Effective properties of centro-symmetric micropolar composites with non-uniform imperfect contact conditions

European Journal of Mechanics - A/Solids - Tập 101 - Trang 105038 - 2023
V. Yanes1, Y. Espinosa-Almeyda2, R. Rodríguez-Ramos3,4, C.F. Sánchez-Valdés2, F.J. Sabina5, F.J. Montans1,6
1Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Pza. Cardenal Cisneros, Madrid, 28040, Madrid, Spain
2Instituto de Ingeniería y Tecnología, Universidad Autónoma de Ciudad Juárez, Av. Del Charro 450 Norte, Cd. Juárez, 32310, Chihuahua, Mexico
3Facultad de Matemática y Computación, Universidad de La Habana, San Lázaro y L, Vedado, 10400, La Habana, Cuba
4PPG-MCCT, Universidade Federal Fluminense, Av. dos Trabalhadores 420, Vila Sta. Cecília, Volta Redonda, 27255-125, RJ, Brazil
5Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de Mexico, Alcaldía Alvaro Obregón, Apartado Postal 20-126, 01000, CDMX, Mexico
6Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, Florida, 32611, FL, USA

Tài liệu tham khảo

Achenbach, 1989, Effect of interfacial zone on mechanical behavior and failure of fiber-reinforced composites, J. Mech. Phys. Solids., 37, 381, 10.1016/0022-5096(89)90005-7 Amraei, 2019, Effect of interphase zone on the overall elastic properties of nanoparticle-reinforced polymer nanocomposites, J. Compos. Mater., 53, 1261, 10.1177/0021998318798443 Atroshchenko, 2017, Micro-structured materials: Inhomogeneities and imperfect interfaces in plane micropolar elasticity, a boundary element approach, Eng. Anal. Bound. Elem., 83, 195, 10.1016/j.enganabound.2017.07.023 Auer, 2022, Biomechanical assessment of the design and efficiency of occupational exoskeletons with the AnyBody Modeling System, Z. Arb. Wiss., 76, 440, 10.1007/s41449-022-00336-4 Bakhvalov, 1989 Baran, 2017, A review on the mechanical modeling of composite manufacturing processes, Arch. Computat. Methods, 24, 365, 10.1007/s11831-016-9167-2 Benveniste, 2006, A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media, J. Mech. Phys. Solids, 54, 708, 10.1016/j.jmps.2005.10.009 Benveniste, 2001, Imperfect soft and stiff interfaces in two-dimensional elasticity, Mech. Mater., 33, 309, 10.1016/S0167-6636(01)00055-2 Brito-Santana, 2019, Delamination influence on elastic properties of laminated composites, Acta Mech., 230, 821, 10.1007/s00707-018-2319-8 Brito-Santana, 2018, Effective elastic properties of layered composites considering non-uniform imperfect adhesion, Appl. Math. Model., 59, 183, 10.1016/j.apm.2018.01.009 Bui, 1999, Imperfect interlaminar interfaces in laminated composites: bending, buckling and transient reponses, Compos. Sci. Technol., 59, 2269, 10.1016/S0266-3538(99)00081-0 Cheng, 1996, Theory for multilayered anisotropic plates with weakened interfaces, J. Appl. Mech., 63, 1019, 10.1115/1.2787221 Cherkaev, 2018 Dong, 2014, Cosserat interphase models for elasticity with application to the interphase bonding a spherical inclusion to an infinite matrix, Int. J. Solids Struct., 51, 46, 10.1016/j.ijsolstr.2013.10.020 Dong, 2015, A nonlinear cosserat interphase model for residual stresses in an inclusion and the interphase that bonds it to an infinite matrix, Int. J. Solids Struct., 62, 186, 10.1016/j.ijsolstr.2015.02.028 Duan, 2005, Stress concentration tensors of inhomogeneities with interface effects, Mech. Mater., 37, 723, 10.1016/j.mechmat.2004.07.004 Duong, 2011, A layerwise finite element for multilayers with imperfect interfaces, Compos. Struct., 93, 3262, 10.1016/j.compstruct.2011.05.001 Ensan, 2003, A macroscopic constitutive law for elasto-plastic multilayered materials with imperfect interfaces: application to reinforced soils, Comput. Geotech., 30, 339, 10.1016/S0266-352X(03)00007-7 Eringen, 1999 Espinosa-Almeyda, 2023, Effect of imperfect interface on the effective properties of elastic micropolar multilaminated nanostructures, Z Angew Math Mech., 00 Forest, 2001, Asymptotic analysis of heterogeneous Cosserat media, Int. J. Solids Struct., 38, 4585, 10.1016/S0020-7683(00)00295-X Gharahi, 2018, Effective elastic properties of plane micropolar nano-composites with interface flexural effects, Int. J. Mech. Sci., 149, 84, 10.1016/j.ijmecsci.2018.09.035 Goda, 2012, A micropolar anisotropic constitutive model of cancellous bone from discrete homogenization, J. Mech. Beh. Biomed. Mater., 16, 87, 10.1016/j.jmbbm.2012.07.012 Gorbachev, 2014, Homogenization of the equations of the cosserat theory of elasticity of inhomogeneous bodies, Mech. Solids, 49, 73, 10.3103/S0025654414010099 Guinovart-Díaz, 2016, Analysis