Comptes Rendus
no. 9-10
A two-scale damage model with material length

Présenté par : Jean-Baptiste Leblond

Cristian Dascalu1
1 Laboratoire 3S-R, UJF, INPG, CNRS UMR 5521, BP 53, 38041 Grenoble cedex 9, France
Comptes Rendus. Mécanique, Volume 337 (2009) no. 9-10, pp. 645-652.

The Note presents the formulation of a class of two-scale damage models involving a micro-structural length. A homogenization method based on asymptotic developments is employed to deduce the macroscopic damage equations. The damage model completely results from energy-based micro-crack propagation laws, without supplementary phenomenological assumptions.

We show that the resulting two-scale model has the property of capturing micro-structural lengths. When damage evolves, the micro-structural length is given by the ratio of the surface density of energy dissipated during the micro-crack growth and the macroscopic damage energy release rate per unit volume of the material.

The use of fracture criteria based on resistance curves or power laws for sub-critical growth of micro-cracks leads to quasi-brittle and, respectively, time-dependent damage models.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2009.09.008
Mots clés : Damage, Micro-crack propagation, Homogenization, Damage laws, Internal length, Resistance curve, Sub-critical crack growth

Cristian Dascalu 1

1 Laboratoire 3S-R, UJF, INPG, CNRS UMR 5521, BP 53, 38041 Grenoble cedex 9, France 
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Cristian Dascalu. A two-scale damage model with material length. Comptes Rendus. Mécanique, Volume 337 (2009) no. 9-10, pp. 645-652. doi : 10.1016/j.crme.2009.09.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.09.008/

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