Complex variable element-free Galerkin method for viscoelasticity problems

doi:10.1088/1674-1056/21/9/090205

中国物理B ›› 2012, Vol. 21 ›› Issue (9): 90205-090205.doi: 10.1088/1674-1056/21/9/090205

Complex variable element-free Galerkin method for viscoelasticity problems

程玉民^a, 李荣鑫^b, 彭妙娟^b

a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
b Department of Civil Engineering, Shanghai University, Shanghai 200072, China

收稿日期:2012-04-06 修回日期:2012-04-18 出版日期:2012-08-01 发布日期:2012-08-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11171208) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30106).

Complex variable element-free Galerkin method for viscoelasticity problems

Cheng Yu-Min (程玉民)^a, Li Rong-Xin (李荣鑫)^b, Peng Miao-Juan (彭妙娟)^b

a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
b Department of Civil Engineering, Shanghai University, Shanghai 200072, China

Received:2012-04-06 Revised:2012-04-18 Online:2012-08-01 Published:2012-08-01
Contact: Cheng Yu-Min E-mail:ymcheng@shu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11171208) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30106).

摘要/Abstract

摘要： 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 a higher precision, and to obtain the similar precision, the CVEFG method has a greater computational efficiency. Some numerical examples are given to demonstrate the validity and the efficiency of the method in this paper.

关键词: meshless method, complex variable moving least-square approximation, complex variable element-free Galerkin method, viscoelasticity

Abstract: 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 a higher precision, and to obtain the similar precision, the CVEFG method has a greater computational efficiency. Some numerical examples are given to demonstrate the validity and the efficiency of the method in this paper.

Key words: meshless method, complex variable moving least-square approximation, complex variable element-free Galerkin method, viscoelasticity

中图分类号: (Numerical simulation; solution of equations)

02.60.Cb

02.60.Lj (Ordinary and partial differential equations; boundary value problems) 46.35.+z (Viscoelasticity, plasticity, viscoplasticity)

程玉民, 李荣鑫, 彭妙娟. Complex variable element-free Galerkin method for viscoelasticity problems[J]. 中国物理B, 2012, 21(9): 90205-090205.

Cheng Yu-Min (程玉民), Li Rong-Xin (李荣鑫), Peng Miao-Juan (彭妙娟). Complex variable element-free Galerkin method for viscoelasticity problems[J]. Chin. Phys. B, 2012, 21(9): 90205-090205.

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Complex variable element-free Galerkin method for viscoelasticity problems

Complex variable element-free Galerkin method for viscoelasticity problems

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