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
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.
composite materials, homogenized description, asymptotic method, effective moduli, calculation.
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Computational Mathematics and Mathematical Physics, 2006, 46:6, 1073–1080
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
\paper Calculation of effective moduli of composite materials
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
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Eglit M.E., Yakubenko T.A., “On effective moduli of inhomogeneous media characterized by several small parameters”, Mechanics of Solids, 46:1 (2011), 80–88
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