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

[1] Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique [J].

Abbaszadeh, Mostafa ;

Dehghan, Mehdi .

APPLIED NUMERICAL MATHEMATICS, 2020, 150 :274-294

[2] Modeling the viscoplastic flow behavior of a 20MnCr5 steel grade deformed under hot-working conditions, employing a meshless technique [J].

Alvarez Hostos, J. C. ;

Bencomo, A. D. ;

Cabrera, E. S. Puchi ;

Guerin, J. D. ;

Dubar, L. .

INTERNATIONAL JOURNAL OF PLASTICITY, 2018, 103 :119-142

[3] CRACK-PROPAGATION BY ELEMENT-FREE GALERKIN METHODS [J].

BELYTSCHKO, T ;

LU, YY ;

GU, L .

ENGINEERING FRACTURE MECHANICS, 1995, 51 (02) :295-315

[4]

Belytschko T, 1996, INT J NUMER METH ENG, V39, P923, DOI 10.1002/(SICI)1097-0207(19960330)39:6<923::AID-NME887>3.0.CO

[5]

2-W

[6] FRACTURE AND CRACK-GROWTH BY ELEMENT FREE GALERKIN METHODS [J].

BELYTSCHKO, T ;

GU, L ;

LU, YY .

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING, 1994, 2 (3A) :519-534

[7] ELEMENT-FREE GALERKIN METHODS [J].

BELYTSCHKO, T ;

LU, YY ;

GU, L .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (02) :229-256

[8] Space adaptive finite element methods for dynamic Signorini problems [J].

Blum, Heribert ;

Rademacher, Andreas ;

Schroeder, Andreas .

COMPUTATIONAL MECHANICS, 2009, 44 (04) :481-491

[9] A TIME INTEGRATION ALGORITHM FOR STRUCTURAL DYNAMICS WITH IMPROVED NUMERICAL DISSIPATION - THE GENERALIZED-ALPHA METHOD [J].

CHUNG, J ;

HULBERT, GM .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1993, 60 (02) :371-375

[10] The element-free Galerkin method based on moving least squares and moving Kriging approximations for solving two-dimensional tumor-induced angiogenesis model [J].

Dehghan, Mehdi ;

Narimani, Niusha .

ENGINEERING WITH COMPUTERS, 2020, 36 (04) :1517-1537

← 1 2 3 4 →