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Existence Results for Unilateral Quasistatic Contact Problems With Friction and Adhesion

Published online by Cambridge University Press:  15 April 2002

Marius Cocu  and
Rémi Rocca
Marius Cocu
Affiliation:
Université de Provence et Laboratoire de mécanique et d'acoustique, CNRS, 31 chemin J. Aiguier, 13402 Marseille Cedex 20, France. (cocu@lma.cnrs-mrs.fr)
Rémi Rocca
Affiliation:
Laboratoire de mécanique et d'acoustique, CNRS, 31 chemin J. Aiguier, 13402 Marseille Cedex 20, France. (rocca@lma.cnrs-mrs.fr)
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Abstract

We consider a two dimensional elastic body submitted to unilateral contact conditions, local friction and adhesion on a part of his boundary. After discretizing the variational formulation with respect to time we use a smoothing technique to approximate the friction term by an auxiliary problem. A shifting technique enables us to obtain the existence of incremental solutions with bounds independent of the regularization parameter. We finally obtain the existence of a quasistatic solution by passing to the limit with respect to time.

Keywords

Frictionadhesionlocal Coulomb lawunilateral contactquasistatic problem.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 5 , September 2000 , pp. 981 - 1001
Copyright
© EDP Sciences, SMAI, 2000

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