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Méthodes d'homogénéisation d'ordre supérieur pour les matériaux architecturés

Abstract : Standard homogenization with Cauchy medium has got many successes in heterogeneous material study. However, it is limited when the characterised length of applied macroscopic loadings is at the same order of material's heterogeneities; in particular in case of grand gradient solicitation, for instance in sandwich bending case. The homogenization with generalized continua is then necessary to overcome these limits and extend the validation of homogenization approach out of strict scale separation condition. There are recently much progression in this domain; the contributions have developed mainly material multi-scale modelling by Cosserat (or micropolar) medium, by second gradient medium, by couple-stress medium and recently by micromorphic continuum. There is many methods for multi-scale modelling an heterogeneous material : computational average on RVE; asymptotic developement method or empirical methods. My contribution follows the local fields average technique, with the purpose of looking for a new method which is not so complicated but systematically enough for modelling composite material by generalized continuum media. Motivation of this method is its good applicability to any micro--structure, and also relatively simple to apply non-linear behavior (elasto-plastic behavior).
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Submitted on : Wednesday, March 7, 2012 - 10:10:59 AM
Last modification on : Wednesday, November 17, 2021 - 12:28:17 PM
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  • HAL Id : pastel-00677046, version 1


Duy-Khanh Trinh. Méthodes d'homogénéisation d'ordre supérieur pour les matériaux architecturés. Matériaux. École Nationale Supérieure des Mines de Paris, 2011. Français. ⟨NNT : 2011ENMP0068⟩. ⟨pastel-00677046⟩



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