A nonsmooth optimization approach for hemivariational inequalities with applications in Contact Mechanics
Provides a theoretical and numerical framework for solving hemivariational inequalities arising in contact mechanics, but is domain-specific and incremental.
The paper develops a nonsmooth optimization approach for hemivariational inequalities and proves existence/uniqueness of solutions, with application to a static frictional contact problem in elasticity. Numerical simulations demonstrate the method.
In this paper we introduce an abstract nonsmooth optimization problem and prove existence and uniqueness of its solution. We present a numerical scheme to approximate this solution. The theory is later applied to a sample static contact problem describing an elastic body in frictional contact with a foundation. This contact is governed by a nonmonotone friction law with dependence on normal and tangential components of displacement. Finally, computational simulations are performed to illustrate obtained results.