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Matematicheskoe modelirovanie, 2020, Volume 32, Number 8, Pages 119–138
DOI: https://doi.org/10.20948/mm-2020-08-08
(Mi mm4209)
 

This article is cited in 2 scientific papers (total in 2 papers)

Modeling elastic properties of composites using asymptotic averaging method with imperfect interface

A. P. Sokolov, V. N. Shchetinin, M. Yu. Kozlov

Bauman MSTU
Full-text PDF (643 kB) Citations (2)
References:
Abstract: 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.
Received: 19.11.2019
Revised: 19.11.2019
Accepted: 25.12.2019
English version:
Mathematical Models and Computer Simulations, 2021, Volume 13, Issue 2, Pages 347–359
DOI: https://doi.org/10.1134/S2070048221020150
Document Type: Article
Language: Russian
Citation: A. P. Sokolov, V. N. Shchetinin, M. Yu. Kozlov, “Modeling elastic properties of composites using asymptotic averaging method with imperfect interface”, Matem. Mod., 32:8 (2020), 119–138; Math. Models Comput. Simul., 13:2 (2021), 347–359
Citation in format AMSBIB
\Bibitem{SokSchKoz20}
\by A.~P.~Sokolov, V.~N.~Shchetinin, M.~Yu.~Kozlov
\paper Modeling elastic properties of composites using asymptotic averaging method with imperfect interface
\jour Matem. Mod.
\yr 2020
\vol 32
\issue 8
\pages 119--138
\mathnet{http://mi.mathnet.ru/mm4209}
\crossref{https://doi.org/10.20948/mm-2020-08-08}
\transl
\jour Math. Models Comput. Simul.
\yr 2021
\vol 13
\issue 2
\pages 347--359
\crossref{https://doi.org/10.1134/S2070048221020150}
Linking options:
  • https://www.mathnet.ru/eng/mm4209
  • https://www.mathnet.ru/eng/mm/v32/i8/p119
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:423
    Full-text PDF :191
    References:32
    First page:9
     
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