ETUDE ASYMPTOTIQUE D'UN PROBLEME DE CONTACT UNILATERAL D'UNE PLAQUE MINCE CONTRE UN OBSTACLE RIGIDE DANS L'ELASTICITE LINEAIRE

Abstract

In 2002, J.C.Paumier has studied a Signorini problem with Coulomb friction of a clamped Kirchhoff-Love thin plate model, where he has proved that u( ), the solution of the three-dimensional problem, converges to u(0) characterized by a two-dimensional problem without friction. The aim of this paper is to valid this result using a formal asymptotic analysis approach, where we prove that the leading term 0 u in the asymptotic expansion of u( ) is characterized by the same two dimensional problem.