of fibrous elastic composites with nonuniform imperfect adhesion, Acta Mech., 227, 57, 10.1007/s00707-015-1428-x Hashin, 1990, Thermoelastic properties of fiber composites with imperfect interface, Mech. Mater., 8, 333, 10.1016/0167-6636(90)90051-G Hashin, 1991, The spherical inclusion with imperfect interface, J. Appl. Mech., 58, 444, 10.1115/1.2897205 Hashin, 1991, Thermoelastic properties of particulate composites with imperfect interface, J. Mech. Phys. Solids., 39, 745, 10.1016/0022-5096(91)90023-H Hashin, 2002, Thin interphase/imperfect interface in elasticity with application to coated fiber composites, J. Mech. Phys. Solids, 50, 2509, 10.1016/S0022-5096(02)00050-9 Hassanpour, 2017, Micropolar elasticity theory: a survey of linear isotropic equations, representative notations, and experimental investigations, Math. Mech. Solids, 22, 224, 10.1177/1081286515581183 Hua, 2007, Love waves in layered graded composite structures with imperfectly bonded interface, Chinese J. Aeronaut., 20, 210, 10.1016/S1000-9361(07)60034-X Jancar, 2008, Review of the role of the interphase in the control of composite performance on micro- and nano-length scales, J. Mater. Sci., 43, 6747, 10.1007/s10853-008-2692-0 Khoroshun, 2019, Effective elastic properties of laminated composite materials with interfacial defects, Appl. Math. Model., 55, 187 Lakes, 1986, Experimental microelasticity of two porous solids, Int. J. Solids Struct., 22, 55, 10.1016/0020-7683(86)90103-4 Lebon, 2010, Asymptotic analysis of a thin interface: the case involving similar rigidity, Internat. J. Engrg. Sci., 48, 473, 10.1016/j.ijengsci.2009.12.001 Lebon, 2011, Asymptotic behavior of a hard thin linear elastic interphase: An energy approach, Int. J. Solids Struct., 48, 441, 10.1016/j.ijsolstr.2010.10.006 Librescu, 2001, A general linear theory of laminated composite shells featuring interlaminar bonding imperfections, Int. J. Solids Struct., 38, 355, 10.1016/S0020-7683(00)00263-8 López-Realpozo, 2014, Effective elastic shear stiffness of a periodic fibrous composite with non-uniform imperfect contact between the matrix and the fibers, Int. J. Solids Struct., 51, 1253, 10.1016/j.ijsolstr.2013.12.015 López-Realpozo, 2011, Transport properties in fibrous elastic rhombic composite with imperfect contact condition, Int. J. Mech. Sci., 53, 98, 10.1016/j.ijmecsci.2010.11.006 López-Realpozo, 2020, Behavior of piezoelectric layered composites with mechanical and electrical non-uniform imperfect contacts, Meccanica, 55, 125, 10.1007/s11012-019-01111-2 Loukkal, 2020, Modeling and numerical study of the influence of imperfect interface properties on the reflection coefficient for isotropic multilayered structures, Ultrasonics, 103, 10.1016/j.ultras.2020.106099 Machalická, 2018, Influence of artificial aging on structural adhesive connections for façade applications, Int. J. Adhes. Adhes., 83, 168, 10.1016/j.ijadhadh.2018.02.022 McKinney, 2022 Mills, 2002 Nairn, 2007, Numerical implementation of imperfect interfaces, Computat. Mater. Sci., 40, 525, 10.1016/j.commatsci.2007.02.010 Pascoe, 2013, Methods for the prediction of fatigue delamination growth in composites and adhesive bonds – A critical review, Eng. Fract. Mech., 112–113, 72, 10.1016/j.engfracmech.2013.10.003 Penta, 2015, Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study, Comput. Vis. Sci., 17, 185, 10.1007/s00791-015-0257-8 Penta, 2017, The asymptotic homogenization elasticity tensor properties for composites with material discontinuities, Contin. Mech. Thermodyn., 29, 187, 10.1007/s00161-016-0526-x Pobedrya, 1984 Rodríguez-Ramos, 2022, Micro-macro asymptotic approach applied to heterogeneous elastic micropolar media. Analysis of some examples, Int. J. Solids Struct., 239–240 Rubin, 2004, A cosserat shell model for interphases in elastic media, J. Mech. Phys. Solids., 52, 1023, 10.1016/j.jmps.2003.09.030 Sack, 2016, Biological tissue mechanics with fibres modelled as one-dimensional cosserat continua. Applications to cardiac tissue, Int. J. Solids Struct., 81, 84, 10.1016/j.ijsolstr.2015.11.009 Sanchez-Palencia, 1980 Serpilli, 2017, On modeling interfaces in linear micropolar composites, Math. Mech. Solids, 24, 667, 10.1177/1081286517692391 Sertse, 2017, Three-dimensional effective properties of layered composites with imperfect interfaces, Adv. Aircr. Spacecr. Sci., 4, 639 Videla, 2017, Analytical study of a circular inhomogeneity with homogeneously imperfect interface in plane micropolar elasticity, Z. Angew. Math. Mech., 97, 322, 10.1002/zamm.201500219 Yanes, 2022