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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 6, Pages 1128–1136 (Mi zvmmf463)  
This article is cited in 1 scientific paper (total in 1 paper)

Calculation of effective moduli of composite materials

T. A. Yakubenko

Institute of Mechanics, Moscow State University, Michurinskii pr. 1, Moscow, 119192, Russia
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Abstract: Effective properties of composite and porous materials are determined by using an approach based on two-scale asymptotic expansions. Explicit approximate formulas are derived for the effective moduli of composite and porous materials of elongated structures. A numerical method is proposed for finding solutions to cell problems, which are used to determine “exact” effective moduli. Examples are computed for a two-dimensional porous medium with variously shaped pores and various degrees of “elongation”. The effective moduli produced by the explicit approximate formulas prove to be similar to those found by numerically solving cell problems.
Key words: composite materials, homogenized description, asymptotic method, effective moduli, calculation.
Received: 07.02.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 6, Pages 1073–1080
DOI: https://doi.org/10.1134/S0965542506060133
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: T. A. Yakubenko, “Calculation of effective moduli of composite materials”, Zh. Vychisl. Mat. Mat. Fiz., 46:6 (2006), 1128–1136; Comput. Math. Math. Phys., 46:6 (2006), 1073–1080
Citation in format AMSBIB
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\by T.~A.~Yakubenko
\paper Calculation of effective moduli of composite materials
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 6
\pages 1128--1136
\mathnet{http://mi.mathnet.ru/zvmmf463}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2285369}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 6
\pages 1073--1080
\crossref{https://doi.org/10.1134/S0965542506060133}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746109942}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:43
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