Geodesic
A Dynamic Frictionless Contact Problem with Adhesion and Damage
Mohamed Selmani1 ; Lynda Selmani1
1 Department of Mathematics University of Setif 19000 Setif, Algeria
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 1, pp. 17-34.

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We consider a dynamic frictionless contact problem for a viscoelastic material with damage. The contact is modeled with normal compliance condition. The adhesion of the contact surfaces is considered and is modeled with a surface variable, the bonding field, whose evolution is described by a first order differential equation. We establish a variational formulation for the problem and prove the existence and uniqueness of the solution. The proofs are based on the theory of evolution equations with monotone operators, a classical existence and uniqueness result for parabolic inequalities, and fixed point arguments.
DOI : 10.4064/ba55-1-3
Keywords: consider dynamic frictionless contact problem viscoelastic material damage contact modeled normal compliance condition adhesion contact surfaces considered modeled surface variable bonding field whose evolution described first order differential equation establish variational formulation problem prove existence uniqueness solution proofs based theory evolution equations monotone operators classical existence uniqueness result parabolic inequalities fixed point arguments

Mohamed Selmani 1 ; Lynda Selmani 1

1 Department of Mathematics University of Setif 19000 Setif, Algeria 
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Mohamed Selmani; Lynda Selmani. A Dynamic Frictionless Contact Problem with Adhesion and Damage. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 1, pp. 17-34. doi : 10.4064/ba55-1-3. http://geodesic.mathdoc.fr/articles/10.4064/ba55-1-3/

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