Complex variable element-free Galerkin method for viscoelasticity problems

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

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.

Keywords: meshless method complex variable moving least-square approximation complex variable element-free Galerkin method viscoelasticity

Received: 06 April 2012
Revised: 18 April 2012
Accepted manuscript online:

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)
	46.35.+z	(Viscoelasticity, plasticity, viscoplasticity)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11171208) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30106).

Corresponding Authors: Cheng Yu-Min
E-mail: ymcheng@shu.edu.cn

Cite this article:

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 2012 Chin. Phys. B 21 090205

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