5\nKitahara, 1988, BIE calculations for harmonic waves in solid with periodic distributed inhomogeneities, 197\nKittel, 1996\nMaslov, K., Kinra, V.K., Henderson, B.K., 1999. Lattice resonance of a planar array of spherical inclusions: an experimental study. Mech. Matls. 31, 175–186\nMow, 1965, Transient response of a rigid spherical inclusion in an elastic medium, J. Appl. Mech., 32, 637, 10.1115\u002F1.3627271\nMusgrave, 1970\nScarpetta, 1995, Explicit analytical results for one-mode normal reflection and transmission by a periodic array of screens, J. Math. Anal. Appl., 196, 736, 10.1006\u002Fjmaa.1995.1386\nSotiropoulos, 1988, Ultrasonic reflection by a planar distribution of cracks, J. NDE, 7, 123\nTruell, 1969\nTwersky, 1975, Multiple scattering of waves by the doubly periodic array of obstacles, J. Math. Phys., 16, 633, 10.1063\u002F1.522563\nVaradan, 1991, Scattering of waves by spheres and cylinders, 211\nWolf, 1945, Motion of a rigid sphere in an acoustic wave field, Geophysics, 10, 91, 10.1190\u002F1.1437153\nYing, 1956, Scattering of a plane longitudinal wave by a spherical obstacle in an isotropically elastic solid, J. Acoust. Soc. Am., 27, 1086",{"VOID":1058},"10.1016\u002Fs0022-5096(99)00013-7","2024-08-30T23:31:01.349+00:00","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0022509699000137",[1062,1077,1090],{"id":1063,"sortIndex":19,"researcher":18,"roles":1064,"affiliations":1065,"properties":1074},"58b8140b-de9e-42b0-b575-5e8259baee77",[119],[1066],{"id":1067,"sortIndex":19,"affiliation":1068,"properties":18},"2066a4b8-7e7c-4733-acc4-829f591fb55d",{"id":1067,"createTime":18,"updateTime":18,"relativeEntities":1069,"slug":18,"properties":1070,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1073,"statistic":18},[],{"title":1071},{"VI":1072},"Center for Mechanics and Composites, Department of Aerospace Engineering, Texas A&M University, College Station, TX 77843-3141, USA",[],{"title":1075},{"VI":1076},"V.K Kinra",{"id":1078,"sortIndex":131,"researcher":18,"roles":1079,"affiliations":1080,"properties":1087},"eeeb916e-21a2-4cce-8e93-c97130745215",[119],[1081],{"id":1067,"sortIndex":19,"affiliation":1082,"properties":18},{"id":1067,"createTime":18,"updateTime":18,"relativeEntities":1083,"slug":18,"properties":1084,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1086,"statistic":18},[],{"title":1085},{"VI":1072},[],{"title":1088},{"VI":1089},"B.K Henderson",{"id":1091,"sortIndex":160,"researcher":18,"roles":1092,"affiliations":1093,"properties":1100},"342d649a-93da-48de-8bcd-85d2df273368",[119],[1094],{"id":1067,"sortIndex":19,"affiliation":1095,"properties":18},{"id":1067,"createTime":18,"updateTime":18,"relativeEntities":1096,"slug":18,"properties":1097,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1099,"statistic":18},[],{"title":1098},{"VI":1072},[],{"title":1101,"gsAuthor":1103},{"VI":1102},"K.I Maslov",{"VOID":1104},"[\"oHukIJ0AAAAJ\"]",{"url":1060,"publisher":1106,"properties":1150},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1107,"slug":10,"properties":1108,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":1111,"manageAffiliations":1124,"indexDatabases":1135,"url":18,"thumbnailPath":18,"statistic":18,"gsStatistic":18,"type":18,"analyzePriority":18},[],{"issn":1109,"title":1110},{"VOID":13},{"EN":15},[1112,1116,1120],{"id":22,"createTime":18,"updateTime":18,"relativeEntities":1113,"label":1114,"description":1115,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":25},{},{"id":28,"createTime":18,"updateTime":18,"relativeEntities":1117,"label":1118,"description":1119,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":31},{},{"id":34,"createTime":18,"updateTime":18,"relativeEntities":1121,"label":1122,"description":1123,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":37},{},[1125,1130],{"id":41,"createTime":18,"updateTime":18,"relativeEntities":1126,"slug":18,"properties":1127,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1129,"statistic":18},[],{"title":1128},{"EN":45},[],{"id":48,"createTime":18,"updateTime":18,"relativeEntities":1131,"slug":18,"properties":1132,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1134,"statistic":18},[],{"title":1133},{"EN":52},[],[1136,1143],{"id":56,"indexDatabase":1137,"url":69,"indexYears":18,"academicFieldIds":1142,"indexDatabaseRanking":18},{"id":58,"createTime":18,"updateTime":18,"relativeEntities":1138,"label":1139,"description":1140,"key":65,"publicationTags":1141,"standard":18},[],{"EN":61,"VI":61},{"EN":63,"VI":64},[67,68],[71,72,73],{"id":75,"indexDatabase":1144,"url":86,"indexYears":87,"academicFieldIds":1149,"indexDatabaseRanking":92},{"id":77,"createTime":18,"updateTime":18,"relativeEntities":1145,"label":1146,"description":1147,"key":83,"publicationTags":1148,"standard":18},[],{"EN":80,"VI":80},{"EN":80,"VI":82},[85],[89,90,91],{"pages":1151,"volume":1153},{"VOID":1152},"2147-2170",{"VOID":1154},"47",{"total":19,"publishYear":1156,"statisticByYear":1157},1999,{},"1999-10-01","2026-07-25T02:56:10.669+00:00",[67,92],{"id":1162,"createTime":1163,"updateTime":1164,"relativeEntities":1165,"slug":1166,"properties":1167,"entityType":110,"verifyStatus":111,"verifyTime":1176,"verifyNote":113,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":1177,"fullTextUrl":18,"authors":1178,"publicationType":213,"publisherRelationship":1194,"citationCount":18,"citationInfo":18,"publishDate":1244,"publishYear":1245,"citationAnalyzeStatus":1246,"lastCitationAnalyze":1247,"indexDatabases":1248,"openAccess":18,"references":18,"isForceReanalyzing":271},"54ba070c-5e6e-4e5d-815a-8be4af821af5","2024-01-25T18:53:01.491+00:00","2026-07-23T12:34:00.653+00:00",[],"Inclusions-with-constant-eigenstress",{"title":1168,"gsPaper":1170,"references":1172,"doi":1174},{"EN":1169},"Inclusions with constant eigenstress",{"VOID":1171},"[]",{"VOID":1173},"Cherepanov, 1974, PMM, 38, 963\nCourant, R. and Hilbert, D. (1962) Methods of Mathematical Physics. Interscience, New York.