An improved complex variable element-free Galerkin method for two-dimensional elasticity problems

doi:10.1088/1674-1056/21/2/020204

中国物理B ›› 2012, Vol. 21 ›› Issue (2): 20204-020204.doi: 10.1088/1674-1056/21/2/020204

白福浓¹ ²,李东明¹ ²,王健菲¹ ²,程玉民¹ ²

收稿日期:2011-08-02 修回日期:2011-08-19 出版日期:2012-01-30 发布日期:2012-01-30
通讯作者: 程玉民,ymcheng@shu.edu.cn E-mail:ymcheng@shu.edu.cn

An improved complex variable element-free Galerkin method for two-dimensional elasticity problems

Bai Fu-Nong(白福浓), Li Dong-Ming(李东明) Wang Jian-Fei(王健菲), and Cheng Yu-Min(程玉民)^†

a. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
b. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China

Received:2011-08-02 Revised:2011-08-19 Online:2012-01-30 Published:2012-01-30
Contact: Cheng Yu-Min,ymcheng@shu.edu.cn E-mail:ymcheng@shu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11026223), the Shanghai Leading Academic Discipline Project, China (Grant No. S30106), and the Innovation Fund Project for Graduate Student of Shanghai University, China (Grant No. SHUCX112359).

摘要/Abstract

Abstract: In this paper, the improved complex variable moving least-squares (ICVMLS) approximation is presented. The ICVMLS approximation has an explicit physics meaning. Compared with the complex variable moving least-squares (CVMLS) approximations presented by Cheng and Ren, the ICVMLS approximation has a great computational precision and efficiency. Based on the element-free Galerkin (EFG) method and the ICVMLS approximation, the improved complex variable element-free Galerkin (ICVEFG) method is presented for two-dimensional elasticity problems, and the corresponding formulae are obtained. Compared with the conventional EFG method, the ICVEFG method has a great computational accuracy and efficiency. For the purpose of demonstration, three selected numerical examples are solved using the ICVEFG method.

Key words: meshless method, improved complex variable moving least-squares approximation, improved complex variable element-free Galerkin method, elasticity

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

02.60.Cb

02.60.Lj (Ordinary and partial differential equations; boundary value problems) 46.25.-y (Static elasticity)

白福浓, 李东明, 王健菲, 程玉民. [J]. 中国物理B, 2012, 21(2): 20204-020204.

Bai Fu-Nong(白福浓), Li Dong-Ming(李东明) Wang Jian-Fei(王健菲), and Cheng Yu-Min(程玉民) . An improved complex variable element-free Galerkin method for two-dimensional elasticity problems[J]. Chin. Phys. B, 2012, 21(2): 20204-020204.

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