A quasistatic frictional contact problem is studied. The material behavior is modeled with a nonlinear electro-visco-elastic constitutive law, allowing piezoelectric effects. The body may come into contact with a rigid obstacle. Contact is described with the Signorini condition, a version of Coulomb's law of dry friction, and a regularized electrical conductivity condition. We derive a variational formulation of the problem, then, under a smallness assumption on the coefficient of friction, we prove an existence and uniqueness result of a weak solution for the model. The proof is based on arguments of elliptic variational inequalities and fixed points of operators.
A dynamic contact problem is considered in the paper. The material behavior is described by electrovisco-elastic constitutive law with piezoelectric effects. The body is in contact with a rigide obstacle. Contact is described with the Signorini condition, a version of Coulomb's law of dry friction, and with a regularized electrical conductivity condition. A variational formulation of the problem is derived. Under the assumption that coefficient of friction is small, existence and uniqueness of a weak solution of the problem is proved. The proof is based on evolutionary variational inequalities and fixed points of operators.
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