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Problèmes d'homogénéisation pour des matériaux hétérogènes viscoplastiques

Abstract : An extension of the Eshelby problem for non-linear viscous materials is considered. An ellipsoidal heterogeneity is embedded in an infinite matrix. The material properties are assumed to be uniform within the ellipsoid and in the matrix. The problem of determining the average strain rate in the ellipsoid terms of the overall applied strain rate is solved in an approximate way. The method is based on the non-incremental tangent formulation of the non-linear matrix behavior (Molinari, A., Canova, G.R., Ahzi, S., 1987. A self consistent approach of the large deformation polyctristal plasticity. Acta Metall. 35, 2983-2994). In the present work this approximate solution is verified with a good agreement by comparing to the finite element calculations for various inclusion and loading conditions. The differential scheme is using the obtained behavior of the composite depends on which phase is considered to be constituted by the inclusions. This is become the interaction is different between the inclusion and the matrix when they are exchanged. Results will be given for both cases in the applications part
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Fouad El-Houdaigui. Problèmes d'homogénéisation pour des matériaux hétérogènes viscoplastiques. Autre. Université Paul Verlaine - Metz, 2001. Français. ⟨NNT : 2001METZ018S⟩. ⟨tel-01748964⟩



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