\nEshelby, 1957, Proc. Roy. Soc., 241, 376, 10.1098\u002Frspa.1957.0133\nEshelby, J. D. (1961) Elastic inclusion and inhomogeneities. In Progress in Solid Mechanics 2, ed. I. N. Sneddon and R. Hill, pp. 89–140. North Holland, Amsterdam.\nMarkenscoff, X. (1997) On the shape of the Eshelby inclusions. J. Elasticity (in press) .\nMura, T. (1982) Micromechanics of Defects in Solids. Martinus Ni jhoff Publishers, The Netherlands.\nRodin, 1996, J. Mech. Phys. Sol., 44, 1977, 10.1016\u002FS0022-5096(96)00066-X",{"VOID":1175},"10.1016\u002Fs0022-5096(98)00039-8","2024-06-25T08:25:52.491+00:00","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0022509698000398",[1179],{"id":1180,"sortIndex":19,"researcher":18,"roles":1181,"affiliations":1182,"properties":1191},"c50e4472-2365-4f80-a4bf-53534fe58fe9",[119],[1183],{"id":1184,"sortIndex":19,"affiliation":1185,"properties":18},"2ccc2c42-4ac0-4a97-80d5-e37e0c0f584a",{"id":1184,"createTime":18,"updateTime":18,"relativeEntities":1186,"slug":18,"properties":1187,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1190,"statistic":18},[],{"title":1188},{"VI":1189},"Department of Applied Mechanics and Engineering Sciences University of California, San Diego La Jolla, CA 92093-0411 USA",[],{"title":1192},{"VI":1193},"Xanthippi Markenscoff",{"url":1177,"publisher":1195,"properties":1239},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1196,"slug":10,"properties":1197,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":1200,"manageAffiliations":1213,"indexDatabases":1224,"url":18,"thumbnailPath":18,"statistic":18,"gsStatistic":18,"type":18,"analyzePriority":18},[],{"issn":1198,"title":1199},{"VOID":13},{"EN":15},[1201,1205,1209],{"id":22,"createTime":18,"updateTime":18,"relativeEntities":1202,"label":1203,"description":1204,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":25},{},{"id":28,"createTime":18,"updateTime":18,"relativeEntities":1206,"label":1207,"description":1208,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":31},{},{"id":34,"createTime":18,"updateTime":18,"relativeEntities":1210,"label":1211,"description":1212,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":37},{},[1214,1219],{"id":41,"createTime":18,"updateTime":18,"relativeEntities":1215,"slug":18,"properties":1216,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1218,"statistic":18},[],{"title":1217},{"EN":45},[],{"id":48,"createTime":18,"updateTime":18,"relativeEntities":1220,"slug":18,"properties":1221,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1223,"statistic":18},[],{"title":1222},{"EN":52},[],[1225,1232],{"id":56,"indexDatabase":1226,"url":69,"indexYears":18,"academicFieldIds":1231,"indexDatabaseRanking":18},{"id":58,"createTime":18,"updateTime":18,"relativeEntities":1227,"label":1228,"description":1229,"key":65,"publicationTags":1230,"standard":18},[],{"EN":61,"VI":61},{"EN":63,"VI":64},[67,68],[71,72,73],{"id":75,"indexDatabase":1233,"url":86,"indexYears":87,"academicFieldIds":1238,"indexDatabaseRanking":92},{"id":77,"createTime":18,"updateTime":18,"relativeEntities":1234,"label":1235,"description":1236,"key":83,"publicationTags":1237,"standard":18},[],{"EN":80,"VI":80},{"EN":80,"VI":82},[85],[89,90,91],{"pages":1240,"volume":1242},{"VOID":1241},"2297-2301",{"VOID":1243},"46","1998-12-01",1998,"ERROR_IN_GET_PLATFORM_ID","2026-07-23T12:34:00.652+00:00",[67,92],{"id":1250,"createTime":1251,"updateTime":1252,"relativeEntities":1253,"slug":1254,"properties":1255,"entityType":110,"verifyStatus":111,"verifyTime":1263,"verifyNote":113,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":1264,"fullTextUrl":18,"authors":1265,"publicationType":213,"publisherRelationship":1281,"citationCount":18,"citationInfo":18,"publishDate":1331,"publishYear":1332,"citationAnalyzeStatus":1246,"lastCitationAnalyze":1333,"indexDatabases":1334,"openAccess":18,"references":18,"isForceReanalyzing":271},"78608494-bfb2-4e36-8164-6fbb30534d02","2023-12-18T09:43:04.703+00:00","2026-07-23T00:43:13.020+00:00",[],"Die-pressure-in-plane-strain-drawing-Comparison-of-experiment-with-theory-",{"title":1256,"gsPaper":1258,"references":1259,"doi":1261},{"EN":1257},"Die pressure in plane strain drawing: Comparison of experiment with theory†",{"VOID":1171},{"VOID":1260},"Cook, 1952, Brit. J. Appl. Phys., 3, 59, 10.1088\u002F0508-3443\u002F3\u002F1\u002F302\nGreen, 1951, Phil. Mag., 42, 900, 10.1080\u002F14786445108561319\nGreen, 1932, J. Mech. Phys. Solids., 1, 31, 10.1016\u002F0022-5096(52)90004-5\nHill, 1950\nHill, 1948, J. Iron and Steel Inst., 159, 353\nKörber, 1940, Mitt. K. W. I. Eisenf., 22, 57\nSachs, 1927, Z.A.M.M., 7, 235\nWistreich J.G. 1948 Unpublished