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A Stabilized Lagrange Multiplier Method for the Finite ElementApproximation of Frictional Contact Problems in Elastostatics

Published online by Cambridge University Press:  27 January 2009

V. Lleras
V. Lleras*
Affiliation:
Laboratoire de mathématiques, Université de Besançon, CNRS UMR 6623, 16 route de Gray, 25030 Besançon Cedex, France
*
vanessa.lleras@univ-fcomte.fr
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Abstract

In this work we consider a stabilized Lagrange multiplier method in order toapproximate the Coulomb frictional contact model in linear elastostatics. Theparticularity of the method is that no discrete inf-sup condition is needed. Westudy the existence and the uniqueness of solution of the discrete problem.

Keywords

unilateral contactCoulomb's friction lawfinite elementsmixedmethodstabilization
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 4 , Issue 1: Modelling and numerical methods in contact mechanics , 2009 , pp. 163 - 182
Copyright
© EDP Sciences, 2009

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