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

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	127-132
Number of pages	6
Journal	Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique
Volume	330
Issue number	2
DOIs	https://doi.org/10.1016/S1631-0721(02)01438-9
Publication status	Published - 1 Jan 2002
Externally published	Yes

Keywords

Bounds
Perfect plasticity
Porous media
Solids and structures

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10.1016/S1631-0721(02)01438-9

Cite this

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AU - Masson, Renaud

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N2 - 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.

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 - Perfect plasticity

KW - Porous media

KW - Solids and structures

UR - https://www.scopus.com/pages/publications/0036193988

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DO - 10.1016/S1631-0721(02)01438-9

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SN - 1620-7742

VL - 330

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JO - Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique

JF - Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique

IS - 2

ER -

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

Abstract

Keywords

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