Geodesic
Study of a contact problem with normal compliance and nonlocal friction
Arezki Touzaline1
1 Laboratoire de Systèmes Dynamiques Faculté de Mathématiques, USTHB BP 32 El Alia Bab-Ezzouar, 16111, Algeria
Applicationes Mathematicae, Tome 39 (2012) no. 1, pp. 43-55.

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

We consider a static frictional contact between a nonlinear elastic body and a foundation. The contact is modelled by a normal compliance condition such that the penetration is restricted with unilateral constraint and associated to the nonlocal friction law. We derive a variational formulation and prove its unique weak solvability if the friction coefficient is sufficiently small. Moreover, we prove the continuous dependence of the solution on the contact conditions. Also we study the finite element approximation of the problem and obtain an error estimate.
DOI : 10.4064/am39-1-3
Keywords: consider static frictional contact between nonlinear elastic body foundation contact modelled normal compliance condition penetration restricted unilateral constraint associated nonlocal friction law derive variational formulation prove its unique weak solvability friction coefficient sufficiently small moreover prove continuous dependence solution contact conditions study finite element approximation problem obtain error estimate

Arezki Touzaline 1

1 Laboratoire de Systèmes Dynamiques Faculté de Mathématiques, USTHB BP 32 El Alia Bab-Ezzouar, 16111, Algeria 
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Arezki Touzaline. Study of a contact problem with normal compliance and nonlocal friction. Applicationes Mathematicae, Tome 39 (2012) no. 1, pp. 43-55. doi : 10.4064/am39-1-3. http://geodesic.mathdoc.fr/articles/10.4064/am39-1-3/

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