Comptes Rendus
Yield criterion for a rigid-ideally plastic material with randomly oriented cracks
Comptes Rendus. Mécanique, Volume 336 (2008) no. 3, pp. 297-303.

This Note presents an estimate of the yield criterion for a material with a von Mises matrix and randomly oriented ellipsoidal oblate cavities. The particular case where the cavities are penny-shaped cracks is detailed. The study is based on the problem of the unit cell made of an ellipsoidal oblate volume containing a confocal ellipsoidal oblate cavity. Bounds are looked for in order to verify the validity of the proposed estimate.

Cette Note présente une estimation de la surface de plasticité pour un matériau à matrice de von Mises et à cavités ellipsoïdales aplaties orientées aléatoirement. Le cas particulier où les cavités ellipsoïdales sont des fissures circulaires est particulièrement étudié. L'étude est basée sur le problème de la cellule unitaire constituée d'un volume ellipsoïdal aplati contenant en son centre une cavité ellipsoïdale aplatie confocale. Des bornes sont recherchées afin de vérifier la validité de l'estimation proposée.

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Accepted:
Published online:
DOI: 10.1016/j.crme.2007.11.020
Keywords: Porous media, Yield criterion, Ideal plasticity, Cracked media
Mot clés : Milieux poreux, Critère de plasticité, Plasticité parfaite, Milieux fissurés

Pierre-Guy Vincent 1; Yann Monerie 1

1 Institut de radioprotection et de sûreté nucléaire, Cadarache, B.P. 3, 13115 Saint-Paul-lez-Durance cedex, France
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Pierre-Guy Vincent; Yann Monerie. Yield criterion for a rigid-ideally plastic material with randomly oriented cracks. Comptes Rendus. Mécanique, Volume 336 (2008) no. 3, pp. 297-303. doi : 10.1016/j.crme.2007.11.020. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.11.020/

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