Comptes Rendus
A discrete thermodynamic approach for modeling anisotropic coupled plasticity-damage behavior in geomaterials
Comptes Rendus. Mécanique, Volume 336 (2008) no. 4, pp. 376-383.

In the present Note, we present a discrete thermodynamic approach for modeling coupled anisotropic plastic flow and damage evolution in geomaterials. The basic idea is to extend the widely-used isotropic coupled elastoplastic damage formulation to the case with induced anisotropy using a discrete approach. The total plastic strain is considered as the consequence of frictional sliding in weak sliding planes randomly distributed in the elastic solid matrix. The effective elastic tensor of damaged material is determined using damage variable associated with each family of weak sliding planes. An example of application is shown for a typical semi-brittle rock.

Dans la présente Note, nous présentons une approche thermodynamique discrète pour la modélisation du couplage entre la déformation plastique et l'endommagement anisotrope induit des géomatériaux. L'idée de base est d'étendre la formulation largement utilisée pour la modélisation du couplage plasticité- endommagement isotrope au cas de l'anisotropie induite. La déformation plastique totale est considérée comme la conséquence du glissement frottant le long des surfaces des plans de faiblesse, qui sont distribués aléatoirement dans la matrice solide élastique. Les propriétés élastiques effectives du matériau endommagé sont déterminées en fonction de l'endommagement lié à l'évolution des plans de faibless. Un exemple d'application à une roche semifragile est illustré.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2008.01.006
Keywords: Damage, Discrete approach, Plasticity, Thermodynamic approach, Cracks, Sliding
Mot clés : Endommagement, Approche discrète, Plasticité, Fissures, Frottement, Glissement

Qi-zhi Zhu 1; Jian-fu Shao 1; Djimedo Kondo 1

1 Laboratoire de mécanique de Lille-UMR CNRS 8107, université de sciences et technologies Lille, cité scientifique, boulevard Paul-Langevin, 59655 Villeneuve d'Ascq cedex, France
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Qi-zhi Zhu; Jian-fu Shao; Djimedo Kondo. A discrete thermodynamic approach for modeling anisotropic coupled plasticity-damage behavior in geomaterials. Comptes Rendus. Mécanique, Volume 336 (2008) no. 4, pp. 376-383. doi : 10.1016/j.crme.2008.01.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.01.006/

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