Frictional contact problems for electro-viscoelastic materials with long-term memory, damage, and adhesion

We consider a quasistatic contact problem between two electro-viscoelastic bodies with long-term memory and damage. The contact is frictional and 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 derive a 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, a classical existence and uniqueness result on parabolic inequalities, and Banach fixed point theorem.

• frictional contact
• electro-viscoelasticity
• long-term memory
• damages
• adhesion
• normal compliance
• Coulomb friction
• quasistatic contact
• weak solutions
• existence and uniqueness of solutions
• evolution variational inequalities
• parabolic inequalities
• Banach fixed point theorem

• Contact Mechanics and Variational Inequalities
• Adhesion, Friction, and Surface Interactions
• Thermoelastic and Magnetoelastic Phenomena
• frictional contact
• electro-viscoelasticity
• long-term memory
• damages
• adhesion
• normal compliance
• Coulomb friction
• quasistatic contact
• Computational Theory and Mathematics
• Mechanics of Materials
• Computer Science
• Engineering