Boundary point method for linear elasticity using constant and quadratic moving elements

被引：9

作者：

Ma, Hang ^{[1
]}

Zhou, Juan ^{[1
]}

Qin, Qing-Hua ^{[2
]}

机构：

[1] Shanghai Univ, Dept Mech, Coll Sci, Shanghai 200444, Peoples R China

[2] Australian Natl Univ, Dept Engn, Canberra, ACT 0200, Australia

来源：

ADVANCES IN ENGINEERING SOFTWARE | 2010年 / 41卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Boundary integral equation; Boundary-type meshless method; Fundamental solution; One-point computing; Quadratic moving element; Boundary point method; Linear elasticity; PRINCIPAL VALUE INTEGRALS; FUNDAMENTAL-SOLUTIONS; POTENTIAL PROBLEMS; NODE METHOD; INTERPOLATION METHOD; NUMERICAL EVALUATION; GENERAL ALGORITHM; STOKES PROBLEMS; MESHLESS METHOD; TREFFTZ METHOD;

D O I：

10.1016/j.advengsoft.2009.10.006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Based on the boundary integral equations and stimulated by the work of Young et al. [J Comput Phys 2005:209:290-321], the boundary point method (BPM) is a newly developed boundary-type meshless method enjoying the favorable features of both the method of fundamental solution (MFS) and the boundary element method (BEM). The present paper extends the BPM to the numerical analysis of linear elasticity. In addition to the constant moving elements, the quadratic moving elements are introduced to improve the accuracy of the stresses near the boundaries in the post processing and to enhance the analysis for thin-wall structures. Numerical tests of the BPM are carried out by benchmark examples in the two- and three-dimensional elasticity. Good agreement is observed between the numerical and the exact solutions. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：480 / 488

页数：9

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