report",{"VOID":1262},"10.1016\u002F0022-5096(53)90034-9","2024-06-27T01:36:13.606+00:00","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002F0022509653900349",[1266],{"id":1267,"sortIndex":19,"researcher":18,"roles":1268,"affiliations":1269,"properties":1278},"12cf89f9-a2b9-45c4-a154-f866f78f7401",[119],[1270],{"id":1271,"sortIndex":19,"affiliation":1272,"properties":18},"b6778dd7-86a3-4c8e-a792-5a8bc32a43bd",{"id":1271,"createTime":18,"updateTime":18,"relativeEntities":1273,"slug":18,"properties":1274,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1277,"statistic":18},[],{"title":1275},{"VI":1276},"British Iron and Steel Research Association, Sheffield, U.K.",[],{"title":1279},{"VI":1280},"J.G. Wistreich",{"url":1264,"publisher":1282,"properties":1326},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1283,"slug":10,"properties":1284,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":1287,"manageAffiliations":1300,"indexDatabases":1311,"url":18,"thumbnailPath":18,"statistic":18,"gsStatistic":18,"type":18,"analyzePriority":18},[],{"issn":1285,"title":1286},{"VOID":13},{"EN":15},[1288,1292,1296],{"id":22,"createTime":18,"updateTime":18,"relativeEntities":1289,"label":1290,"description":1291,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":25},{},{"id":28,"createTime":18,"updateTime":18,"relativeEntities":1293,"label":1294,"description":1295,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":31},{},{"id":34,"createTime":18,"updateTime":18,"relativeEntities":1297,"label":1298,"description":1299,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":37},{},[1301,1306],{"id":41,"createTime":18,"updateTime":18,"relativeEntities":1302,"slug":18,"properties":1303,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1305,"statistic":18},[],{"title":1304},{"EN":45},[],{"id":48,"createTime":18,"updateTime":18,"relativeEntities":1307,"slug":18,"properties":1308,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1310,"statistic":18},[],{"title":1309},{"EN":52},[],[1312,1319],{"id":56,"indexDatabase":1313,"url":69,"indexYears":18,"academicFieldIds":1318,"indexDatabaseRanking":18},{"id":58,"createTime":18,"updateTime":18,"relativeEntities":1314,"label":1315,"description":1316,"key":65,"publicationTags":1317,"standard":18},[],{"EN":61,"VI":61},{"EN":63,"VI":64},[67,68],[71,72,73],{"id":75,"indexDatabase":1320,"url":86,"indexYears":87,"academicFieldIds":1325,"indexDatabaseRanking":92},{"id":77,"createTime":18,"updateTime":18,"relativeEntities":1321,"label":1322,"description":1323,"key":83,"publicationTags":1324,"standard":18},[],{"EN":80,"VI":80},{"EN":80,"VI":82},[85],[89,90,91],{"pages":1327,"volume":1329},{"VOID":1328},"164-171",{"VOID":1330},"1","1953-04-01",1953,"2026-07-23T00:43:13.019+00:00",[67,92],{"id":1336,"createTime":1337,"updateTime":1338,"relativeEntities":1339,"slug":1340,"properties":1341,"entityType":110,"verifyStatus":111,"verifyTime":1350,"verifyNote":113,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":1351,"fullTextUrl":18,"authors":1352,"publicationType":213,"publisherRelationship":1390,"citationCount":19,"citationInfo":1440,"publishDate":1443,"publishYear":1441,"citationAnalyzeStatus":377,"lastCitationAnalyze":1444,"indexDatabases":1445,"openAccess":18,"references":18,"isForceReanalyzing":271},"ef8478f5-9934-4686-8115-95d73d55f682","2024-01-12T10:16:37.164+00:00","2026-07-21T23:10:17.327+00:00",[],"A-consistently-coupled-multiscale-mechanical-electrochemical-battery-model-with-particle-interaction-and-its-validation",{"title":1342,"gsPaper":1344,"references":1346,"doi":1348},{"EN":1343},"A consistently coupled multiscale mechanical–electrochemical battery model with particle interaction and its validation",{"VOID":1345},"[\"5646372171789912374\"]",{"VOID":1347},"Baker, 2016, Thermodynamics, stress, and Stefan–Maxwell diffusion in solids: application to small-strain materials used in commercial lithium-ion batteries, J. Solid State Electrochem., 20, 163, 10.1007\u002Fs10008-015-3012-7\nBenveniste, 1987, A new approach to the application of Mori-Tanaka's theory in composite materials, Mech. Mater., 6, 147, 10.1016\u002F0167-6636(87)90005-6\nBhandakkar, 2010, Cohesive modeling of crack nucleation under diffusion induced stresses in a thin strip: implications on the critical size for flaw tolerant battery electrodes, Int. J. Solids Struct., 47, 1424, 10.1016\u002Fj.ijsolstr.2010.02.001\nBhandakkar, 2011, Cohesive modeling of crack nucleation in a cylindrical electrode under axisymmetric diffusion induced stresses, Int. J. Solids Struct., 48, 2304, 10.1016\u002Fj.ijsolstr.2011.04.005\nBohn, 2013, A model for lithium diffusion and stress generation in an intercalation storage particle with phase change, J. Electrochem. Soc., 160, A1638, 10.1149\u002F2.011310jes\nChristensen, 2006, Stress generation and fracture in lithium insertion materials, J. Solid State Electrochem., 10, 293, 10.1007\u002Fs10008-006-0095-1\nColclasure, 2010, Thermodynamically consistent modeling of elementary electrochemistry in lithium-ion batteries, Electrochim. Acta, 55, 8960, 10.1016\u002Fj.electacta.2010.08.018\nDai, 2014, Simulation and analysis of stress in a Li-ion battery with a blended LiMn2O4 and LiNi0.8Co0.15Al0.05O2 cathode, J. Power Sources, 247, 365, 10.1016\u002Fj.jpowsour.2013.08.113\nDeshpande, 2010, Modeling diffusion-induced stress in nanowire electrode structures, J. Power Sources, 