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Numerical analysis of a contact problem with wear.

Authors :
Han, Danfu
Han, Weimin
Jureczka, Michal
Ochal, Anna
Source :
Computers & Mathematics with Applications. May2020, Vol. 79 Issue 10, p2942-2951. 10p.
Publication Year :
2020

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08981221
Volume :
79
Issue :
10
Database :
Academic Search Index
Journal :
Computers & Mathematics with Applications
Publication Type :
Academic Journal
Accession number :
142669928
Full Text :
https://doi.org/10.1016/j.camwa.2019.12.027