Geodesic
A viscoelastic contact problem with normal damped response and friction
Annales Polonici Mathematici, Tome 75 (2000) no. 3, pp. 233-246.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-75-3-233-246
Keywords: variational problem, monotone operator, frictional contact, viscoelastic material, normal damped response, fixed point

B. Awbi 1 ; El H. Essoufi 1 ; M. Sofonea 1

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B. Awbi; El H. Essoufi; M. Sofonea. A viscoelastic contact problem with normal damped response and friction. Annales Polonici Mathematici, Tome 75 (2000) no. 3, pp. 233-246. doi : 10.4064/ap-75-3-233-246. http://geodesic.mathdoc.fr/articles/10.4064/ap-75-3-233-246/

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