195, 5081, 10.1016\u002Fj.jpowsour.2010.02.021\nDoyle, 1993, Modeling of galvanostatic charge and discharge of the lithium polymer insertion cell, J. Electrochem. Soc., 140, 1526, 10.1149\u002F1.2221597\nHill, 1965, A self-consistent mechanics of composite materials, J. Mech. Phys. Solids, 13, 213, 10.1016\u002F0022-5096(65)90010-4\nJia, 2016, Analytical model on stress-regulated lithiation kinetics and fracture of Si-C yolk-shell anodes for lithium-ion batteries, J Electrochem. Soc., 163, A940, 10.1149\u002F2.0601606jes\nKarthikeyan, 2008, Thermodynamic model development for lithium intercalation electrodes, J. Power Sources, 185, 1398, 10.1016\u002Fj.jpowsour.2008.07.077\nKim, 2016, Electrochemically driven mechanical energy harvesting, Nat. Commun., 7, 10146, 10.1038\u002Fncomms10146\nLatz, 2013, Thermodynamic derivation of a Butler-Volmer model for intercalation in Li-ion batteries, Electrochim. Acta, 110, 358, 10.1016\u002Fj.electacta.2013.06.043\nLeung, 2014, Real-time displacement and strain mappings of lithium-ion batteries using three-dimensional digital image correlation, J. Power Sources, 271, 82, 10.1016\u002Fj.jpowsour.2014.07.184\nLiu, 2017, Intergranular cracking as a major cause of long-term capacity fading of layered cathodes, Nano Lett., 17, 3452, 10.1021\u002Facs.nanolett.7b00379\nMendoza, 2016, Mechanical and electrochemical response of a LiCoO2 cathode using reconstructed microstructures, Electrochim. Acta, 190, 1, 10.1016\u002Fj.electacta.2015.12.224\nMonroe, 2005, The impact of elastic deformation on deposition kinetics at lithium\u002Fpolymer interfaces, J. Electrochem. Soc., 152, A396, 10.1149\u002F1.1850854\nMori, 1973, Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metallurg., 21, 571, 10.1016\u002F0001-6160(73)90064-3\nNewman, 1991\nPenta, 2015, Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study, Comput. Vis. Sci., 17, 185, 10.1007\u002Fs00791-015-0257-8\nPinho-da-Cruz, 2009, Asymptotic homogenisation in linear elasticity. Part I : mathematical formulation and finite element modelling, Comput. Mater. Sci., 45, 1073, 10.1016\u002Fj.commatsci.2009.02.025\nPurkayastha, 2013, A parameter study of intercalation of lithium into storage particles in a lithium-ion battery, Comput. Mater. Sci., 80, 2, 10.1016\u002Fj.commatsci.2012.11.050\nPurkayastha, 2012, An integrated 2-D model of a lithium ion battery: the effect of material parameters and morphology on storage particle stress, Comput. Mech., 50, 209, 10.1007\u002Fs00466-012-0724-8\nRieger, 2016, Strain propagation in lithium-ion batteries from the crystal structure to the electrode level, J. Electrochem. Soc., 163, A1595, 10.1149\u002F2.0431608jes\nRoberts, 2000, Elastic properties of model porous ceramics, J. Am. Ceram. Soc., 83, 3041, 10.1111\u002Fj.1151-2916.2000.tb01680.x\nRoberts, 2014, A framework for three-dimensional mesoscale modeling of anisotropic swelling and mechanical deformation in lithium-ion electrodes, J. Electrochem. Soc., 161, F3052, 10.1149\u002F2.0081411jes\nShabana, 2008, Numerical evaluation of the thermomechanical effective properties of a functionally graded material using the homogenization method, Int. J. Solids Struct., 45, 3494, 10.1016\u002Fj.ijsolstr.2008.02.012\nTerada, 2010, A method of two-scale thermo-mechanical analysis for porous solids with micro-scale heat transfer, Comput. Mech., 46, 269, 10.1007\u002Fs00466-009-0400-9\nVel, 2010, Multiscale thermoelastic analysis of random heterogeneous materials: Part I: microstructure characterization and homogenization of material properties, Comput. Mater. Sci., 48, 22, 10.1016\u002Fj.commatsci.2009.11.015\nWan, 2017, Continuum level transport and electro-chemo-mechanics coupling—solid oxide fuel cells and lithium ion batteries, 161\nWu, 2016, Mechanical-electrochemical modeling of agglomerate particles in lithium-ion battery electrodes, J. Electrochem. Soc., 163, A3131, 10.1149\u002F2.1331614jes\nWu, 2017, Mechanical modeling of particles with active core-shell structures for lithium-ion battery electrodes, J. Phys. Chem. C, 121, 19022, 10.1021\u002Facs.jpcc.7b05096\nXu, 2016, Computational analysis of chemomechanical behaviors of composite electrodes in Li-ion batteries, J. Mater. Res., 31, 2715, 10.1557\u002Fjmr.2016.302\nXu, 2016, Mechanical interactions regulated kinetics and morphology of composite electrodes in Li-ion batteries, Extreme Mech. Lett., 8, 13, 10.1016\u002Fj.eml.2015.10.004\nZhang, 2006, A new kinetic equation for intercalation electrodes, J. Electrochem. Soc., 153, A301, 10.1149\u002F1.2142287\nZhang, 2007, Numerical simulation of intercalation-induced stress in li-ion battery electrode particles, J. Electrochem. Soc., 154, A910, 10.1149\u002F1.2759840\nZhao, 2010, Fracture of electrodes in lithium-ion batteries caused by fast charging, J. Appl. Phys., 108, 10.1063\u002F1.3492617\nZhao, 2011, Inelastic hosts as electrodes for high-capacity lithium-ion batteries, J. Appl. Phys., 109, 10.1063\u002F1.3525990\nZhao, 2012, Concurrent reaction and plasticity during initial lithiation of crystalline silicon in lithium-ion batteries, J. Electrochem. Soc., 159, A238, 