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Authors: ILYAS BOUKAROURA, SEDDIK DJABI.
We consider a dynamic contact problem between an elastic-viscoplastic
body and a rigid obstacle. The contact is frictional and bilateral, the friction is modeled with Tresca’s law with heat exchange.We employ the elastic-viscoplastic with damage constitutive law for the material. The evolution of the damage is described by an inclusion of parabolic type.We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem.
The proof is based on a classical existence and uniqueness result on parabolic inéqualities, differentiel equations and fixed point argument.
Mathematics Subject Classification (2010): 74M10, 74M15, 74F05, 74R05, 74C10.
Keywords: elastic-viscoplastic, temperature, variational inequality, fixed point.
