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Multiscale analysis of instabilities in heterogeneous materials using ANM and multilevel FEM

Abstract : In this study, we propose a numerical technique which combines a perturbation approach (asymptotic numerical method) and a multilevel finite element analysis. This procedure allows dealing with instability phenomena in the context of heterogeneous materials where buckling may occur at both macroscopic and/or microscopic scales. Different constitutive relations are applied and geometrical non-linearity is taken into account at both scales. Numerical examples involving instabilities at both micro and macro levels are presented.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00749252
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Submitted on : Wednesday, November 7, 2012 - 9:45:22 AM
Last modification on : Tuesday, October 19, 2021 - 4:08:56 PM

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S. Nezamabadi, H. Zahrouni, Julien Yvonnet, M. Potier-Ferry. Multiscale analysis of instabilities in heterogeneous materials using ANM and multilevel FEM. Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, Hermès / Paris : Lavoisier 2012, 22 ((3-6)), pp.280-289. ⟨10.1080/17797179.2012.727350⟩. ⟨hal-00749252⟩

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