Comptes Rendus
A damage model based on singular elastic fields
[Un modèle d'endommagement basé sur les champs elastiques singuliers]
Comptes Rendus. Mécanique, Volume 336 (2008) no. 3, pp. 283-288.

Aux points anguleux rentrants d'une structure élastique, il est bien connu que les contraintes deviennent infinies en suivant une loi puissance. Du point de vue du matériau, il est paradoxal que celui-ci puisse supporter localement une telle surcharge. Pour éviter ce paradoxe, nous proposons un modèle d'endommagement dans lequel le module d'Young du matériau décroît (endommagement) en suivant également une loi puissance telle que le champ de contraintes résultant reste borné.

At re-entrant corners in elastic structures, the stress field is known to increase to infinity following a power law. From the material viewpoint it is paradoxical that it can locally sustain such an overburden. To avoid this paradox we propose a damage model where the Young's modulus of the material decreases (damage) also following a power law and such that the resulting stress field remains bounded.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2007.10.011
Keywords: Damage, Elasticity, Singularities
Mot clés : Endommagement, Elasticité, Singularités

Dominique Leguillon 1

1 Institut Jean Le Rond d'Alembert, CNRS UMR 7190, Université Pierre et Marie Curie, case 162, 4, place Jussieu, 75252 Paris cedex 05, France
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Dominique Leguillon. A damage model based on singular elastic fields. Comptes Rendus. Mécanique, Volume 336 (2008) no. 3, pp. 283-288. doi : 10.1016/j.crme.2007.10.011. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.10.011/

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