Affiliation:
1. Department of Computer Science and Mathematics, University of Dschang, P.O. Box 67, Dschang, Cameroon
Abstract
In this paper, the two-dimensional Signorini static contact problem in linear elasticity is presented. We present the weak formulation of the frictional contact problems, and the boundary integral operators are used to propose a boundary variational formulation whose resolution by the generalized Newton method is presented. Moreover, a particular formulation by the fixed point method associated with the augmented Lagrangian is proposed for efficient analysis of contact problems with Coulomb friction, and powerful algorithms are constructed. The discretization is carried over by using the Galerkin method. The resulting linear system is solved by using a preconditioned conjugate gradient (CG) iterative solver.
Subject
General Engineering,General Mathematics
Reference32 articles.
1. Sopra alcune questioni di elastostatica. atti societa italiana per il progresso della scienze;A. Signorini,1933
2. Inequalities in mechanics and physics;G. Duvaut,1976
3. Solution of variational inequations in Mechanics;I. Hlaváček,1988
4. A quasistatic frictional problem with a normal compliance penalization term
5. Unilateral Contact Problems