Plastic Limit Analysis Modelling with Contact Interfaces

Colloque avec actes et comité de lecture. Internationale.International audienceThe mechanical behaviour of the unilateral contact with Coulomb dry friction is a non linear dissipative process that does not satisfy the normality law [1]. In this work, we consider structures made by rigid perfectly plastic material or isotropic hardening one. The hardening character is considered by using the sequential limit analysis procedure [4]. The aim of this communication is to develop a numerical algorithm for kinematical limit analysis with contact and Coulomb's dry friction. The kinematical approach of limit analysis that consists to minimize the total dissipation of plasticity and friction in interfaces, involves static variables (normal contact reaction) in the objective function. In order to solve this question, a successive approximation algorithm is adopted. Contact conditions will be treated by the use of a classical penalisation procedure. The finite element displacement method and mathematical programming algorithms are used to perform numerical solutions