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A mixed finite element method and solution multiplicity for Coulomb frictional contact

โœ Scribed by Riad Hassani; Patrick Hild; Ioan R. Ionescu; Nour-Dine Sakki

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
920 KB
Volume
192
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

This paper is concerned with the discrete contact problem governed by Coulombร•s friction law. We propose and study a new technique using mixed finite elements with two multipliers in order to determine numerically critical friction coefficients for which multiple solutions to the friction problem exist. The framework is based on eigenvalue problems and it allows to exhibit non-uniqueness cases involving an infinity of solutions located on a continuous branch. The theory is illustrated with several computations which clearly show the accuracy of the proposed method.

๐Ÿ“œ SIMILAR VOLUMES

A finite element solution method for con
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Using the finite element method a numerical procedure is developed for the solution of the two-dimensional frictional contact problems with Coulomb's law of friction. The formulation for this procedure is reduced to a complementarity problem. The contact region is separated into stick and slip regio