Positivity of intrinsic dissipation of a class of nonstandard anisotropic damage models. (Positivité de la dissipation intrinsèque d’une classe de modèles d’endommagement anisotropes non standards.) (French. Abridged English version) Zbl 1177.74056

Desmorat, Rodrigue

C. R., Méc., Acad. Sci. Paris 334, No. 10, 587-592 (2006).

Summary: A nonstandard thermodynamics framework ensures the positivity of the dissipation due to degradation mechanisms for damage states represented by a symmetric second order tensor. The proof of the positivity of the intrinsic dissipation is given. An increasing damage, in terms of positive principal values of the damage rate tensor, guaranties this positivity for the considered class of models, extending then to induced anisotropy the isotropic case property of a positive damage rate. This result gives many possibilities of modeling for anisotropic damage.

MSC:

74A45	Theories of fracture and damage
74E10	Anisotropy in solid mechanics