Article Contents
Article Contents

A mathematical analysis of a dynamical frictional contact model in thermoviscoelasticity

• We are interested in the dynamic evolution of a thermoviscoelastic body which is on frictional contact with a rigid foundation. The contact is modeled by a general normal damped response condition with friction law and heat exchange. We establish the existence and uniqueness of the weak solution, under the condition that the viscosity is sufficiently strong. Finally the numerical analysis of a fully discrete scheme is presented.
Mathematics Subject Classification: 74M15, 74H20, 74S05, 74S20, 47H05, 47H10, 34G20.

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