无界平面弹性问题自然边界元与有限元的迭代耦合
首发时间:2010-04-01
摘要:本文根据区域分解算法的思想和圆外平面弹性问题的自然边界归化理论和有限元基本理论,实现了无界平面弹性问题自然边界元与有限元的耦合法的D-N迭代求解。具体算例的计算结果表明当R取为孔洞尺寸的1.2倍,网格划分为144个节点而有限元网格划分为272个节点时,耦合法便可以较好的逼近收敛值。而且在迭代过程中,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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The coupling method with iterative implementation between natural boundary element and finite element for the problem of plane elasticity over unbounded domain
Abstract:In this paper, based the algorithms of domain decomposition, the theory of natural boundary reduction and finite element mothed, the plane elastic problem outside a circle was solved with the coupling of natural boundary element and finite element by D-N iterative method. The calculation results of concrete example show that the coupling method can obtain a better result when R takes 1.2 times of hole size and the mesh division contains 272 elements with 144 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.
Keywords: natural boundary element finite element coupling method D-N iteration relaxation factor
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No.4142651927312700****
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无界平面弹性问题自然边界元与有限元的迭代耦合
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