Abstract

Abstract In this paper, we extend our analysis of the embedding cell method, an algorithm which has been developed for the numerical homogenization of metal-ceramic composite materials, from [W.-P. Düll, B. Hilder and G. Schneider, Analysis of the embedded cell method in 1D for the numerical homogenization of metal-ceramic composite materials, J. Appl. Anal. 24 2018, 1, 71–80]. We show the convergence of the iteration scheme of this algorithm and the coincidence of the material properties predicted by the limit with the effective material properties provided by the analytical homogenization theory for two-dimensional linear hyperelastic isotropic materials with constant shear modulus and slightly varying first Lamé parameter.

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