Quasistatic contact problem between thermo-electroelastic bodies with long-term memory and adhesion

We study of a quasistatic frictional contact problem between two thermo-electroelastic bodies with adhesion. The temperature of the materials caused by elastic deformations. The contact is modelled with a version of normal compliance condition and the associated Coulomb’s law of friction in which the adhesion of contact surfaces is taken into account. We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem. The proof is based on a classical existence anduniqueness result on parabolic equalities, differential equations and fixed point arguments.

• quasistatic contact problem
• adhesion
• long-term memory
• normal compliance
• Coulomb friction
• weak solution existence and uniqueness
• variational formulation
• parabolic equations
• fixed point argument

• Contact Mechanics and Variational Inequalities
• Thermoelastic and Magnetoelastic Phenomena
• Adhesion, Friction, and Surface Interactions
• quasistatic contact problem
• adhesion
• long-term memory
• normal compliance
• Coulomb friction
• weak solution existence and uniqueness
• variational formulation
• parabolic equations
• Computational Theory and Mathematics
• Mechanics of Materials
• Computer Science
• Engineering