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| A stress recovery method based on the analytical eigenfunctions of symplectic elasticity |
| Received:November 22, 2011 Revised:February 26, 2012 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20124007 |
| KeyWord:FEM stress recovery symplectic elasticity analytical solution |
| Author | Institution |
| 徐小明 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 张盛 |
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 |
| 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: |
| The accuracy of stress is important in the engineering application analysis,such as structural strength,structural optimization,etc.The Finite Element Method (FEM) is one of the most widely applied numerical methods based on which many general program systems have been built.The displacement method based on the minimum total potential energy principle is commonly used for these FEM program systems.So the displacement field of high accuracy can be obtained.However,it would lead to a stress field of much lower accuracy comparing with the displacement field obtained.In this paper,a stress recovery method is presented to improve the result of stress analysis,which make use of the symplectic eigenfunctions of plane problems in the polar coordinate system and node displacements provided by FEM.Numerical results show that,the new technique improve evidently accuracy of stress analysis and the numerical stability is also very well.Hence,it could be applied for the postprocessing of the general program system of FEM to improve the accuracy of stress analysis,especially the accuracy of stress on the key area. |
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