Generalized Newton method in contact mechanics (Q1354979)

This paper is devoted to study 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 a heuristic approach. In this way, other nonlinearities, like friction or elastoplasticity, together with unilateral contact, can be taken up.