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| A8-Node rational element for 3D anisotropic elastic problem |
| Received:October 16, 2012 Revised:August 20, 2013 |
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| DOI：10.7511/jslx201401006 |
| KeyWord:anisotropic rational finite element eight-node brick element |
| Author | Institution |
| 毛翎 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 姚伟岸 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 高强 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 钟万勰 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
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| Abstract: |
| For conventional finite element,only the geometry and node locations are considered in the interpolation functions,while the physical parameters which reflect the key features of the physical problems is ignored,so its numerical performance may not satisfied.In contrast,for rational finite element method,the fundamental solutions of the differential equations are taken as the interpolation function and so the resulting stiffness matrix is related closely to the physical parameters of the problem.Therefore,for rational finite element,the separation between the mathematical and physical problems in the conventional finite element method can be avoided,and so the stability and accuracy of numerical analysis can improve significantly.In this paper,an eight-node brick rational element,which satisfies the requirements of the patch test,is constructed using the fundamental solution of the 3D anisotropic problems.Numerical examples show that the rational element gives numerical results with not only high accuracy,but also good numerical stability,especially it is insensitive for the ill-shaped meshes. |
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