计算力学学报2012，Vol.29Issue(4)：511-516,6.
基于辛弹性力学解析本征函数的有限元应力磨平方法
A stress recovery method based on the analytical eigenfunctions of symplectic elasticity
摘要
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 ap- plied numerical methods based on which many general program systems have been built. The displace- ment 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.关键词
有限元/应力磨平/辛弹性力学/解析解Key words
FEM/stress recovery/symplectic elasticity/analytical solution分类
数理科学引用本文复制引用
徐小明,张盛,姚伟岸,钟万勰..基于辛弹性力学解析本征函数的有限元应力磨平方法[J].计算力学学报,2012,29(4):511-516,6.基金项目
国家自然科学基金 （）
973国家重点基础研究计划（2010CB832704）资助项目. （）
