Comptes Rendus
Stress equivalence principle for saturated porous media
Comptes Rendus. Mécanique, Volume 330 (2002) no. 4, pp. 297-303.

The stress equivalence principle for saturated porous media is studied in the plastic domain using a homogenization approach. The skeleton is composed of a micro-isotropic and micro-homogeneous material. The stress localization law in saturated porous media is first obtained. This makes it possible to define an appropriate effective stress tensor in the sense of the stress equivalence principle. The form of the effective stress tensor is examined for two particular yield functions of skeleton material.

Le principe d'équivalence en contrainte pour milieux poreux saturés est étudié dans le domaine plastique en utilisant une approche d'homogénéisation. Le squelette est composé d'un matériau micro-isotrope et micro-homogène. La loi de localisation des contraintes dans le milieu poreux saturé est d'abord déterminée. Celle-ci permet de définir une contrainte effective appropriée dans le sens du principe d'équivalence en contrainte. La forme du tenseur des contraintes effectives est étudiée pour deux fonctions de charge particulières du matériau squelette.

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DOI: 10.1016/S1631-0721(02)01463-8
Keywords: granular media, porous media, effective stress, poroplasticity, homogenization
Mot clés : milieux granulaires, milieux poreux, contrainte effective, poroplasticité, homogénéisation

Dariusz Lydzba 1; Jian-Fu Shao 2

1 Institute of Geotechnics and Hydrotechnics, Wroclaw University of Technology, St. Wybrzeze Wyspianskiego 27, 50-370 Wroclaw, Poland
2 Laboratoire de mécanique de Lille, URA CNRS 1441, EUDIL, cité Scientifique, 59655 Villeneuve d'Ascq, France
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Dariusz Lydzba; Jian-Fu Shao. Stress equivalence principle for saturated porous media. Comptes Rendus. Mécanique, Volume 330 (2002) no. 4, pp. 297-303. doi : 10.1016/S1631-0721(02)01463-8. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01463-8/

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