A novel complex variable element-free Galerkin method for two-dimensional large deformation problems

被引：87
|
作者：
Li, Dongming [1 ]
Bai, Funong [2 ]
Cheng, Yumin [2 ]
Liew, K. M. [1 ]
机构：
[1] City Univ Hong Kong, Dept Civil & Architectural Engn, Kowloon, Hong Kong, Peoples R China
[2] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2012年 / 233卷
基金：
中国国家自然科学基金;
关键词：
Moving least-squares (MLS) approximation; Improved complex variable moving least-squares (ICVMLS) approximation; Element-free Galerkin (EFG) method; Improved complex variable element-free; Galerkin (ICVEFG) method; Meshless method; Large deformation; KERNEL PARTICLE METHODS; FREE-METHOD BEFM; 2D FRACTURE PROBLEMS; MESHLESS METHOD; NONLINEAR-ANALYSIS; LARGE DEFLECTION; EFG METHOD; SIMULATION; IMPLICIT; PLATES;
D O I：
10.1016/j.cma.2012.03.015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Based on complex variable theory and moving least-squares (MLS) approximation, the improved complex variable moving least-squares (ICVMLS) approximation is discussed in this paper. Compared with complex variable moving least-squares (CVMLS) approximation, the function in the ICVMLS approximation has an explicit physics meaning. By using a new basis function, the ICVMLS approximation can obtain greater precision and computational efficiency. Based on the ICVMLS approximation, an improved complex variable element-free Galerkin (ICVEFG) method, which belongs to a novel element free Galerkin (EFG) method, is presented for two-dimensional large deformation problems. The Galerkin weak form is employed to obtain the equations, while the penalty method is used to apply the essential boundary conditions. Then the corresponding formulae of the ICVEFG method for two-dimensional large deformation problems are obtained. Compared with the EFG method, the ICVEFG method has greater precision and efficiency. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：1 / 10
页数：10
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