Three-dimensional finite-element analysis of elastoplastic behavior with frictional contact

Three-dimensional finite-element analysis of elastoplastic behavior with frictional contact. In this paper, we present a theoretical and numerical analysis of the incremental elastoplastic problems based on the finite-element method (FEM) and the numerical analysis. The survey is made on a perfect elastoplastic material obeying the criteria of von Mises. The contact with Coulomb's dry friction to the tool-chip interlace is taken into account and is formulated by the method of the implicit standard material (ISM), proposed by De Saxce and al., that led to only one variationnal principle of minimum in displacement for which contact and friction are coupled in the bipotential function non differentiable in certain points. In order to overcome this difficulty we suggest the use whether out of the regularization method or the augmented Lagrangian with Uzawa's algorithm. On the other hand the problem of coupling is solved by the use of an iteration procedure based on the fixed point method.