Comptes Rendus
A mixed damage model for unsaturated porous media
Comptes Rendus. Mécanique, Volume 337 (2009) no. 2, pp. 68-74.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2009.03.005
Keywords: Damage, Poro-elasticity, Geomaterial, Net stress, Suction, Micro-mechanics, Thermodynamics, Permeability
Mot clés : Endommagement, Poro-élasticité, Géomatériau, Contrainte nette, Succion, Micro-mécanique, Thermodynamique, Perméabilité

Chloé Arson 1; Behrouz Gatmiri 1, 2

1 Université Paris-Est, U.R. Navier, Ecole Nationale des Ponts et Chaussées, 6-8, avenue Blaise-Pascal, cité Descartes, Champs-sur-Marne, 77455 Marne-la-Vallée cedex 2, France
2 University of Tehran, Department of Civil Engineering, Iran
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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/

[1] G. Houlsby The work input to an unsaturated granular material, Géotechnique, Volume 47 (1997) no. 1, pp. 193-196

[2] M. Kachanov Effective elastic properties of cracked solids: critical review of some basic concepts, Appl. Mech. Rev., Volume 45 (1992) no. 8, pp. 304-335

[3] J. Shao; H. Zhou; K. Chau Coupling between anisotropic damage and permeability variation in brittle rocks, Int. J. Numer. Anal. Methods Geomech., Volume 29 (2005), pp. 1231-1247

[4] G. Swoboda; Q. Yang An energy-based damage model of geomaterials 1. Formulation and numerical results, Int. J. Solids Struct., Volume 36 (1999), pp. 1719-1734

[5] M. Ortiz A constitutive theory for the inelastic behavior of concrete, Mech. Mater., Volume 4 (1985), pp. 67-93

[6] B. Gatmiri, M. Seyedi, P. Delage, F. Fry, A new suction-based mathematical model for thermo-hydro-mechanical behavior of unsaturated porous media, in: Proceedings of the 6th International Symposium on Numerical Models in Geomechanics, NUMOG VI, Quebec, Canada, 1997, pp. 291–296

[7] B. Gatmiri, Framework of a non linear fully coupled thermo-hydro-mechanical behavior of unsaturated porous media, in: Keynote lecture of the 3rd Iranian International Conference on Geotechnical Engineering and Soil Mechanics, Teheran, Iran, 2002

[8] A. Dragon; D. Halm Modélisation de l'endommagement par méso-fissuration : comportement unilatéral et anisotropie induite, C. R. Acad. Sci. Paris T., Volume 322 (1996) no. Ser. IIb, pp. 275-282

[9] J. Cordebois; F. Sidoroff Anisotropic damage in elasticity and plasticity, Journal de Mécanique théorique et appliquée (1982), pp. 45-60 (Suppl.)

[10] N. Hansen; H. Schreyer A thermodynamically consistent framework for theories of elastoplasticity coupled with damage, Int. J. Solids Struct., Volume 31 (1994) no. 3, pp. 359-389

[11] R. Desmorat Dissymétrie de comportement élastique anisotrope couplé ou non à l'endommagement, C. R. Mecanique, Volume 322 (2000), pp. 445-450

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