Numerical analysis of a contact problem with wear

被引：9

作者：

Han, Danfu ^{[1
]}

Han, Weimin ^{[2
,3
]}

Jureczka, Michal ^{[4
]}

Ochal, Anna ^{[4
]}

机构：

[1] Hangzhou Normal Univ, Dept Math, Hangzhou, Peoples R China

[2] Univ Iowa, Program Appl Math & Computat Sci AMCS, Iowa City, IA 52242 USA

[3] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[4] Jagiellonian Univ Krakow, Fac Math & Comp Sci, Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2020年 / 79卷 / 10期

关键词：

Quasistatic contact problem; Variational inequality; Numerical methods; Optimal order error estimate; FRICTION;

D O I：

10.1016/j.camwa.2019.12.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页码：2942 / 2951

页数：10

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