On a class of micromechanical damage models with initial stresses for geomaterials

Abstract

a b s t r a c tIn this paper, we extend a class of micromechanical damage models by including initial stresses. The proposed approach is based on the solution of the Eshelby inhomogeneous inclusion problem in the presence of a pre-stress (in the matrix), adapted for elastic voided media. The closed form expression of the corresponding energy potential is used as the basis of various isotropic damage models corresponding to three standard homogenization schemes. These models are illustrated by considering isotropic tensile loadings with different initial stresses. Finally, still in the isotropic context, we provide an interpretation of the macroscopic damage model formulated by Halm and Dragon (1996) by briefly connecting it to the present study.

A two scale anisotropic damage model accounting for initial stresses in microcracked materials

“…Before presenting the specific developments carried out in the present study, it is convenient to note that although the use of the concept of prestress in the context of cracks-induced damage modeling with prestress is in several aspects original, various micromechanics-based models already exist in literature but they concern poroelastic damage, strength and/or poroplasticity (see for instance among others [8,2,7,18,15] and references cited herein).…”

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a b s t r a c tIn a recent study [15], we proposed a class of isotropic damage models which account for initial stresses. The present paper extends this approach to anisotropic damage due to growth of an arbitrarily penny-shaped microcracks system.

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