| 无界问题自然边界元与有限元的迭代耦合 |
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| 引用本文： | 杨敏,赵慧明,臧彤,倪海敏,陈家瑞.无界问题自然边界元与有限元的迭代耦合[J].淮南工业学院学报,2010(2):71-74. |
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| 作者姓名： | 杨敏 赵慧明 臧彤 倪海敏 陈家瑞 |
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| 作者单位： | 中国矿业大学力学与建筑工程学院力学系,江苏徐州221008 |
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| 摘 要： | 根据区域分解算法的思想,研究了自然边界元与有限元耦合法的D-N迭代原理,并编写了耦合法计算程序,求解了带方孔的无界平面弹性问题。算例计算结果表明：当计算半径R取为孔洞尺寸的1.2倍,耦合法网格划分时取144个节点即可较好的逼近收敛值,而相同收敛效果有限元网格划分时需取272个节点。并且,在迭代过程中,松弛因子的选取对迭代收敛速度的影响很大,当松弛因子取0.2时,迭代收敛速度最快。
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| 关 键 词： | 自然边界元 有限元 耦合法 D-N迭代 松弛因子 |
The Coupling Method with Iterative Implementation between Natural Boundary Element and Finite Element for the Problem of Unbounded Domain |
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| YANG Min,ZHAO Hui-ming,ZANG Tong,NI Hai-min,CHEN Jia-rui.The Coupling Method with Iterative Implementation between Natural Boundary Element and Finite Element for the Problem of Unbounded Domain[J].Journal of Huainan Institute of Technology(Natural Science),2010(2):71-74. |
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| Authors: | YANG Min ZHAO Hui-ming ZANG Tong NI Hai-min CHEN Jia-rui |
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| Affiliation: | (School of Mechanics and Civil Engineering,China University of Mining and Technology,xuzhou Jiangsu 221008,China) |
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| Abstract: | Based on the algorithm of domain decomposition,D-N iterative principle of natural boundary element and finite element coupling method was studied.And then a program for the coupling method was coded to solve an infinite plane elastic problem with a square hole inside.The calculation results of a concrete example show that the coupling method with 144 nodes can convergence to exact solutions when the radius is 1.2 times of the hole size,while the finite element method needs 272 nodes.Further more,the selection of relaxation factor has a great impact on convergence speed in the iterative process.And the iterative convergence speed is the fastest when the relaxation factor is 0.2. |
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| Keywords: | natural boundary element finite element coupling method D-N iteration relaxation factor |
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