10.1149\u002F2.020203jes",{"VOID":1349},"10.1016\u002Fj.jmps.2018.12.005","2024-06-24T00:31:23.601+00:00","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0022509618309141",[1353,1373],{"id":1354,"sortIndex":19,"researcher":18,"roles":1355,"affiliations":1356,"properties":1368},"1178d256-2a98-431d-a646-97d4676b3717",[119],[1357],{"id":1358,"sortIndex":19,"affiliation":1359,"properties":1365},"06f8935c-7d57-41c6-addc-a0a7c4be9c35",{"id":1358,"createTime":18,"updateTime":18,"relativeEntities":1360,"slug":18,"properties":1361,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1364,"statistic":18},[],{"title":1362},{"EN":1363},"Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, United States",[],{"title":1366},{"VI":1367},"Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA",{"title":1369,"gsAuthor":1371},{"VI":1370},"Bin Wu",{"VOID":1372},"[\"g66QiToAAAAJ\"]",{"id":1374,"sortIndex":131,"researcher":18,"roles":1375,"affiliations":1376,"properties":1385},"8748c02b-6750-454e-ade4-fde0a74a04b8",[119],[1377],{"id":1358,"sortIndex":19,"affiliation":1378,"properties":1383},{"id":1358,"createTime":18,"updateTime":18,"relativeEntities":1379,"slug":18,"properties":1380,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1382,"statistic":18},[],{"title":1381},{"EN":1363},[],{"title":1384},{"VI":1367},{"title":1386,"gsAuthor":1388},{"VI":1387},"Wei Lu",{"VOID":1389},"[\"CbrY27IAAAAJ\"]",{"url":1351,"publisher":1391,"properties":1435},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1392,"slug":10,"properties":1393,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":1396,"manageAffiliations":1409,"indexDatabases":1420,"url":18,"thumbnailPath":18,"statistic":18,"gsStatistic":18,"type":18,"analyzePriority":18},[],{"issn":1394,"title":1395},{"VOID":13},{"EN":15},[1397,1401,1405],{"id":22,"createTime":18,"updateTime":18,"relativeEntities":1398,"label":1399,"description":1400,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":25},{},{"id":28,"createTime":18,"updateTime":18,"relativeEntities":1402,"label":1403,"description":1404,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":31},{},{"id":34,"createTime":18,"updateTime":18,"relativeEntities":1406,"label":1407,"description":1408,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":37},{},[1410,1415],{"id":41,"createTime":18,"updateTime":18,"relativeEntities":1411,"slug":18,"properties":1412,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1414,"statistic":18},[],{"title":1413},{"EN":45},[],{"id":48,"createTime":18,"updateTime":18,"relativeEntities":1416,"slug":18,"properties":1417,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1419,"statistic":18},[],{"title":1418},{"EN":52},[],[1421,1428],{"id":56,"indexDatabase":1422,"url":69,"indexYears":18,"academicFieldIds":1427,"indexDatabaseRanking":18},{"id":58,"createTime":18,"updateTime":18,"relativeEntities":1423,"label":1424,"description":1425,"key":65,"publicationTags":1426,"standard":18},[],{"EN":61,"VI":61},{"EN":63,"VI":64},[67,68],[71,72,73],{"id":75,"indexDatabase":1429,"url":86,"indexYears":87,"academicFieldIds":1434,"indexDatabaseRanking":92},{"id":77,"createTime":18,"updateTime":18,"relativeEntities":1430,"label":1431,"description":1432,"key":83,"publicationTags":1433,"standard":18},[],{"EN":80,"VI":80},{"EN":80,"VI":82},[85],[89,90,91],{"pages":1436,"volume":1438},{"VOID":1437},"89-111",{"VOID":1439},"125",{"total":19,"publishYear":1441,"statisticByYear":1442},2019,{},"2019-04-01","2026-07-21T23:10:17.326+00:00",[67,92],{"id":1447,"createTime":1448,"updateTime":1449,"relativeEntities":1450,"slug":1451,"properties":1452,"entityType":110,"verifyStatus":111,"verifyTime":1461,"verifyNote":113,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":1462,"fullTextUrl":18,"authors":1463,"publicationType":213,"publisherRelationship":1479,"citationCount":19,"citationInfo":1529,"publishDate":1532,"publishYear":1530,"citationAnalyzeStatus":17,"lastCitationAnalyze":1533,"indexDatabases":1534,"openAccess":18,"references":18,"isForceReanalyzing":271},"3614bb01-d527-46c2-8115-efae0dc94f2e","2024-01-11T22:54:11.481+00:00","2026-07-21T09:45:27.769+00:00",[],"Crack-arrest-in-elastic-sheets",{"title":1453,"gsPaper":1455,"references":1457,"doi":1459},{"EN":1454},"Crack arrest in elastic sheets",{"VOID":1456},"[\"8389302088709150931\"]",{"VOID":1458},"Andersson, 1972, J. Mech. Phys. Solids, 20, 33, 10.1016\u002F0022-5096(72)90022-1\nBergkvist, 1973, J. Mech. Phys. Solids, 21, 229, 10.1016\u002F0022-5096(73)90022-7\nBergkvist, 1974, Engng. Fracture Mech., 6, 621, 10.1016\u002F0013-7944(74)90060-5\nBradley, 1969, Exp. Mech., 10, 106, 10.1007\u002FBF02325114\nBroberg, 1964, J. Appl. Mech., 31, 546, 10.1115\u002F1.3629676\nBroberg, 1967, Recent Progress in Applied Mechanics: The Folke Odqvist Volume, 125\nClark, 1966, Exp. Mech., 7, 321, 10.1007\u002FBF02327512\nDulaney, 1960, J. Appl. Phys., 31, 2233, 10.1063\u002F1.1735529\nErdogan, 1968, Fracture, Vol. 2: Mathematical Fundamentals\nEshelby, 1969, J. Mech. Phys. Solids, 17, 177, 10.1016\u002F0022-5096(69)90032-5\nFreund, 1972, J. Mech. Phys. Solids, 20, 129, 10.1016\u002F0022-5096(72)90006-3\nGreen, 1972, Measurement of the Dynamic Fracture Toughness of Polymethylmethacrylate by High-Speed Photography\nGreen, 1974, Engng. Fracture Mech., 6, 71, 10.1016\u002F0013-7944(74)90047-2\nHarris, 1972, Engng. Fracture Mech., 4, 277, 10.1016\u002F0013-7944(72)90042-2\nHoagland, 1972, Metall. Trans., 3, 123, 10.1007\u002FBF02680591\nPaxson, 1972, An Experimental Investigation of the Velocity Characteristics of