Mortar methods for contact problems

S. Hüeber, B. I. Wohlmuth

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

5 Scopus citations

Abstract

For the numerical approximation of nonlinear contact problems, mortar methods provide a powerful and efficient tool. To detect the correct contact zone and to decompose it into the sliding and sticking part for Coulomb friction, we use primal-dual active set strategies. Combining these strategies with optimal multigrid methods, we get an efficient inexact approach. The extension of the mortar approach to thermal contact problems, to the case of large deformations and nearly incompressible materials is shown. Numerical results in 2D and 3D are given to illustrate the flexibility of the algorithm.

Original languageEnglish
Title of host publicationAnalysis and Simulation of Contact Problems
EditorsPeter Wriggers, Udo Nackenhost
Pages39-47
Number of pages9
Edition27
DOIs
StatePublished - 2006
Externally publishedYes

Publication series

NameLecture Notes in Applied and Computational Mechanics
Number27
Volume2006
ISSN (Print)1613-7736

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