A nonsmooth optimization approach for hemivariational inequalities with applications in Contact Mechanics

11 Mar 2019  ·  Jureczka Michal, Ochal Anna ·

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. read more

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Numerical Analysis