Numerical solution for elastic inclusion problems by domain integral equation with integration by means of radial basis functions

被引:19
作者
Dong, CY [1 ]
Lo, SH [1 ]
Cheung, YK [1 ]
机构
[1] Univ Hong Kong, Dept Civil Engn, Hong Kong, Hong Kong, Peoples R China
关键词
domain integral equation; radial basis functions; infinite domain; inclusion problems;
D O I
10.1016/j.enganabound.2003.06.001
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The unknown strains in the inclusions are expressed in terms of a series of radial basis functions (RBF) and polynomials in global coordinates. Based on the radial integration method proposed by Gao [J. Appl. Mech., Trans. ASME 69 (2002) 154, Engng Anal. Bound. Elem. 26 (2002) 905], the volume integrals for the evaluation of strains can be transformed into contour integrals on the inclusion boundaries. As a result of this transformation, there is no need to discretize the inclusions into finite elements. For the determination of the strains, collocation points are distributed at the interior of the inclusions to form a system of linear equations. Numerical results are compared with available analytical solutions and those based on a finite element discretization of the volume integrals. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码:623 / 632
页数:10
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