直接边界元法中边界积分的解析处理

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Analytical Treatment of Boundary Integrals in Direct Boundary Element Analysis of Plan Potential and Elasticity Problems

1.
Department of Mathematics and Physics, Shandong Institute of Engineering, Zibo, Shandong 255012, P R China;
2.
Department of Mechanics, Dalian University of Technology, Dalian 116023, P R China

摘要: 确立了平面位势和弹性力学问题的边界元直接法中边界积分的解析计算框架系统,从而避免了传统的高斯近似求积分。数值算例表明它具有较高的精度和效率。特别是在边界量和边界附近区域内点物理量的计算可获得较高的精度。
- 位势/弹性问题 /
- 解析法 /
- 边界元
Abstract: An analytical scheme,which avoids using the standard Gaussian approximate quadrature to treat the boundary integrals in direct boundary element method(DBEM)of two-dimensional potential and elastic problems,is established.With some numerical results,it is shown that the better precision and high computational efficiency,especially in the band of the domain near boundary,can be derived by the present scheme.
- potential/elasticity problems /
- analytical method /
- boundary element

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