Asymptotic study of a frictionless contact problem between two elastic bodies


Authors

Y. Letoufa - Applied Mathematics Laboratory, El Oued University, 39000, Algeria. H. Benseridi - Applied Mathematics Laboratory, Setif 1 University, 19000, Algeria. M. Dilmi - Applied Mathematics Laboratory, Setif 1 University, 19000, Algeria.


Abstract

We consider a mathematical model which describes the bilateral, frictionless contact between two elastic bodies. We will establish a variational formulation for the problem and prove the existence and uniqueness of the weak solution. We then study the asymptotic behavior when one dimension of the domain tends to zero. In which case, the uniqueness result of the solution for the limit problem are also proved.


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