We consider a mathematical model which describes the static frictional contact between a piezoelectric body and a foundation. We use a nonlinear electro-elastic constitutive law to model the piezoelectric material and the static version of Tresca's law to model the friction. We derive a variational formulation for the model which is in a form of a coupled system involving the displacement and the electric potential fields. Then we provide the existence of a unique weak solution to the model. The proof is based on arguments of variational inequalities and fixed point.

Key Words: Static process, frictional contact, piezoelectric material, Tresca's law, variational inequality, fixed point, weak solution.

2000 Mathematics Subject Classification: Primary: 74M10,
Secondary: 74M15,74F15,49J40.