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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
Université de Provence et Laboratoire de mécanique et d'acoustique, CNRS, 31 chemin J. Aiguier, 13402 Marseille Cedex 20, France. (
Rémi Rocca
Laboratoire de mécanique et d'acoustique, CNRS, 31 chemin J. Aiguier, 13402 Marseille Cedex 20, France. (
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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.

Research Article
© EDP Sciences, SMAI, 2000

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