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Numerical analysis of a contact problem with wear
Journal article   Peer reviewed

Numerical analysis of a contact problem with wear

Danfu Han, Weimin Han, Michal Jureczka and Anna Ochal
Computers & mathematics with applications (1987), Vol.79(10), pp.2942-2951
05/15/2020
DOI: 10.1016/j.camwa.2019.12.027
url
https://ruj.uj.edu.pl/xmlui/handle/item/154735View
Open Access

Abstract

This paper represents a sequel to Jureczka and Ochal (2019) 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 Jureczka and Ochal (2019). 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.
Numerical methods Optimal order error estimate Quasistatic contact problem Variational inequality

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