| 三维弹塑性边界元1/r~3积分奇异性的处理 |
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| 引用本文： | 温卫东,高德平.三维弹塑性边界元1/r~3积分奇异性的处理[J].南京航空航天大学学报,1992(5). |
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| 作者姓名： | 温卫东 高德平 |
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| 作者单位： | 南京航空学院动力工程系
(温卫东)，南京航空学院动力工程系(高德平) |
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| 摘 要： | 本文将文2]的基本思想与方法,推广应用于处理三维弹塑性边界元法塑性单元中的1/r~3积分奇异性问题,推导了有关的具体公式,并从理论上证明了该方法处理1/r~3奇异性的有效性。针对奇异性单元。本文提出旋转与坐标转换的分割技术,可大大减少工作量。并使计算机编程更简洁。数值算例研究表明,文中采用的方法是十分有效的。
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| 关 键 词： | 边界元 数值分析 应力分析 弹塑性问题 奇异积分 |
Treatments of the Integrals with Singularity 1/r3 in 3-D Elastoplastic Boundary Element Methods |
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| Wen Weidong Gao Deping.Treatments of the Integrals with Singularity 1/r3 in 3-D Elastoplastic Boundary Element Methods[J].Journal of Nanjing University of Aeronautics & Astronautics,1992(5). |
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| Authors: | Wen Weidong Gao Deping |
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| Institution: | Department of Power Engineering |
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| Abstract: | The basic idea and approach in Ref. 2] is extended and applied to treat the problems on the integrals with singularity 1/r3in 3-D elastoplastic boundary element methods in this paper. The corresponding concrete formula are derived, and its effectiveness of the treat-ments on singularity 1/r3 is proved in the theory. For the elements with singular points, the dividing techniques of rotating and coordinate transformation are proposed in this pa-per as well. It enables the amounts of work on dividing the blocks to decrease greatly and makes the programming of computers much simpler. The numerical results show that the approach in this paper is very effective. |
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| Keywords: | boundary element numerical analysis stresses analysis elastoplastic pro blem singular integrals |
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