Variational Analysis of an Electro-Elasto-Viscoplastic Contact Problem With Friction and Wear

We consider a dynamic contact problem with wear between two elastic-viscoplastic piezoelectric bodies. The contact is frictional and bilateral which results in the wear of contacting surface. The evolution of the wear function is described with Archard's law. 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 nonlinear evolution equations with monotone operators, a classical existence and uniqueness result on parabolic inequalities, differential equations and fixed point arguments.

• frictional contact
• wear
• Archard's law
• piezoelectric materials
• dynamic contact problems
• variational formulation
• weak solution existence and uniqueness
• monotone operators
• nonlinear evolution equations
• parabolic inequalities
• fixed point argument

• Contact Mechanics and Variational Inequalities
• Adhesion, Friction, and Surface Interactions
• Elasticity and Wave Propagation
• frictional contact
• wear
• Archard's law
• piezoelectric materials
• dynamic contact problems
• variational formulation
• weak solution existence and uniqueness
• monotone operators
• Computational Theory and Mathematics
• Mechanics of Materials
• Computer Science
• Engineering