A bilateral contact problem with adhesion and damage between two viscoelastic bodies

This paper deals with the study of a mathematical model which describes the bilateral, frictionless adhesive contact between two viscoelastic bodies with damage. The adhesion of the contact surfaces is con- sidered and is modeled with a surface variable, the bonding field, whose evolution is described by a first order differential equation. We establish a variational formulation for the problem and prove the existence and uniqueness result of the solution. The proofs are based on time-dependent variational equalities, a classical existence and uniqueness result on parabolic equations, differential equations, and fixed-point arguments.

• bilateral contact
• adhesive contact
• frictionless contact
• viscoelastic bodies
• damages
• variational formulation
• existence and uniqueness of solutions
• time-dependent variational inequalities
• parabolic equations
• fixed point argument

• Contact Mechanics and Variational Inequalities
• Adhesion, Friction, and Surface Interactions
• Elasticity and Wave Propagation
• bilateral contact
• adhesive contact
• frictionless contact
• viscoelastic bodies
• damages
• variational formulation
• existence and uniqueness of solutions
• time-dependent variational inequalities
• Computational Theory and Mathematics
• Mechanics of Materials
• Computer Science
• Engineering