Inexact primal–dual active set method for solving elastodynamic frictional contact problems

Solving Frictional Contact Problems with Multigrid Efficiency

The construction of fast and reliable solvers for contact problems with friction is even nowadays a challenging task. It is well known that contact problems with Coulomb friction have the weak form of a quasi-variational inequality [KO88, HHNL88, NJH80]. For small coefficients of friction, a solution can be obtained by means of a fixed point iteration in the boundary stresses [NJH80]. This fixe...

On Solving Frictional Contact Problems Part Iii: Unilateral Contact

In this paper, we study mixed variational nite element methods for the unilateral problems arising in contact mechanics.The presented discrete spaces can handle the case of non matching meshes in the contact area. We rst state the static problem and then extend it to the frictional contact case, and end with the dynamic frictional problem.

On the Two-step Iterative Method of Solving Frictional Contact Problems in Elasticity

Unilateral contact problems in elasticity (Duvaut and Lions, 1976) have been extensively studied in the last two decades (Andersson and Klarbring, 2001; Angelov and Liolios, 2004; Cǎpǎtinǎ and Cocu, 1991; Cocu, 1984; Demkowicz and Oden, 1982; Duvaut and Lions, 1976; Hlavaček et al., 1988; Kikuchi and Oden, 1988; Klarbring et al., 1989; Lee and Oden, 1993a,1993b; Ne čas et al., 1980; Oden and Ca...

Covariant description for frictional contact problems

A Simple Level Set Method for Solving Stefan Problems

sented. This method can be applied to problems involving dendritic The process of crystal growth begins when one places a solidification. Our method consists of an implicit finite difference small seed of solid material into a surrounding bath of scheme for solving the heat equation and a level set approach undercooled liquid. Heat is released at the solid/liquid for capturing the front between...