In this paper, we study of a mathematical problem for dynamic contact between two thermo-electro-viscoelastic bodies with normal compliance, adhesion and damage. The damage of the material caused by elastic \n deformations. The evolution of the damage is described by an inclusion of parabolic type. The evolution of the bonding field is described by a first order differential equation. We derive variational formulation for the model and prove an existence and uniqueness result of the weak solution. The proof is based on arguments of time dependent variational inequalities, parabolic inequalities and Banach fixed point theorem.

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