Generalized Newton method in contact mechanics

This paper is devoted to studying the global convergence of the Newton method generalized to systems of non differentiable equations issued from the contact mechanics. In the first part, some theoretical results are presented for a typical obstacle problem. In the second part, the behaviour of the Newton algorithm is analyzed by an heuristic approach, In this way, others non linearities, like friction or elastoplasticity, together with unilateral contact, can be taken up.