Author(s)

O. Vlach, Z.Dost´al, T. Kozubek, A. Markopoulos & T. Brzobohat´y

Abstract

This paper deals with the solution of the discretized quasistatic 3D Signorini problems with local Coulomb friction. After a time discretization we obtain a system of static contact problems with Coulomb friction. Each of these problems is decomposed by the TFETI domain decomposition method used in auxiliary contact problemswith Tresca friction. The algebraic formulation of these problems in 3D leads to the quadratic programing with equality constraints together with box and separable quadratic constraints. For the solution we used the scalable algorithm SMALSE developed at our department. The efficiency of the method is demonstrated by results of numerical experiments with parallel solution of 3D contact problems of elasticity. 1 Introduction Contact problems represent a branch of mechanics of solids which analyzes the behavior of loaded, deformable bodies being in a mutual contact. If the system of bodies includes \“floating” bodies, the resulting stiffness matrices from the discretization of such bodies are positive semi-definite. Moreover the occurrence of non-penetration and friction conditions implies the highly non-linear behavior of resulting problems. Both this phenomena depend on time so as the applied forces. If however applied forces vary only slowly in time, inertia of the system based problems of mechanics

Keywords