Geodesic
Analysis of a contact adhesive 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
Annales Polonici Mathematici, Tome 104 (2012) no. 2, pp. 175-188.

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

The paper deals with the problem of a quasistatic frictional contact between a nonlinear elastic body and a deformable foundation. The contact is modelled by a normal compliance condition in such a way that the penetration is restricted with a unilateral constraint and associated to the nonlocal friction law with adhesion. The evolution of the bonding field is described by a first-order differential equation. We establish a variational formulation of the mechanical problem and prove an existence and uniqueness result under a smallness assumption on the friction coefficient by using arguments of time-dependent variational inequalities, differential equations and the Banach fixed-point theorem.
DOI : 10.4064/ap104-2-5
Keywords: paper deals problem quasistatic frictional contact between nonlinear elastic body deformable foundation contact modelled normal compliance condition penetration restricted unilateral constraint associated nonlocal friction law adhesion evolution bonding field described first order differential equation establish variational formulation mechanical problem prove existence uniqueness result under smallness assumption friction coefficient using arguments time dependent variational inequalities differential equations banach fixed point theorem

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. Analysis of a contact adhesive problem with
 normal compliance and nonlocal friction. Annales Polonici Mathematici, Tome 104 (2012) no. 2, pp. 175-188. doi : 10.4064/ap104-2-5. http://geodesic.mathdoc.fr/articles/10.4064/ap104-2-5/

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