On the problem of dynamic bi-frictional contact of thermo-electro-viscoelastic materials

In this work, we will investigate a contact problem that arises in the interaction of two thermo-electro-viscoelastic bodies with adhesion and damage. The bilateral contact is modeled through Tresca's friction law, and the materials undergo damage as a result of elastic deformations. The existence and uniqueness of the weak solution is obtained through the derivation of a variational formulation. The proof mainly relies on the results of variable evolutionary inequalities, ordinary differential equations and fixed-point theory.