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arXiv · 1905.05541

Numerical Analysis of a Contact Problem with Wear

Danfu Han·Weimin Han·Michal Jureczka·Anna Ochal
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Abstract

This paper represents a sequel to the previous one, where numerical solution of a quasistatic contact problem is considered for an elastic body in frictional contact with a moving foundation. The model takes into account wear of the contact surface of the body caused by the friction. Some preliminary error analysis for a fully discrete approximation of the contact problem was provided in the previous paper. In this paper, we consider a more general fully discrete numerical scheme for the contact problem, derive optimal order error bounds and present computer simulation results showing that the numerical convergence orders match the theoretical predictions.

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Danfu Han, Weimin Han, Michal Jureczka, Anna Ochal. 2019-05-14. Numerical Analysis of a Contact Problem with Wear. https://arxiv.org/abs/1905.05541

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