A dynamic Tresca’s frictional contact problem with damage for thermo elastic-viscoplastic bodies
DOI:
https://doi.org/10.24193/subbmath.2019.3.13Keywords:
elastic-viscoplastic, temperature, variational inequality, fixed point.Abstract
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 in´equalities, differentiel equations and fixed point argument.
Mathematics Subject Classification (2010): 74M10, 74M15, 74F05, 74R05, 74C10.
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