Comptes Rendus
Discrete approach for modelling quasi-brittle damage: conditions on the set of directions
Comptes Rendus. Mécanique, Volume 335 (2007) no. 12, pp. 781-786.

The aim of this Note is to investigate the discrete approach of anisotropic damage by microcracking by specifying the choice of the set of fixed directions that are to be effectively employed. Three conditions are presented, concerning the description of any damage configuration, and in particular isotropic and transversely isotropic ones. These conditions are given at two different orders in orientation (order 2 and order 4), as both tensorial terms intervene in the thermodynamic potential. The results show that the second order conditions are sufficient to represent a configuration of open microcracks, whereas fourth order conditions are necessary to represent a configuration of closed ones.

Cette Note poursuit le développement de l'approche discrète de l'endommagement anisotrope en précisant des conditions sur l'ensemble de directions fixes à utiliser. Trois conditions sont présentées, concernant la représentativité de toute configuration d'endommagement et en particulier des configurations isotrope et isotrope transverse. Ces conditions sont écrites aux ordres 2 et 4 en orientation du fait de la présence de ces deux types de termes dans le potentiel thermodynamique. Les résultats montrent que les conditions à l'ordre deux suffisent pour décrire une configuration de microfissures ouvertes, alors que les conditions d'ordre quatre sont nécessaires pour représenter une configuration de microfissures fermées.

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Accepted:
Published online:
DOI: 10.1016/j.crme.2007.10.003
Keywords: Damage, Anisotropic damage, Unilateral effect, Discrete approach
Mot clés : Endommagement, Endommagement anisotrope, Effet unilatéral, Approche discrète

Renaud Bargellini 1; Damien Halm 1; André Dragon 1

1 Laboratoire de mécanique et physique des matériaux (UMR 6617), ENSMA, BP 40109, 86961 Futuroscope cedex, France
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Renaud Bargellini; Damien Halm; André Dragon. Discrete approach for modelling quasi-brittle damage: conditions on the set of directions. Comptes Rendus. Mécanique, Volume 335 (2007) no. 12, pp. 781-786. doi : 10.1016/j.crme.2007.10.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.10.003/

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