Étude du critère de plasticité des matériaux poreux

Abstract

The ductile failure of porous metallic materials is studied here using both Limit Analysis (LA) methods, a problem treated by Gurson with his famous kinematic approach in 1977. The present work is devoted to determining the strength of porous materials with long circular cylindrical cavities in the case of plane stress. The numerical methods developed here use the Hill–Mandel method based on the homogenization theory of heterogeneous media within the LA framework. The use of kinematic and static approaches gave an excellent estimation of the yield criterion for all the cases studied. The numerical results based on LA methods have been compared with analytical and semi-analytical yield domain expressions proposed by different authors. The results show that the Richmond model was the most accurate in terms of our predictions.