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arXiv · 1903.04241

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

Michal Jureczka·Anna Ochal
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Abstract

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.

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Michal Jureczka, Anna Ochal. 2019-03-11. A nonsmooth optimization approach for hemivariational inequalities with applications in Contact Mechanics. https://arxiv.org/abs/1903.04241

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