A meshless method with complex variables for elasticity

被引：82

作者：

Cheng, YM ^{[1
]}

Li, JH

机构：

[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

[2] Xian Univ Technol, Dept Bldg Engn, Xian 710048, Peoples R China

来源：

ACTA PHYSICA SINICA | 2005年 / 54卷 / 10期

关键词：

moving least-square approximation; moving least-square approximation with complex variables; meshless method; elasticity; meshless method with complex variables;

D O I：

10.7498/aps.54.4463

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The moving least-square approximation with complex variables (MLSCV) is developed on the basis of moving least-square approximation. The advantages of MLSCV are that the approximation function of a 2-D problem is formed with 1-D basis function, and the meshless method obtained has greater computational efficiency. A meshless method with complex variables for 2-D elasticity is then presented using MLSCV, and the formulae of the meshless method with complex variables are obtained. Compared with the conventional meshless method, the rneshless method with complex variables introduced in this paper has greater precision and computational efficiency. Some examples are given.

引用

页码：4463 / 4471

页数：9

共 22 条

[1] [Anonymous], J HYDRAULIC ENG
[2] A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
Atluri, SN
Zhu, T
[J]. COMPUTATIONAL MECHANICS, 1998, 22 (02) : 117 - 127
[3] ELEMENT-FREE GALERKIN METHODS
BELYTSCHKO, T
LU, YY
GU, L
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (02) : 229 - 256
[4] Meshless methods: An overview and recent developments
Belytschko, T
Krongauz, Y
Organ, D
Fleming, M
Krysl, P
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 139 (1-4) : 3 - 47
[5] Cai Yongchang, 2003, Acta Mechanica Sinica, V35, P187
[6] Cheng Yumin, 2003, Acta Mechanica Sinica, V35, P181
[7] An h-p adaptive method using clouds
Duarte, CA
Oden, JT
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 139 (1-4) : 237 - 262
[8] Moving particle finite element method
Hao, S
Park, HS
Liu, WK
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2002, 53 (08) : 1937 - 1958
[9] Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry
Hon, YC
Chen, W
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2003, 56 (13) : 1931 - 1948
[10] The meshless finite element method
Idelsohn, SR
Oñate, E
Calvo, N
Del Pin, F
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2003, 58 (06) : 893 - 912

← 1 2 3 →