Comptes Rendus
New bounds and estimates for porous media with rigid perfectly plastic matrix
Comptes Rendus. Mécanique, Volume 330 (2002) no. 2, pp. 127-132.

We derive new rigorous bounds and self-consistent estimates for the effective yield surface of porous media with a rigid perfectly plastic matrix and a microstructure similar to Hashin's composite spheres assemblage. These results arise from a homogenisation technique that combines a pattern-based modelling for linear composite materials and a variational formulation for nonlinear media.

On présente de nouvelles bornes rigoureuses et estimations autocohérentes pour la surface de plasticité macroscopique de milieux poreux à matrice rigide parfaitement plastique dont la microstructure s'apparente à l'assemblage des sphères composites de Hashin. Elles sont déduites d'une technique d'homogénéisation qui combine une approche par motifs pour les composites linéaires et une formulation variationnelle pour les milieux non linéaires.

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Accepted:
Published online:
DOI: 10.1016/S1631-0721(02)01438-9
Keywords: solids and structures, porous media, bounds, perfect plasticity
Mot clés : solides et structures, milieux poreux, bornes, plasticité parfaite

Nicolas Bilger 1, 2; François Auslender 1; Michel Bornert 1; Renaud Masson 2

1 Laboratoire de mécanique des solides, École polytechnique, CNRS, 91128 Palaiseau cedex, France
2 Électricité de France, site des Renardières, route de Sens, Écuelles, 77818 Moret sur Loing, France
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Nicolas Bilger; François Auslender; Michel Bornert; Renaud Masson. New bounds and estimates for porous media with rigid perfectly plastic matrix. Comptes Rendus. Mécanique, Volume 330 (2002) no. 2, pp. 127-132. doi : 10.1016/S1631-0721(02)01438-9. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01438-9/

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