Exact integration in the boundary element method for two-dimensional elastostatic problems

被引：32
|
作者：
Zhang, XS
Zhang, XX
机构：
[1] Univ Abertay Dundee, Sch Comp & Adv Technol, SIMBIOS Ctr, Dundee DD1 1GH, Scotland
[2] Shijiazhuang Railway Inst, Dept Mech & Engn Sci, Shijiazhuang 050043, Hebei, Peoples R China
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2003年 / 27卷 / 10期
关键词：
exact integrations; discontinuous boundary element; fundamental functions; two-dimensional elastostatics;
D O I：
10.1016/S0955-7997(03)00091-2
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper derives the exact integrations for the integrals in the boundary element analysis of two-dimensional elastostatics. For facilitation, the derivation is based on the simple forms of the fundamental functions by taking constant, discontinuous linear and discontinuous quadratic elements as examples. The efficiency and accuracy of the derived exact integrations are verified against five benchmark problems; the results indicate that the derived exact integrations significantly reduces the CPU time for forming the matrices of the boundary element analysis and solving the internal displacements. (C) 2003 Elsevier Ltd. All rights reserved.
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页码：987 / 997
页数：11
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