Positivité de la dissipation intrinsèque d'une classe de modèles d'endommagement anisotropes non standards

Rodrigue Desmorat

doi:10.1016/j.crme.2006.07.015

Positivité de la dissipation intrinsèque d'une classe de modèles d'endommagement anisotropes non standards

Présenté par : Jean-Baptiste Leblond

Rodrigue Desmorat ¹

¹ LMT-Cachan, ENS Cachan/Université Paris 6/CNRS, 61, avenue du président Wilson, 94235 Cachan cedex, France

Comptes Rendus. Mécanique, Volume 334 (2006) no. 10, pp. 587-592.

Résumé
Abstract

Un cadre thermodynamique non standard permet de garantir la positivité de la dissipation due aux mécanismes d'endommagement pour un endommagement représenté par une variable tensorielle d'ordre 2 symétrique. La démonstration de la positivité de la dissipation intrinsèque est donnée. Pour la classe de modèles considérée, un endommagement croissant, aux sens de valeurs propres positives du tenseur taux d'endommagement, suffit à garantir cette positivité, ce qui ouvre de nombreuses perspectives en terme de modélisation.

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.

Reçu le : 2006-06-29
Accepté le : 2006-07-04
Publié le : 2006-08-17

DOI : 10.1016/j.crme.2006.07.015

Mots-clés : Endommagement, Anisotropie, Effet unilatéral
Keywords: Damage, Anisotropy, Unilateral effect

Affiliations des auteurs :

Rodrigue Desmorat ¹

¹ LMT-Cachan, ENS Cachan/Université Paris 6/CNRS, 61, avenue du président Wilson, 94235 Cachan cedex, France

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Rodrigue Desmorat. Positivité de la dissipation intrinsèque d'une classe de modèles d'endommagement anisotropes non standards. Comptes Rendus. Mécanique, Volume 334 (2006) no. 10, pp. 587-592. doi : 10.1016/j.crme.2006.07.015. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.07.015/

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