Dynamic contact problem with adhesion and damage between thermo–electro–elasto-viscoplastic bodies

We study of a dynamic contact problem between two thermo–electro–elasto-viscoplastic bodies with damage and adhesion. The contact is frictionless and is modeled with normal compliance condition. 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 evolutionary variational inequalities, parabolic inequalities, differential equations, and fixed point theorem.

• dynamic contact problems
• adhesion
• damages
• normal compliance
• frictionless contact
• weak solution existence and uniqueness
• variational formulation
• evolution variational inequalities
• parabolic inequalities
• fixed point theorems

• Contact Mechanics and Variational Inequalities
• Thermoelastic and Magnetoelastic Phenomena
• Adhesion, Friction, and Surface Interactions
• dynamic contact problems
• adhesion
• damages
• normal compliance
• frictionless contact
• weak solution existence and uniqueness
• variational formulation
• evolution variational inequalities
• Computational Theory and Mathematics
• Mechanics of Materials
• Computer Science
• Engineering