New bounds and estimates for porous media with rigid perfectly plastic matrix

Nicolas Bilger; François Auslender; Michel Bornert; Renaud Masson

doi:10.1016/S1631-0721(02)01438-9

New bounds and estimates for porous media with rigid perfectly plastic matrix

Nicolas Bilger
, François Auslender
, Michel Bornert
, Renaud Masson

Department of Mechanics École Polytechnique
Lamsid/EDF/R and D

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

24 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	127-132
Nombre de pages	6
journal	Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique
Volume	330
Numéro de publication	2
Les DOIs	https://doi.org/10.1016/S1631-0721(02)01438-9
état	Publié - 1 janv. 2002
Modification externe	Oui

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10.1016/S1631-0721(02)01438-9

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AB - 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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KW - Solids and structures

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New bounds and estimates for porous media with rigid perfectly plastic matrix

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