Bilateral Contact Problem with Adhesion between Two Bodies for Viscoelastic with Long-term Memory and Damage

We consider a quasistatic contact problem between two viscoelastic bodies with long-term memory and damage. The contact is bilateral and the tangential shear due to the bonding field is included. The adhesion of the contact surfaces is taken into account and modelled by a surface variable, the bonding field. We prove the existence of a unique weak solution to the problem. The proof is based on arguments of time-dependent variational inequalities, parabolic inequalities, differential equations and fixed point.

• adhesion
• viscoelasticity
• long-term memory
• damages
• quasistatic contact
• tangential shear
• weak solution existence and uniqueness
• time-dependent variational inequalities
• parabolic inequalities
• fixed points

• Contact Mechanics and Variational Inequalities
• Adhesion, Friction, and Surface Interactions
• Elasticity and Wave Propagation
• adhesion
• viscoelasticity
• long-term memory
• damages
• quasistatic contact
• tangential shear
• weak solution existence and uniqueness
• time-dependent variational inequalities
• Computational Theory and Mathematics
• Mechanics of Materials
• Computer Science
• Engineering