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Micromechanical approach to the behavior of poroelastic materials

Abstract : A micromechanical analysis of the behavior of saturated elastic porous media is presented. Pores are connected and saturated with a fluid at uniform pressure. The non-linear macroscopic response of the porous medium is assumed to be related to the existence of a network of microcracks in the solid phase. The progressive closure of cracks during loading is viewed to control the material non-linearity. Using averaging schemes based on both the classical and modified secant methods, the non-linearity of the overall response is shown to be sometimes controlled by an effective stress. The modified secant method accounts in a certain way for the non-uniform distribution of strains within the solid phase. Different definitions of the effective stress are found, each of them being a combination of the overall stress with the fluid pressure. The hypothesis of connexion between pores and microcracks is discussed in details. The consequences of this hypothesis on the non-linear overall response are illustrated and comparisons are made with experimental data.
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https://hal.archives-ouvertes.fr/hal-00140491
Contributor : Marie-Christine Nodot <>
Submitted on : Friday, April 6, 2007 - 2:34:07 PM
Last modification on : Tuesday, April 27, 2021 - 11:38:03 AM

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Luc Dormieux, A. Molinari, Djimedo Kondo. Micromechanical approach to the behavior of poroelastic materials. Journal of the Mechanics and Physics of Solids, Elsevier, 2002, 50 (10), pp.2203-2231. ⟨10.1016/S0022-5096(02)00008-X⟩. ⟨hal-00140491⟩

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