Weak Solvability of Frictional Problems for Piezoelectric Bodies in Contact with a Conductive Foundation

We study the weak solvability of a general m −dimensional (m = 2, 3) mechanical model describing the contact between a piezoelectric body and a conductive foundation. The piezoelectric effect is characterized by the coupling between the mechanical and the electrical properties of the materials. This coupling leads to the appearance of electric potential when mechanical stress is present and conversely, mechanical stress is generated when electric potential is applied.