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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Mots-clés : Milieux poreux, Critère de plasticité, Plasticité parfaite, Milieux fissurés
Pierre-Guy Vincent 1; Yann Monerie 1
@article{CRMECA_2008__336_3_297_0, author = {Pierre-Guy Vincent and Yann Monerie}, title = {Yield criterion for a rigid-ideally plastic material with randomly oriented cracks}, journal = {Comptes Rendus. M\'ecanique}, pages = {297--303}, publisher = {Elsevier}, volume = {336}, number = {3}, year = {2008}, doi = {10.1016/j.crme.2007.11.020}, language = {en}, }
TY - JOUR AU - Pierre-Guy Vincent AU - Yann Monerie TI - Yield criterion for a rigid-ideally plastic material with randomly oriented cracks JO - Comptes Rendus. Mécanique PY - 2008 SP - 297 EP - 303 VL - 336 IS - 3 PB - Elsevier DO - 10.1016/j.crme.2007.11.020 LA - en ID - CRMECA_2008__336_3_297_0 ER -
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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