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

被引：97
|
作者：
Bai Fu-Nong [1 ,2 ]
Li Dong-Ming [1 ,2 ]
Wang Jian-Fei [1 ,2 ]
Cheng Yu-Min [1 ,2 ]
机构：
[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
[2] Shanghai Univ, Shanghai Key Lab Mech Energy Engn, Shanghai 200072, Peoples R China
来源：
CHINESE PHYSICS B | 2012年 / 21卷 / 02期
基金：
中国国家自然科学基金;
关键词：
meshless method; improved complex variable moving least-squares approximation; improved complex variable element-free Galerkin method; elasticity; MESHLESS MANIFOLD METHOD; KERNEL PARTICLE METHOD;
D O I：
10.1088/1674-1056/21/2/020204
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：10
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