[Nouvelles bornes et estimations pour les milieux poreux à matrice rigide parfaitement plastique]
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.
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.
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Mot clés : solides et structures, milieux poreux, bornes, plasticité parfaite
@article{CRMECA_2002__330_2_127_0,
author = {Nicolas Bilger and Fran\c{c}ois Auslender and Michel Bornert and Renaud Masson},
title = {New bounds and estimates for porous media with rigid perfectly plastic matrix},
journal = {Comptes Rendus. M\'ecanique},
pages = {127--132},
publisher = {Elsevier},
volume = {330},
number = {2},
year = {2002},
doi = {10.1016/S1631-0721(02)01438-9},
language = {en},
}
TY - JOUR AU - Nicolas Bilger AU - François Auslender AU - Michel Bornert AU - Renaud Masson TI - New bounds and estimates for porous media with rigid perfectly plastic matrix JO - Comptes Rendus. Mécanique PY - 2002 SP - 127 EP - 132 VL - 330 IS - 2 PB - Elsevier DO - 10.1016/S1631-0721(02)01438-9 LA - en ID - CRMECA_2002__330_2_127_0 ER -
%0 Journal Article %A Nicolas Bilger %A François Auslender %A Michel Bornert %A Renaud Masson %T New bounds and estimates for porous media with rigid perfectly plastic matrix %J Comptes Rendus. Mécanique %D 2002 %P 127-132 %V 330 %N 2 %I Elsevier %R 10.1016/S1631-0721(02)01438-9 %G en %F CRMECA_2002__330_2_127_0
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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