A dynamic contact problem with unilateral constraint and adhesion in viscoplasticity

This paper discusses a contact dynamics problem with Signorini condition, unilateral constraint, and adhesion for viscoplastic materials. The weak solution existence and uniqueness have been established by employing the time discretization, a quasi-static inequality, and the Banach fixed point theorem to present a variational formulation of the problem.

• dynamic contact problems
• unilateral constraints
• adhesion
• viscoplasticity
• Signorini conditions
• existence of weak solutions
• time discretization
• Banach fixed point theorem
• variational formulation

• Contact Mechanics and Variational Inequalities
• Adhesion, Friction, and Surface Interactions
• Advanced Numerical Methods in Computational Mathematics
• dynamic contact problems
• unilateral constraints
• adhesion
• viscoplasticity
• Signorini conditions
• existence of weak solutions
• time discretization
• Banach fixed point theorem
• Computational Theory and Mathematics
• Mechanics of Materials
• Computational Mechanics
• Computer Science
• Engineering