The aim of this study is to present a framework for the modeling of damage in continuous unsaturated porous geomaterials. The damage variable is a second-order tensor. The model is formulated in net stress and suction independent state variables. Correspondingly, the strain tensor is split into two independent thermodynamic strain components. The proposed framework mixes micro-mechanical and phenomenological approaches. On the one hand, the effective stress concept of Continuum Damage Mechanics is used in order to compute the damaged rigidities. On the other hand, the concept of equivalent mechanical state is introduced in order to get a simple phenomenological formulation of the behavior laws. Cracking effects are also taken into account in the fluid transfer laws.
Cette étude a pour objectif de présenter un cadre théorique pour la modélisation de l'endommagement dans les géomatériaux non-saturés, considérés comme des milieux continus. Le modèle est formulé en variables d'état indépendantes : contrainte nette et succion. Conjointement, le tenseur des déformations est écrit comme la somme de deux composantes thermodynamiques indépendantes. Le cadre théorique proposé combine les approches micro-mécanique et phénoménologique. D'une part, le concept de contrainte effective de la Mécanique de l'Endommagement en Milieu Continu est utilisé, de manière à calculer les rigidités endommagées. D'autre part, le concept d'état mécanique équivalent est introduit pour obtenir une formulation phénoménologique simple des lois de comportement. Les effets de la fissuration sont également pris en compte dans les lois de transfert des fluides.
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Mots-clés : Endommagement, Poro-élasticité, Géomatériau, Contrainte nette, Succion, Micro-mécanique, Thermodynamique, Perméabilité
Chloé Arson 1; Behrouz Gatmiri 1, 2
@article{CRMECA_2009__337_2_68_0, author = {Chlo\'e Arson and Behrouz Gatmiri}, title = {A mixed damage model for unsaturated porous media}, journal = {Comptes Rendus. M\'ecanique}, pages = {68--74}, publisher = {Elsevier}, volume = {337}, number = {2}, year = {2009}, doi = {10.1016/j.crme.2009.03.005}, language = {en}, }
Chloé Arson; Behrouz Gatmiri. A mixed damage model for unsaturated porous media. Comptes Rendus. Mécanique, Volume 337 (2009) no. 2, pp. 68-74. doi : 10.1016/j.crme.2009.03.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.03.005/
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