Numerically And Parallel Scalable TFETI
Algorithms For Quasistatic Contact
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
Related Book
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