ArticleOriginal scientific text
Title
A viscoelastic contact problem with normal damped response and friction
Authors 1, 2, 1
Affiliations
- Laboratoire de Théorie des Systèmes, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan Cedex, France
- Laboratoire de Mathématiques Appliquées, CNRS UMR 6620, Université Blaise Pascal (Clermont-Ferrand II), 63177 Aubière Cedex, France
Abstract
We study an evolution problem which describes the quasistatic contact of a viscoelastic body with a foundation. We model the contact with normal damped response and a local friction law. We derive a variational formulation of the model and we establish the existence of a unique weak solution to the problem. The proof is based on monotone operators and fixed point arguments. We also establish the continuous dependence of the solution on the contact boundary conditions.
Keywords
variational problem, monotone operator, frictional contact, viscoelastic material, normal damped response, fixed point
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Pages:
233-246
Main language of publication
English
Received
1999-09-27
Accepted
2000-05-31
Published
2000
Exact and natural sciences