| 二维弹性力学问题边界元法的精确积分表达式 |
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| 引用本文： | 刘小涛,朱爱君,王洪军.二维弹性力学问题边界元法的精确积分表达式[J].石家庄铁路职业技术学院学报,2007,6(4):1-6. |
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| 作者姓名： | 刘小涛 朱爱君 王洪军 |
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| 作者单位： | 1. 石家庄铁道学院,河北石家庄,050043
2. 石家庄铁路职业技术学院,河北石家庄,050043 |
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| 摘 要： | 以二维弹性力学问题为研究对象，采用常单元和线性非连续元离散边界积分方程，给出系数矩阵计算的精确表达式。数值实施证实此方法的准确性。和有限元相比，边界元的目的非常明确。它还使数值计算的维数降低一阶，所以计算效率也更高。
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| 关 键 词： | 非连续边界元 精确积分表达式 非奇异积分 奇异积分 |
| 文章编号： | 1673-1816（2007）04-0001-06 |
| 收稿时间： | 2007-08-25 |
| 修稿时间： | 2007年8月25日 |
Exact Integration Expressions in the Boundary Element Method for Two-dimensional Elasticity |
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| Liu Xiaotao,Zhu Aijun,Wang Hongjun.Exact Integration Expressions in the Boundary Element Method for Two-dimensional Elasticity[J].Journal of Shijiazhuang Institute of Railway Technology,2007,6(4):1-6. |
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| Authors: | Liu Xiaotao Zhu Aijun Wang Hongjun |
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| Abstract: | Two-dimensional elasticity is regarded as the research object in the paper. The exact integration expressions of the coefficient matrix for the boundary element analysis are derived by using constant element and linear discontinuous boundary integral equation. The numerical implementation shows that this method is accurate. Compared with finite element method, the purpose of the boundary element method is explicit. It is so efficient for the numerical computing because its degree of freedom is reduced by once. |
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| Keywords: | discontinuous boundary element exact integration expressions non-singular integrals singular integrals |
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