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arXiv · 2003.12369

Solving Quasistatic Contact Problems Using Nonsmooth Optimization Approach

Michal Jureczka·Anna Ochal·Weimin Han
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Abstract

This paper is devoted to a study of time-dependent hemivariational inequality. We prove existence and uniqueness of its solution, provide fully discrete scheme and reformulate this scheme as a series of nonsmooth optimization problems. This theory is later applied to a sample quasistatic contact problem describing a viscoelastic body in frictional contact with a foundation. This contact is governed by a nonmonotone friction law with dependence on normal component of displacement and tangential component of velocity. Finally, computational simulations are performed to illustrate obtained results.

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Michal Jureczka, Anna Ochal, Weimin Han. 2020-03-27. Solving Quasistatic Contact Problems Using Nonsmooth Optimization Approach. https://arxiv.org/abs/2003.12369

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