a Fixed Boundary Model\nPaxson, 1974\nRice, 1968, J. Appl. Mech., 35, 379, 10.1115\u002F1.3601206\nTsai, 1973, Int. J. Solids Struct., 9, 625, 10.1016\u002F0020-7683(73)90075-9\nWilliams, 1968, Polymer Eng. and Sci., 8, 130, 10.1002\u002Fpen.760080209\nWolock, 1964, Fracture Processes in Polymeric Solids, 235",{"VOID":1460},"10.1016\u002F0022-5096(74)90030-1","2024-06-23T23:53:17.990+00:00","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002F0022509674900301",[1464],{"id":1465,"sortIndex":19,"researcher":18,"roles":1466,"affiliations":1467,"properties":1476},"c116b207-57e9-48b8-ad01-c5ec9a0836cd",[119],[1468],{"id":1469,"sortIndex":19,"affiliation":1470,"properties":18},"0b4403ab-1658-41c9-94d7-2b5317af4fff",{"id":1469,"createTime":18,"updateTime":18,"relativeEntities":1471,"slug":18,"properties":1472,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1475,"statistic":18},[],{"title":1473},{"VI":1474},"Division of Solid Mechanics, Lund Institute of Technology, Lund, Sweden",[],{"title":1477},{"VI":1478},"H. Bergkvist",{"url":1462,"publisher":1480,"properties":1524},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1481,"slug":10,"properties":1482,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":1485,"manageAffiliations":1498,"indexDatabases":1509,"url":18,"thumbnailPath":18,"statistic":18,"gsStatistic":18,"type":18,"analyzePriority":18},[],{"issn":1483,"title":1484},{"VOID":13},{"EN":15},[1486,1490,1494],{"id":22,"createTime":18,"updateTime":18,"relativeEntities":1487,"label":1488,"description":1489,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":25},{},{"id":28,"createTime":18,"updateTime":18,"relativeEntities":1491,"label":1492,"description":1493,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":31},{},{"id":34,"createTime":18,"updateTime":18,"relativeEntities":1495,"label":1496,"description":1497,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":37},{},[1499,1504],{"id":41,"createTime":18,"updateTime":18,"relativeEntities":1500,"slug":18,"properties":1501,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1503,"statistic":18},[],{"title":1502},{"EN":45},[],{"id":48,"createTime":18,"updateTime":18,"relativeEntities":1505,"slug":18,"properties":1506,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1508,"statistic":18},[],{"title":1507},{"EN":52},[],[1510,1517],{"id":56,"indexDatabase":1511,"url":69,"indexYears":18,"academicFieldIds":1516,"indexDatabaseRanking":18},{"id":58,"createTime":18,"updateTime":18,"relativeEntities":1512,"label":1513,"description":1514,"key":65,"publicationTags":1515,"standard":18},[],{"EN":61,"VI":61},{"EN":63,"VI":64},[67,68],[71,72,73],{"id":75,"indexDatabase":1518,"url":86,"indexYears":87,"academicFieldIds":1523,"indexDatabaseRanking":92},{"id":77,"createTime":18,"updateTime":18,"relativeEntities":1519,"label":1520,"description":1521,"key":83,"publicationTags":1522,"standard":18},[],{"EN":80,"VI":80},{"EN":80,"VI":82},[85],[89,90,91],{"pages":1525,"volume":1527},{"VOID":1526},"491-502",{"VOID":1528},"22",{"total":19,"publishYear":1530,"statisticByYear":1531},1974,{},"1974-12-01","2026-07-21T09:45:27.768+00:00",[67,92],{"id":1536,"createTime":1537,"updateTime":1538,"relativeEntities":1539,"slug":1540,"properties":1541,"entityType":110,"verifyStatus":111,"verifyTime":1548,"verifyNote":113,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":1549,"fullTextUrl":18,"authors":1550,"publicationType":213,"publisherRelationship":1600,"citationCount":1650,"citationInfo":1651,"publishDate":1654,"publishYear":1652,"citationAnalyzeStatus":17,"lastCitationAnalyze":1655,"indexDatabases":1656,"openAccess":18,"references":1657,"isForceReanalyzing":271},"811e846a-ef0c-4c26-802d-a05bafa336a0","2024-02-07T08:11:27.198+00:00","2026-07-20T12:38:46.454+00:00",[],"Time-and-strain-rate-dependent-mechanical-behavior-of-individual-polymeric-nanofibers",{"title":1542,"gsPaper":1544,"doi":1546},{"EN":1543},"Time and strain rate dependent mechanical behavior of individual polymeric nanofibers",{"VOID":1545},"[\"11093828179130267185\"]",{"VOID":1547},"10.1016\u002Fj.jmps.2013.10.006","2024-04-30T05:08:06.021+00:00","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0022509613002147",[1551,1568,1585],{"id":1552,"sortIndex":19,"researcher":18,"roles":1553,"affiliations":1554,"properties":1563},"a93b650d-137a-49b7-8434-4438f3393a18",[119],[1555],{"id":1556,"sortIndex":19,"affiliation":1557,"properties":18},"074de360-ad58-42ee-a56d-78f3f9299313",{"id":1556,"createTime":18,"updateTime":18,"relativeEntities":1558,"slug":18,"properties":1559,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1562,"statistic":18},[],{"title":1560},{"EN":1561},"Aerospace Engineering, Texas A&M University, College Station, TX, 77843, USA",[],{"title":1564,"gsAuthor":1566},{"VI":1565},"Mohammad Naraghi",{"VOID":1567},"[\"aLn_3KgAAAAJ\"]",{"id":1569,"sortIndex":131,"researcher":18,"roles":1570,"affiliations":1571,"properties":1580},"6b806440-483c-49ed-ac5f-3c7da1aa2976",[119],[1572],{"id":1573,"sortIndex":19,"affiliation":1574,"properties":18},"dd8bd013-cdc5-4c08-b083-c116bba649ce",{"id":1573,"createTime":18,"updateTime":18,"relativeEntities":1575,"slug":18,"properties":1576,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1579,"statistic":18},[],{"title":1577},{"VI":1578},"Aerospace Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA",[],{"title":1581,"gsAuthor":1583},{"VI":1582},"Pavan