Author(s)

P. Alart & F. Lebon

Abstract

Multigrid method applied to mixed formulation for frictional contact problems P. Alart, F. Lebon Laboratoire de Mecanique et Genie Civil, Universite Montpellier II, URA 1214, CNRS, pi E. Bataillon, cc 048, Montpellier 34095 cedex 05, France ABSTRACT Many structural analysis problems are concerned with friction contact phenomena. These problems are difficult to formulate and even more to solve because they are governed by multivalued tribological laws and some numerical resolutions can lead to unsymmetric operators. This last disadvantage becomes crucial for very large problems involving three dimensional discretization and time evolution. This paper shows how to use a simple mixed formulation together with an efficient multigrid technic when dealing with frictional contact problem. The augmented Lagrangian approach yields on non linear and non differentiable system the unknowns of which are node displacements and Lagrangian multipliers identified with contact for

Keywords