Error estimates for a contact problem with the Tresca friction or the simplified Coulomb friction in elastic materials by the element-free Galerkin method

被引：10
|
作者：
Shen, Quan [1 ]
Ding, Rui [2 ]
Wang, Yu [2 ]
机构：
[1] Soochow Univ, Sch Rail Transportat, Suzhou 215131, Peoples R China
[2] Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2020年 / 77卷
关键词：
Contact problems; Element-free Galerkin method; Elliptic variational inequality; Penalty method; Duality algorithm; WAVE-PROPAGATION; HP-FEM; APPROXIMATION; CONVERGENCE; EXISTENCE; FRACTURE;
D O I：
10.1016/j.apm.2019.07.052
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This article discusses the error estimates for a contact problem with the Tresca friction or the simplified Coulomb friction in elastic materials by the element-free Galerkin method. The penalty method is adopted to deal with the clamped boundary conditions. The error estimates show that the convergence rate depends on the nodal spacing, the penalty factor and the largest degree of basis functions in the moving least-squares approximation. Numerical examples validate our theoretical results. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：690 / 708
页数：19
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