Geodesic
Modeling elastic properties of composites using asymptotic averaging method with imperfect interface
Matematičeskoe modelirovanie, Tome 32 (2020) no. 8, pp. 119-138

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The paper presents a modification of the asymptotic averaging method for solving the elastic properties homogenization problem for composite materials, taking into account the phases interface elasticity. The conditions of a soft imperfect interface are considered, which allow a displacements jump on phases boundary. A literature review of methods for the interface modeling in composite materials is presented. The finite element method is used for the numerical implementation of an averaging method. A model of a surface interface finite element is proposed. The numerical method of elastic properties averaging is adapted to the presence of a discontinuity in the displacement field. Application boundaries of the soft imperfect interface are estimated in terms of interphase layer properties ranges. The problem of interface parameters identification by experimental data is considered. Computational experiments are conducted for dispersed-reinforced and unidirectional composite with isotropic inclusion.
Keywords: composite materials, homogenization, asymptotic averaging method, effective properties of composites, imperfect interface, soft imperfect interface, finite element method, interface finite element, interphase layer, adhesion, parametric identification. 
@article{MM_2020_32_8_a7,
     author = {A. P. Sokolov and V. N. Shchetinin and M. Yu. Kozlov},
     title = {Modeling elastic properties of composites using asymptotic averaging method with imperfect interface},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {119--138},
     publisher = {mathdoc},
     volume = {32},
     number = {8},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2020_32_8_a7/}
}
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A. P. Sokolov; V. N. Shchetinin; M. Yu. Kozlov. Modeling elastic properties of composites using asymptotic averaging method with imperfect interface. Matematičeskoe modelirovanie, Tome 32 (2020) no. 8, pp. 119-138. http://geodesic.mathdoc.fr/item/MM_2020_32_8_a7/