Study of a contact problem with normal compliance and nonlocal friction

Arezki Touzaline
2012 Applicationes Mathematicae  
We consider a static frictional contact between a nonlinear elastic body and a foundation. The contact is modelled by a normal compliance condition such that the penetration is restricted with unilateral constraint and associated to the nonlocal friction law. We derive a variational formulation and prove its unique weak solvability if the friction coefficient is sufficiently small. Moreover, we prove the continuous dependence of the solution on the contact conditions. Also we study the finite
more » ... ement approximation of the problem and obtain an error estimate.
doi:10.4064/am39-1-3 fatcat:p3h3fadgvjfupkwv4x5jiut5xq