V. Kolluru",{"VOID":1584},"[\"2cH6t8sAAAAJ\"]",{"id":1586,"sortIndex":160,"researcher":18,"roles":1587,"affiliations":1588,"properties":1595},"88784f24-e105-403a-9fe9-f14ce226f27d",[119],[1589],{"id":1573,"sortIndex":19,"affiliation":1590,"properties":18},{"id":1573,"createTime":18,"updateTime":18,"relativeEntities":1591,"slug":18,"properties":1592,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1594,"statistic":18},[],{"title":1593},{"VI":1578},[],{"title":1596,"gsAuthor":1598},{"VI":1597},"Ioannis Chasiotis",{"VOID":1599},"[\"WVBu4hIAAAAJ\"]",{"url":1549,"publisher":1601,"properties":1645},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1602,"slug":10,"properties":1603,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":1606,"manageAffiliations":1619,"indexDatabases":1630,"url":18,"thumbnailPath":18,"statistic":18,"gsStatistic":18,"type":18,"analyzePriority":18},[],{"issn":1604,"title":1605},{"VOID":13},{"EN":15},[1607,1611,1615],{"id":22,"createTime":18,"updateTime":18,"relativeEntities":1608,"label":1609,"description":1610,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":25},{},{"id":28,"createTime":18,"updateTime":18,"relativeEntities":1612,"label":1613,"description":1614,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":31},{},{"id":34,"createTime":18,"updateTime":18,"relativeEntities":1616,"label":1617,"description":1618,"parentId":18,"standard":18,"scholarHubFieldId":18},[],{"EN":37},{},[1620,1625],{"id":41,"createTime":18,"updateTime":18,"relativeEntities":1621,"slug":18,"properties":1622,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1624,"statistic":18},[],{"title":1623},{"EN":45},[],{"id":48,"createTime":18,"updateTime":18,"relativeEntities":1626,"slug":18,"properties":1627,"entityType":18,"verifyStatus":18,"verifyTime":18,"verifyNote":18,"languages":18,"translateLanguages":18,"viewCount":18,"url":18,"parentIds":1629,"statistic":18},[],{"title":1628},{"EN":52},[],[1631,1638],{"id":56,"indexDatabase":1632,"url":69,"indexYears":18,"academicFieldIds":1637,"indexDatabaseRanking":18},{"id":58,"createTime":18,"updateTime":18,"relativeEntities":1633,"label":1634,"description":1635,"key":65,"publicationTags":1636,"standard":18},[],{"EN":61,"VI":61},{"EN":63,"VI":64},[67,68],[71,72,73],{"id":75,"indexDatabase":1639,"url":86,"indexYears":87,"academicFieldIds":1644,"indexDatabaseRanking":92},{"id":77,"createTime":18,"updateTime":18,"relativeEntities":1640,"label":1641,"description":1642,"key":83,"publicationTags":1643,"standard":18},[],{"EN":80,"VI":80},{"EN":80,"VI":82},[85],[89,90,91],{"pages":1646,"volume":1648},{"VOID":1647},"257-275",{"VOID":1649},"62",43,{"total":1650,"publishYear":1652,"statisticByYear":1653},2014,{"2014":181,"2015":160,"2016":371,"2017":131,"2018":372,"2019":199,"2020":371,"2021":199,"2022":131,"2023":160,"2024":373,"2025":160},"2014-01-01","2026-07-20T12:38:46.453+00:00",[67,92],[1658,1664,1667,1674,1681,1684,1691,1698,1705,1711,1717,1724,1731,1738,1745,1748,1751,1758,1763,1771,1778,1783,1787],{"id":1659,"text":1660,"url":1661,"identifiers":1662},"91bb4d30-92bb-40ce-964b-71a165b20481","Arruda, 1993, Evolution of plastic anisotropy in amorphous polymers during finite straining, Int. J. Plasticity, 9, 697, 10.1016\u002F0749-6419(93)90034-N","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002F074964199390034N",{"doi":1663},"10.1016\u002F0749-6419(93)90034-n",{"id":18,"text":1665,"url":18,"identifiers":1666},"Beldica, C.E., Hilton, H., 1999. Analytical and numerical simulations of experimental determinations of linear viscoelastic constitutive relations. In: Proceedings of the Twelfth International Conference on Composite Materials (ICCM-12) CD-ROM Volume, Paris.",{},{"id":18,"text":1668,"url":1669,"identifiers":1670},"Dupaix, 2007, Constitutive modeling of the finite strain behavior of amorphous polymers in and above the glass transition, Mech. Mater., 39, 39, 10.1016\u002Fj.mechmat.2006.02.006","https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.mechmat.2006.02.006",{"mag":1671,"openalex":1672,"doi":1673},"1988742152","W1988742152","10.1016\u002Fj.mechmat.2006.02.006",{"id":18,"text":1675,"url":1676,"identifiers":1677},"Ellison, 2005, Impacts of polystyrene molecular weight and modification to the repeat unit structure on the glass transition-nanoconfinement effect and the cooperativity length scale, Macromolecules, 38, 1767, 10.1021\u002Fma047846y","https:\u002F\u002Fdoi.org\u002F10.1021\u002Fma047846y",{"mag":1678,"openalex":1679,"doi":1680},"1983067422","W1983067422","10.1021\u002Fma047846y",{"id":18,"text":1682,"url":18,"identifiers":1683},"Findley, 1989",{},{"id":18,"text":1685,"url":1686,"identifiers":1687},"Haward, 2007, Strain hardening of high density polyethylene, J. Polym. Sci. Part B: Polym. Phys., 45, 1090, 10.1002\u002Fpolb.21123","https:\u002F\u002Fdoi.org\u002F10.1002\u002Fpolb.21123",{"mag":1688,"openalex":1689,"doi":1690},"2110246544","W2110246544","10.1002\u002Fpolb.21123",{"id":18,"text":1692,"url":1693,"identifiers":1694},"Haward, 1993, Strain hardening of thermoplastics, Macromolecules, 26, 5860, 10.1021\u002Fma00074a006","https:\u002F\u002Fdoi.org\u002F10.1021\u002Fma00074a006",{"mag":1695,"openalex":1696,"doi":1697},"2094489484","W2094489484","10.1021\u002Fma00074a006",{"id":18,"text":1699,"url":1700,"identifiers":1701},"Haward, 