Complex variable element-free Galerkin method for viscoelasticity problems

Based on the complex variable moving least-square （CVMLS） approximation, the complex variable element-free Galerkin （CVEFG） method for two-dimensional viscoelasticity problems under the creep condition is presented in this paper. The Galerkin weak form is employed to obtain the equation system, and...

Full description

Saved in:
Bibliographic Details
Published inChinese physics B Vol. 21; no. 9; pp. 60 - 71
Main Author 程玉民 李荣鑫 彭妙娟
Format Journal Article
LanguageEnglish
Published 01.09.2012
Subjects
Approximation
Complex variables
Computational efficiency
Creep (materials)
Galerkin
Galerkin methods
Mathematical analysis
Mathematical models
Two dimensional
Viscoelasticity
复变量
弹性问题
无网格伽辽金方法
本质边界条件
移动最小二乘
节点分布
计算效率
Online AccessGet full text

Cover

More Information
Summary:Based on the complex variable moving least-square （CVMLS） approximation, the complex variable element-free Galerkin （CVEFG） method for two-dimensional viscoelasticity problems under the creep condition is presented in this paper. The Galerkin weak form is employed to obtain the equation system, and the penalty method is used to apply the essential boundary conditions, then the corresponding formulae of the CVEFG method for two-dimensional viscoelasticity problems under the creep condition are obtained. Compared with the element-free Galerkin （EFG） method, with the same node distribution, the CVEFG method has higher precision, and to obtain the similar precision, the CVEFG method has greater computational efficiency. Some numerical examples are given to demonstrate the validity and the efficiency of the method.
Bibliography:Cheng Yu-Min, Li Rong-Xin, and Peng Miao-Juan a） Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China b） Department of Civil Engineering, Shanghai University, Shanghai 200072, China
meshless method, complex variable moving least-square approximation, complex variableelement-free Galerkin method, viscoelasticity
Based on the complex variable moving least-square （CVMLS） approximation, the complex variable element-free Galerkin （CVEFG） method for two-dimensional viscoelasticity problems under the creep condition is presented in this paper. The Galerkin weak form is employed to obtain the equation system, and the penalty method is used to apply the essential boundary conditions, then the corresponding formulae of the CVEFG method for two-dimensional viscoelasticity problems under the creep condition are obtained. Compared with the element-free Galerkin （EFG） method, with the same node distribution, the CVEFG method has higher precision, and to obtain the similar precision, the CVEFG method has greater computational efficiency. Some numerical examples are given to demonstrate the validity and the efficiency of the method.
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/9/090205