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Chebyshevskii Sbornik, 2020, Volume 21, Issue 3, Pages 262–271
DOI: https://doi.org/10.22405/2226-8383-2018-21-3-262-271 (Mi cheb941) 		 
This article is cited in 1 scientific paper (total in 1 paper)

HISTORY OF MATH AND APPLICATIONS

Mathematical modeling of elasticity properties in the mechanics of composite materials

I. K. Arkhipova, V. I. Abramovaa, A. E. Gvozdeva, O. V. Kuzovlevab

a Tula State Lev Tolstoy Pedagogical University (Tula)
b Russian State University of Justice (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2018-21-3-262-271
Abstract: This paper presents an overview of mathematical models that allow us to determine the effective elastic characteristics of various types of composite materials. The most well-known models are considered: virial decomposition, self-matching method, correlation approximation, and singular approximation. Models with a layered structure and matrix systems with a regular structure are considered.
Keywords: composites, mathematical models, modeling, plasticity, strength, elasticity.
Received: 11.04.2020
Accepted: 22.10.2020
Document Type: Article
UDC: 539.3
Language: Russian
Citation: I. K. Arkhipov, V. I. Abramova, A. E. Gvozdev, O. V. Kuzovleva, “Mathematical modeling of elasticity properties in the mechanics of composite materials”, Chebyshevskii Sb., 21:3 (2020), 262–271
Citation in format AMSBIB
\Bibitem{ArkAbrGvo20}
\by I.~K.~Arkhipov, V.~I.~Abramova, A.~E.~Gvozdev, O.~V.~Kuzovleva
\paper Mathematical modeling of elasticity properties in the mechanics of composite materials
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 3
\pages 262--271
\mathnet{http://mi.mathnet.ru/cheb941}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-3-262-271}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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