1968, The use of a mathematical model to describe isothermal stress–strain curves in glassy thermoplastics, Proc. R. Soc. A, 302, 453, 10.1098\u002Frspa.1968.0029","https:\u002F\u002Fdoi.org\u002F10.1098\u002Frspa.1968.0029",{"mag":1702,"openalex":1703,"doi":1704},"2008360998","W2008360998","10.1098\u002Frspa.1968.0029",{"id":1706,"text":1707,"url":1708,"identifiers":1709},"976380bf-db8d-4a2e-bd35-647f4f5d8e9e","Jonnalagadda, 2010, Experimental investigation of strain rate dependence in nanocrystalline Pt films, Exp. Mech., 50, 25, 10.1007\u002Fs11340-008-9212-7","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11340-008-9212-7",{"doi":1710},"10.1007\u002Fs11340-008-9212-7",{"id":1712,"text":1713,"url":1714,"identifiers":1715},"d2747be3-b363-4600-8f3a-8e6fb4c12ffd","Jin, 2009, Three-dimensional numerical modeling of the damage mechanism of amorphous polymer network, Comp. Mater. Sci., 46, 632, 10.1016\u002Fj.commatsci.2009.06.019","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0927025609002730",{"doi":1716},"10.1016\u002Fj.commatsci.2009.06.019",{"id":18,"text":1718,"url":1719,"identifiers":1720},"Keddie, 1994, Size-dependent depression of the glass transition temperature in polymer films, Europhys. Lett., 7, 59, 10.1209\u002F0295-5075\u002F27\u002F1\u002F011","https:\u002F\u002Fdoi.org\u002F10.1209\u002F0295-5075\u002F27\u002F1\u002F011",{"mag":1721,"openalex":1722,"doi":1723},"2050027062","W2050027062","10.1209\u002F0295-5075\u002F27\u002F1\u002F011",{"id":18,"text":1725,"url":1726,"identifiers":1727},"Michler, 2006, Modeling of thin layer yielding in polymers, J. Macromol. Sci. Part B: Phys., 45, 727, 10.1080\u002F00222340600890505","https:\u002F\u002Fdoi.org\u002F10.1080\u002F00222340600890505",{"mag":1728,"openalex":1729,"doi":1730},"1987294294","W1987294294","10.1080\u002F00222340600890505",{"id":18,"text":1732,"url":1733,"identifiers":1734},"Naraghi, 2011, Molecular orientation and mechanical property size effects in electrospun polyacrylonitrile nanofibers, Polymer, 52, 1612, 10.1016\u002Fj.polymer.2011.02.013","https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.polymer.2011.02.013",{"mag":1735,"openalex":1736,"doi":1737},"2003034175","W2003034175","10.1016\u002Fj.polymer.2011.02.013",{"id":18,"text":1739,"url":1740,"identifiers":1741},"Naraghi, 2009, Optimization of comb-driven devices for mechanical testing of polymeric nanofibers subjected to large deformations, J. Microelectromech. Syst., 18, 1032, 10.1109\u002FJMEMS.2009.2026944","https:\u002F\u002Fdoi.org\u002F10.1109\u002Fjmems.2009.2026944",{"mag":1742,"openalex":1743,"doi":1744},"2158863385","W2158863385","10.1109\u002Fjmems.2009.2026944",{"id":424,"text":1746,"url":426,"identifiers":1747},"Naraghi, 2007, Mechanical deformation and failure of electrospun polyacrylonitrile nanofibers as a function of strain rate, Appl. Phys. Lett., 91, 1",{"doi":428},{"id":424,"text":1749,"url":426,"identifiers":1750},"Naraghi, 2007, Novel method for mechanical characterization of polymeric nanofibers, Rev. Sci. Instrum., 78, 1",{"doi":428},{"id":18,"text":1752,"url":1753,"identifiers":1754},"O’Connell, 2008, Creep behavior of ultra-thin polymer films, J. Polym. Sci. Part B: Polym. Phys., 46, 1952, 10.1002\u002Fpolb.21531","https:\u002F\u002Fdoi.org\u002F10.1002\u002Fpolb.21531",{"mag":1755,"openalex":1756,"doi":1757},"1973317919","W1973317919","10.1002\u002Fpolb.21531",{"id":18,"text":1759,"url":1760,"identifiers":1761},"O’Connell, 2005, Rheological measurements of the thermoviscoelastic response of ultra thin polymer films, Science, 307, 1760, 10.1126\u002Fscience.1105658","http:\u002F\u002Fdx.doi.org\u002F10.1126\u002Fscience.1105658",{"doi":1762},"10.1126\u002Fscience.1105658",{"id":18,"text":1764,"url":1765,"identifiers":1766},"Priestley, 2005, Structural relaxation of polymer glasses at surfaces, interfaces and in between, Science, 309, 456, 10.1126\u002Fscience.1112217","https:\u002F\u002Fdoi.org\u002F10.1126\u002Fscience.1112217",{"mag":1767,"openalex":1768,"pm":1769,"doi":1770},"2038340187","W2038340187","16020732","10.1126\u002Fscience.1112217",{"id":18,"text":1772,"url":1773,"identifiers":1774},"Roth, 2007, Eliminating the enhanced mobility at the free surface of polystyrene: fluorescence studies of the glass transition temperature in thin bilayer films of immiscible polymers, Macromolecules, 40, 2568, 10.1021\u002Fma062864w","https:\u002F\u002Fdoi.org\u002F10.1021\u002Fma062864w",{"mag":1775,"openalex":1776,"doi":1777},"2162911011","W2162911011","10.1021\u002Fma062864w",{"id":18,"text":1779,"url":1780,"identifiers":1781},"Shelby, 1998, The effect of molecular orientation on the physical ageing of amorphous polymers – dilatometric and mechanical creep behavior, Polymer, 39, 6767, 10.1016\u002FS0032-3861(98)00143-8","http:\u002F\u002Fdx.doi.org\u002F10.1016\u002Fs0032-3861(98)00143-8",{"doi":1782},"10.1016\u002Fs0032-3861(98)00143-8",{"id":18,"text":1784,"url":18,"identifiers":1785},"Spathis, 1997, Theory for the plastic deformation of glassy polymers, J. Mater. Sci., 32, 1943, 10.1023\u002FA:1018533613296",{"doi":1786},"10.1023\u002FA:1018533613296",{"id":424,"text":1788,"url":426,"identifiers":1789},"Theocaris, 1970, Transient creep behavior of crosslinked polymers in bulk deformation, Colloid Polym. Sci., 236, 59",{"doi":428}]