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arXiv · 1901.07845

Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem

Piotr Bartman·Krzysztof Bartosz·Michał Jureczka·Paweł Szafraniec
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Abstract

In this work, we analyze a non-clamped dynamic viscoelastic contact problem involving thermal effect. The friction law is described by a non-monotone relation between the tangential stress and the tangential velocity. This leads to a system of second-order inclusion for displacement and a parabolic equation for temperature. We provide a fully discrete approximation of the problem and find optimal error estimates without any smallness assumption on the data. The theoretical result is illustrated by numerical simulations.

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Piotr Bartman, Krzysztof Bartosz, Michał Jureczka, Paweł Szafraniec. 2019-01-23. Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem. https://doi.org/10.1016/j.nonrwa.2023.103870

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