Analysis of the embedded cell method in 1D for the numerical homogenization of metal-ceramic composite materials

Analysis of the embedded cell method in 1D for the numerical homogenization of metal-ceramic... AbstractIn this paper, we analyze the embedding cell method, an algorithm which has been developedfor 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 anda simple one-dimensional plasticity model. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Analysis de Gruyter

Analysis of the embedded cell method in 1D for the numerical homogenization of metal-ceramic composite materials

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Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6082
eISSN
1869-6082
D.O.I.
10.1515/jaa-2018-0007
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this paper, we analyze the embedding cell method, an algorithm which has been developedfor 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 anda simple one-dimensional plasticity model.

Journal

Journal of Applied Analysisde Gruyter

Published: Jun 1, 2018

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