Asymptotic study of a frictionless contact problem between two elastic bodies

We consider a mathematical model which describes the bilateral, frictionless contact between two elastic bodies. We will establish a variational formulation for the problem and prove the existence and uniqueness of the weak solution. We then study the asymptotic behavior when one dimension of the domain tends to zero. In which case, the uniqueness result of the solution for the limit problem are also proved.

• frictionless contact
• bilateral contact
• elastic bodies
• variational formulation
• weak solutions
• existence and uniqueness of solutions
• asymptotic analysis
• limit problem
• thin domains

• Contact Mechanics and Variational Inequalities
• Adhesion, Friction, and Surface Interactions
• Advanced Numerical Methods in Computational Mathematics
• frictionless contact
• bilateral contact
• elastic bodies
• variational formulation
• weak solutions
• existence and uniqueness of solutions
• asymptotic analysis
• limit problem
• Computational Theory and Mathematics
• Mechanics of Materials
• Computational Mechanics
• Computer Science
• Engineering