| Exact Integration of Constant Element of Elastomer in Boundary Element Method |
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| 作者姓名： | Yuan Zheng-qiang YUAN Fei ZHU Jia-lin |
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| 摘 要： | 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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| 关 键 词： | boundary element method constant element exact integral |
| 收稿时间： | 2005/4/15 0:00:00 |
| 修稿时间： | 2005/4/15 0:00:00 |
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].Storage & Process,2005(8):74-78. |
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| Authors: | Yuan Zheng-qiang YUAN Fei ZHU Jia-lin |
| |
| 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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