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Convergence of a Neumann-Dirichlet algorithm for two-body contact problems with non local Coulomb's friction law

Published online by Cambridge University Press:  27 March 2008

Guy Bayada ,
Jalila Sabil  and
Taoufik Sassi
Guy Bayada
Affiliation:
INSA-LYON, CNRS UMR 5208, UMR 5514 Bâtiment Léonard de Vinci, 21 Av. J. Capelle, 69621 Villeurbanne Cedex, France. guy.bayada@insa-lyon.fr
Jalila Sabil
Affiliation:
Université Henri Poincaré, UFR STMP, Faculté des Sciences et Techniques, Laboratoire LEMTA B.P. 239, 54506 Vandœuvre-les-Nancy Cedex, France. Jalila.Sabil@lemta.uhp-nancy.fr
Taoufik Sassi
Affiliation:
Laboratoire de Mathématiques Nicolas Oresme, LMNO CNRS UMR 6139, Université de Caen, Bd. Maréchal Juin, 14032 Caen Cedex, France. Taoufik.Sassi@math.unicaen.fr
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Abstract

In this paper, the convergence of a Neumann-Dirichlet algorithm to approximate Coulomb's contact problem between two elastic bodies is proved in a continuous setting. In this algorithm, the natural interface between the two bodies is retained as a decomposition zone.

Keywords

Domain decomposition methodscontact problemsconvergence.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 42 , Issue 2 , March 2008 , pp. 243 - 262
Copyright
© EDP Sciences, SMAI, 2008

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