The element-free Galerkin method for the variational-hemivariational inequality of the dynamic Signorini-Tresca contact problems with friction in elastic materials

被引：0

作者：

Shen, Quan ^{[1
]}

Ding, Rui ^{[2
]}

Yao, Yuan ^{[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：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 116卷

基金：

中国国家自然科学基金;

关键词：

Element -free Galerkin method; Moving least -squares approximation; Penalty method; Variational-hemivariational inequalities; NUMERICAL-ANALYSIS; MESHLESS METHOD; ERROR ANALYSIS; EQUATION; PROPAGATION; FRACTURE;

D O I：

10.1016/j.cnsns.2022.106816

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The element-free Galerkin method is presented for the variational-hemivariational inequality of the dynamic Signorini-Tresca contact problems with friction in elastic materials. The Dirichlet boundary conditions and the constrained conditions are imposed by the penalty method. The error estimates of the element-free Galerkin method indicate that the convergence order depends on the spatial step, the time step, the largest degree of basis functions in the moving least-squares approximation and the penalty factor. Numerical examples verify our theoretical results. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：25

共 40 条

[21] Analysis of a general dynamic history-dependent variational hemivariational inequality [J].

Han, Weimin ;

Migorski, Stanislaw ;

Sofonea, Mircea .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 36 :69-88

[22]

Kikuchi N, 1988, CONTACT PROBLEMS ELA, V8

[23]

LANCASTER P, 1981, MATH COMPUT, V37, P141, DOI 10.1090/S0025-5718-1981-0616367-1

[24] Error estimates for the moving least-square approximation and the element-free Galerkin method in n-dimensional spaces [J].

Li, Xiaolin .

APPLIED NUMERICAL MATHEMATICS, 2016, 99 :77-97

[25] Research on rigid/visco-plastic element-free Galerkin method and key simulation techniques for three-dimensional bulk metal forming processes [J].

Lu, Ping ;

Zhao, Guoqun ;

Guan, Yanjin ;

Wu, Xin .

INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2011, 53 (5-8) :485-503

[26] ELEMENT-FREE GALERKIN METHOD FOR WAVE-PROPAGATION AND DYNAMIC FRACTURE [J].

LU, YY ;

BELYTSCHKO, T ;

TABBARA, M .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1995, 126 (1-2) :131-153

[27] Variational-hemivariational inequality for a class of dynamic nonsmooth frictional contact problems [J].

Migorski, Stanislaw ;

Gamorski, Piotr .

APPLIED MATHEMATICS AND COMPUTATION, 2019, 346 :465-479

[28] Penalty and regularization method for variational-hemivariational inequalities with application to frictional contact [J].

Migorski, Stanislaw ;

Zeng, Shengda .

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2018, 98 (08) :1503-1520

[29] A Class of Variational-Hemivariational Inequalities in Reflexive Banach Spaces [J].

Migorski, Stanislaw ;

Ochal, Anna ;

Sofonea, Mircea .

JOURNAL OF ELASTICITY, 2017, 127 (02) :151-178

[30] History-dependent variational-hemivariational inequalities in contact mechanics [J].

Migorski, Stanislaw ;

Ochal, Anna ;

Sofonea, Mircea .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 22 :604-618

← 1 2 3 4 →