THE INTERPOLATING ELEMENT-FREE GALERKIN METHOD FOR THE VARIATIONAL-HEMIVARIATIONAL INEQUALITY OF THE FRICTIONLESS ELASTIC CONTACT PROBLEM WITH NORMAL COMPLIANCE AND UNILATERAL CONSTRAINT

被引：0
|
作者：
Ding, Rui [1 ]
Shen, Quan [2 ]
Lu, Xiaoyue [1 ]
机构：
[1] Soochow Univ, Sch Math Sci, Suzhou, Peoples R China
[2] Soochow Univ, Sch Rail Transportat, Suzhou, Peoples R China
来源：
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES | 2022年 / 17卷 / 04期
基金：
中国国家自然科学基金;
关键词：
interpolating element-free Galerkin method; interpolating moving least-squares approximation; variational-hemivariational inequality; normal compliance; unilateral constraint; NUMERICAL-ANALYSIS; IEFG METHOD; CONVERGENCE ANALYSIS; PROPAGATION; FRACTURE;
D O I：
10.2140/jomms.2022.17.365
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A mathematical model which describes the frictionless contact problem with normal compliance and unilateral constraint is considered in this paper. The material is elastic. The contact condition is the normal compliance condition with unilateral constraint. This mathematical model is solved by the inter-polating element-free Galerkin method numerically. Compared with the element-free Galerkin method, the interpolating element-free Galerkin method can impose the Dirichlet boundary conditions exactly. Numerical examples demonstrate the effectiveness of the interpolating element-free Galerkin method.
引用
收藏
页码：365 / 379
页数：16
相关论文
共 28 条
  • [1] The element-free Galerkin method for the variational-hemivariational inequality of the dynamic Signorini-Tresca contact problems with friction in elastic materials
    Shen, Quan
    Ding, Rui
    Yao, Yuan
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 116
  • [2] Variational-hemivariational approach to quasistatic viscoplastic contact problem with normal compliance, unilateral constraint, memory term, friction and damage
    Kulig, Anna
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 44 : 401 - 416
  • [3] Variational-hemivariational inverse problem for electro-elastic unilateral frictional contact problem
    Baiz, Othmane
    Benaissa, Hicham
    Faiz, Zakaria
    El Moutawakil, Driss
    [J]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2021, 29 (06): : 917 - 934
  • [4] The interpolating element-free Galerkin method for elastic large deformation problems
    WU Qiang
    PENG Piao Piao
    CHENG Yu Min
    [J]. Science China(Technological Sciences), 2021, (02) - 374
  • [5] The interpolating element-free Galerkin method for elastic large deformation problems
    WU Qiang
    PENG Piao Piao
    CHENG Yu Min
    [J]. Science China Technological Sciences, 2021, 64 (02) : 364 - 374
  • [6] The interpolating element-free Galerkin method for elastic large deformation problems
    Wu, Qiang
    Peng, PiaoPiao
    Cheng, YuMin
    [J]. SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2021, 64 (02) : 364 - 374
  • [7] The interpolating element-free Galerkin method for elastic large deformation problems
    Qiang Wu
    PiaoPiao Peng
    YuMin Cheng
    [J]. Science China Technological Sciences, 2021, 64 : 364 - 374
  • [8] Virtual Element Method for a History-Dependent Variational-Hemivariational Inequality in Contact Problems
    Xiao, Wenqiang
    Ling, Min
    [J]. JOURNAL OF SCIENTIFIC COMPUTING, 2023, 96 (03)
  • [9] Virtual Element Method for a History-Dependent Variational-Hemivariational Inequality in Contact Problems
    Wenqiang Xiao
    Min Ling
    [J]. Journal of Scientific Computing, 2023, 96
  • [10] ANALYSIS OF ROTHE METHOD FOR A VARIATIONAL-HEMIVARIATIONAL INEQUALITY IN ADHESIVE CONTACT PROBLEM FOR LOCKING MATERIALS
    Cheng, Xiaoliang
    Xuan, Hailing
    Xiao, Qichang
    [J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021, 18 (03) : 287 - 310
123