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Keywords:
magneto-electro-elastic material; variational-hemivariational inequality; variational equation; nonconvex function; non-monotone interface law; normal compliance; unilateral constraint; slip dependent friction
magneto-electro-elastic material; variational-hemivariational inequality; variational equation; nonconvex function; non-monotone interface law; normal compliance; unilateral constraint; slip dependent friction
Summary:
We consider a static frictional contact problem between a magneto-electro-elastic body and a foundation. We assume that the friction law is non-monotone, slip dependent, and associated with a non-monotone normal compliance, which is restricted by a unilateral constraint. We derive a variational formulation for the model, which is a system that couples a variational-hemivariational inequality with a variational equation. Then, we apply abstract results to prove its weak solvability. Finally, under additional assumptions on the contact functions, we prove the uniqueness of the solution.
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