A discrete thermodynamic approach for modeling anisotropic coupled plasticity-damage behavior in geomaterials

Qizhi Zhu (1) , Jian-Fu Shao (1) , Djimedo Kondo (1)

1 LML - Laboratoire de Mécanique de Lille - FRE 3723

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.

Mots clés: Damage; Discrete approach; Plasticity; Thermodynamic approach; Cracks; Sliding

Qizhi Zhu, Jian-Fu Shao, Djimedo Kondo. A discrete thermodynamic approach for modeling anisotropic coupled plasticity-damage behavior in geomaterials. Comptes Rendus Mécanique, 2008, 336 (4), pp.376-383. ⟨10.1016/j.crme.2008.01.006⟩. ⟨hal-00262134⟩