| 平面弹性力学问题边界元直接法中边界积分的解析处理 |
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| 引用本文： | 张耀明. 平面弹性力学问题边界元直接法中边界积分的解析处理[J]. 纯粹数学与应用数学, 2001, 17(1): 28-34 |
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| 作者姓名： | 张耀明 |
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| 作者单位： | 山东工程学院数理系, |
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| 摘 要： | 确立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。
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| 关 键 词： | 弹性问题 解析法 边界元 解析公式 直接变量 边界积分方程 平面弹性力学 |
| 文章编号： | 1008-5513(2001)01-0028-07 |
| 修稿时间： | 2000-04-22 |
Analytical treatment of boundary integrals in direct boundary element analysis for plane elasticity problem |
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| ZHANG Yao ming,MEN Zhao wei. Analytical treatment of boundary integrals in direct boundary element analysis for plane elasticity problem[J]. Pure and Applied Mathematics, 2001, 17(1): 28-34 |
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| Authors: | ZHANG Yao ming MEN Zhao wei |
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| Abstract: | An analytical scheme, which avoids to using the standard Gaussian approximate quadrature to treat the boundary integrals in direct boundary element method (DBEM) of twodimensional 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 been derived by the present scheme. |
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| Keywords: | Elasticity problems analytical method boundary element |
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