Analysis of elastoplasticity problems using an improved complex variable element-free Galerkin method

doi:10.1088/1674-1056/24/10/100202

中国物理B ›› 2015, Vol. 24 ›› Issue (10): 100202-100202.doi: 10.1088/1674-1056/24/10/100202

Analysis of elastoplasticity problems using an improved complex variable element-free Galerkin method

程玉民^a, 刘超^a, 白福浓^a, 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:2015-03-24 修回日期:2015-05-05 出版日期:2015-10-05 发布日期:2015-10-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11171208 and U1433104).

Analysis of elastoplasticity problems using an improved complex variable element-free Galerkin method

Cheng Yu-Min (程玉民)^a, Liu Chao (刘超)^a, Bai Fu-Nong (白福浓)^a, 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:2015-03-24 Revised:2015-05-05 Online:2015-10-05 Published:2015-10-05
Contact: Cheng Yu-Min E-mail:ymcheng@shu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11171208 and U1433104).

摘要/Abstract

摘要：

In this paper, based on the conjugate of the complex basis function, a new complex variable moving least-squares approximation is discussed. Then using the new approximation to obtain the shape function, an improved complex variable element-free Galerkin (ICVEFG) method is presented for two-dimensional (2D) elastoplasticity problems. Compared with the previous complex variable moving least-squares approximation, the new approximation has greater computational precision and efficiency. Using the penalty method to apply the essential boundary conditions, and using the constrained Galerkin weak form of 2D elastoplasticity to obtain the system equations, we obtain the corresponding formulae of the ICVEFG method for 2D elastoplasticity. Three selected numerical examples are presented using the ICVEFG method to show that the ICVEFG method has the advantages such as greater precision and computational efficiency over the conventional meshless methods.

关键词: meshless method, complex variable moving least-squares approximation, improved complex variable element-free Galerkin method, elastoplasticity

Abstract:

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

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

02.60.Cb

02.70.-c (Computational techniques; simulations) 02.90.+p (Other topics in mathematical methods in physics) 46.15.-x (Computational methods in continuum mechanics)

程玉民, 刘超, 白福浓, 彭妙娟. Analysis of elastoplasticity problems using an improved complex variable element-free Galerkin method[J]. 中国物理B, 2015, 24(10): 100202-100202.

Cheng Yu-Min (程玉民), Liu Chao (刘超), Bai Fu-Nong (白福浓), Peng Miao-Juan (彭妙娟). Analysis of elastoplasticity problems using an improved complex variable element-free Galerkin method[J]. Chin. Phys. B, 2015, 24(10): 100202-100202.

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Analysis of elastoplasticity problems using an improved complex variable element-free Galerkin method

Analysis of elastoplasticity problems using an improved complex variable element-free Galerkin method

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