An improved incomplete Cholesky factorization
ACM Transactions on Mathematical Software (TOMS)
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Relaxation procedures for solving Signorini-Coulomb contact problems
Advances in Engineering Software - Special issue on engineering computational technology
Error estimation and mesh adaptation for Signorini-Coulomb problems using E-FEM
Computers and Structures
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This paper deals with numerical methods for solving unilateral contact problems with friction. Although these problems are usually defined in terms of the displacement, a stress based approach to the problem is developed here. The ''equilibrium'' finite elements method is therefore used. Using these elements make it possible to satisfy the local equilibrium condition a priori, but on the other hand, prescribed and contact forces have to be introduced using Lagrangian multipliers. The problem obtained is therefore a non-linear, constrained problem and the global system matrix is non-positive definite. Various solution algorithms are thus proposed and compared. Comparisons between the classical method and that developed here show that the stress formulation gives very satisfactory results in terms of the stresses.