Reproducing kernel particle method with complex variables for elasticity

被引：65
作者：
Chen Li [1 ,2 ]
Cheng Yu-Min [1 ]
机构：
[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
[2] Changan Univ, Dept Engn Mech, Xian 710064, Peoples R China
来源：
ACTA PHYSICA SINICA | 2008年 / 57卷 / 01期
关键词：
reproducing kernel particle method; reproducing kernel particle method with complex variables; elasticity; meshless method;
D O I：
10.7498/aps.57.1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The reproducing kernel particle method with complex variables is developed in this paper. The advantages of the developed method is that the correction function of a 2-D problem is formed with 1-D basis function. Then, we apply the method to two-dimensional elasticity, and the application to two-dimensional elasticity is presented, and the corresponding formulae are obtained. Compared with the conventional reproducing kernel particle method, the reproducing kernel particle with complex variables developed in this paper has greater precision and computational efficiency. Some examples given in this paper demonstrated the efficiency of the present method.
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页码：1 / 10
页数：10
相关论文
共 32 条
[1]  
Aluru NR, 2000, INT J NUMER METH ENG, V47, P1083, DOI 10.1002/(SICI)1097-0207(20000228)47:6<1083::AID-NME816>3.0.CO
[2]  
2-N
[3]   A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics [J].
Atluri, SN ;
Zhu, T .
COMPUTATIONAL MECHANICS, 1998, 22 (02) :117-127
[4]  
Babuska I, 1997, INT J NUMER METH ENG, V40, P727, DOI 10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO
[5]  
2-N
[6]   ELEMENT-FREE GALERKIN METHODS [J].
BELYTSCHKO, T ;
LU, YY ;
GU, L .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (02) :229-256
[7]   Meshless methods: An overview and recent developments [J].
Belytschko, T ;
Krongauz, Y ;
Organ, D ;
Fleming, M ;
Krysl, P .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 139 (1-4) :3-47
[8]  
Cai Yongchang, 2003, Acta Mechanica Sinica, V35, P187
[9]   A meshless method with complex variables for elasticity [J].
Cheng, YM ;
Li, JH .
ACTA PHYSICA SINICA, 2005, 54 (10) :4463-4471
[10]  
Cheng Yumin, 2003, Acta Mechanica Sinica, V35, P181
1234