This article is cited 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

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.

UDC: 519.634

Received: 07.02.2006

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:6, 1073–1080

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