Development of the boundary-element method for three-dimensional problems of static and nonstationary elasticity

被引：3
|
作者：
Podil'chuk, YN [1 ]
Rubtsov, YK [1 ]
机构：
[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, UA-252143 Kiev, Ukraine
来源：
INTERNATIONAL APPLIED MECHANICS | 2004年 / 40卷 / 02期
关键词：
boundary integral equations; BEM; FEM; singular surface integral; quadrature formula; interpolating polynomial;
D O I：
10.1023/B:INAM.0000028594.78739.fd
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The boundary-element method (BEM) applied to three-dimensional problems in the linear theory of elasticity is analyzed. The solutions of test problems for spherical and cubic cavities are used as examples to consider the basic aspects and difficulties of applying the traditional BEM to static and nonstationary three-dimensional problems. It is established that using Chebyshev polynomials in the Gaussian quadrature formula to evaluate the singular segments of surface integrals reduces the computation time by a factor of 2 to 3 without loss of accuracy compared with the traditional Gauss-Legendre formula. BEM-based approaches are proposed to solve three-dimensional problems in the linear theory of elasticity.
引用
收藏
页码：160 / 168
页数：9
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