| 三维弹性接触问题边界元法的一种误差直接估计 |
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| 引用本文： | 姚振汉,刘永健.三维弹性接触问题边界元法的一种误差直接估计[J].燕山大学学报,2004,28(2):95-98. |
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| 作者姓名： | 姚振汉 刘永健 |
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| 作者单位： | 清华大学工程力学系,北京,100084 |
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| 基金项目： | 国家自然科学基金资助项目(No.10172053)。 |
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| 摘 要： | 将作者研究组关于二维边界元法误差直接估计的早期工作推广到三维弹性接触问题，提出了当域内点趋于边界时计算内点位移的极限的算法，并把接触面两边物体相应点的位移极限值之差的某种度量作为三维弹性接触问题边界元法误差的一种直接估计。给出的三维弹性接触问题的算例证明了这种直接估计和相应的自适应计算方案的有效性。
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| 关 键 词： | 边界元法 误差估计 自适应方案 三维弹性接触问题 |
| 修稿时间： | 2003年5月10日 |
A Direct Error Estimation of BEM for 3D Elastic Contact Problem |
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| Yao Zhenhan,Liu Yongjian,.A Direct Error Estimation of BEM for 3D Elastic Contact Problem[J].Journal of Yanshan University,2004,28(2):95-98. |
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| Authors: | Yao Zhenhan Liu Yongjian |
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| Abstract: | An early work on direct error estimation of 2D BEM for elasticity problem is extended to 3D elastic contact problem in this paper. An algorithm for computing the limit of inner displacement as the point approaches boundary from the internal point of the domain is presented. Based on the difference between the corresponding limit of displacement from both side of contacted bodies, a direct error estimator of BEM solution for 3D elastic contact problem is presented. Numerical examples are given to show the effectiveness of such direct error estimation and the corresponding adaptive scheme. |
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| Keywords: | boundary element method error estimation adaptive scheme 3D elastic contact problem |
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