| 三维弹性体边界元常单元的精确积分计算 |
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| 引用本文： | 袁政强,袁飞,祝家麟. 三维弹性体边界元常单元的精确积分计算[J]. 重庆大学学报(自然科学版), 2005, 28(8): 74-78 |
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| 作者姓名： | 袁政强 袁飞 祝家麟 |
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| 作者单位： | 重庆大学土木工程学院,重庆,400030;重庆大学数理学院,重庆,400030 |
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| 基金项目： | 科技部国际科技合作项目 |
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| 摘 要： | 边界元方法中的边界积分计算影响计算精度和计算速度.当采用常单元计算时,非奇异积分一般采用数值积分,奇异积分采用精确积分法.文章采用积分区域变换和高斯公式,将三维弹性问题的二维积分化为一维积分,使常单元奇异积分和非奇异积分都能采用精确积分的方法计算.实例计算结果表明,此算法能使边界积分的求解精度和计算速度都得到提高.
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| 关 键 词： | 边界元 常单元 精确积分 |
| 文章编号： | 1000-582X（2005）08-0074-05 |
| 收稿时间： | 2005-04-15 |
| 修稿时间： | 2005-04-15 |
Exact Integration of Constant Element of Elastomer in Boundary Element Method |
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| Yuan Zheng-qiang,YUAN Fei,ZHU Jia-lin. Exact Integration of Constant Element of Elastomer in Boundary Element Method[J]. Journal of Chongqing University(Natural Science Edition), 2005, 28(8): 74-78 |
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| Authors: | Yuan Zheng-qiang YUAN Fei ZHU Jia-lin |
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| Abstract: | The boundary integral in Boundary Element Method affects the precision and the speed of the method. If the boundary integral with constant element, the nonsingular integrals are popularly calculated by the Gauss numerical integral, and the singular integrals are popularly calculated by the analytical integral. This paper presents an alternative way with Gauss formula to transform the double integral in elastic problem on 3-d into the linear integrals on the boundary of each subdomains, so that all the singular integrals and nonsingular integrals are calculated by analytical method. The example indicates that this method makes the precision and the speed of BEM improve. |
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| Keywords: | boundary element method constant element exact integral |
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