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Analysis of the embedded cell method in 1D for the numerical homogenization of metal-ceramic composite materials. (English) Zbl 1451.74048

Summary: In this paper, we analyze the embedding cell method, an algorithm which has been developed for the numerical homogenization of metal-ceramic composite materials. 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 in two situations, namely for a one-dimensional linear elasticity model and a simple one-dimensional plasticity model.

MSC:

74B05 Classical linear elasticity
74Q20 Bounds on effective properties in solid mechanics
74A40 Random materials and composite materials
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References:

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