| 二维弹性问题线性单元边界元法奇异积分问题的处理 |
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| 引用本文： | 曾昭景,蔡瑞瑛. 二维弹性问题线性单元边界元法奇异积分问题的处理[J]. 陶瓷科学与艺术, 1988, 0(1) |
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| 作者姓名： | 曾昭景 蔡瑞瑛 |
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| 摘 要： | 采用线性单元的二维弹性问题边界元法具有计算精度高的优点。但当点力所在结点与单元的端结点重合时,出现了奇异积分问题。本工作提出了解决奇异积分问题的一个方法,编制了二维弹性问题线性单元边界元法程序,并给出了两个算例。算例中讨论了角结点附近面力的处理问题。结果表明,本工作编制的边界元法程序是可靠的。
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| 关 键 词： | 弹性力学 边界元法 线性单元 奇异性 角点 |
TREATMENT OF SINGULAR INTEGRAL CAUSED BY EMPLOYING BOUNDARY ELEMENT METHOD WITH LINEAR ELEMENTS FOR TWO-DIMENSIONAL ELASTOSTATICS |
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| Zeng Zhaojing Cai Ruiying. TREATMENT OF SINGULAR INTEGRAL CAUSED BY EMPLOYING BOUNDARY ELEMENT METHOD WITH LINEAR ELEMENTS FOR TWO-DIMENSIONAL ELASTOSTATICS[J]. Ceramics Science & Art, 1988, 0(1) |
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| Authors: | Zeng Zhaojing Cai Ruiying |
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| Affiliation: | Zeng Zhaojing Cai Ruiying |
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| Abstract: | The Boundary Element Method (BEM) with linear elements has an advantage in high precision of calculation. However, there exists the problem of singularity when the diagonal terms of the boundary influence coefficients are calculated. A method by which the singular terms are cancelled is presented in this paper. Computer programs for solving the two-dimensional boundary value problem in elasticity using linear elements are developed and verified in two examples. The method dealing with the traction at corner is discussed. The results show that our method in solving singular integral and our programs are credible. |
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| Keywords: | Boundary Element Method Elastostatics linear element singularity corner. |
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