| 厚板弹塑性混合状态Hamiltonian元的半解析法 |
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| 引用本文： | 邹贵平,唐立民.厚板弹塑性混合状态Hamiltonian元的半解析法[J].上海力学,1995,16(4):268-274. |
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| 作者姓名： | 邹贵平 唐立民 |
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| 作者单位： | 上海大学
(邹贵平)，大连理工大学(唐立民) |
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| 摘 要： | 采用初应力法并通过对增量形式Ｈｅｌｌｉｎｇｅｒ－Ｒｅｉｓｓｎｅｒ变分原理的修正，给出了厚板弹塑性分析的Ｈａｍｉｌｔｏｎ正则方程及其相应的半解析法。此法在厚板平面内采用通常的有限元离散，而沿板厚方向采用状态空间法给出半解析解答。
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| 关 键 词： | 厚板 弹塑性 初应力法 变分法 正则方程 |
A SEMI-ANALYTICAL SOLUTION FOR ELASTOPLASTIC THICK PLATES BY USING THE MIXED STATE HAMILTONIAN ELEMENT |
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| Zou Guiping Tang Limin.A SEMI-ANALYTICAL SOLUTION FOR ELASTOPLASTIC THICK PLATES BY USING THE MIXED STATE HAMILTONIAN ELEMENT[J].Chinese Quarterly Mechanics,1995,16(4):268-274. |
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| Authors: | Zou Guiping Tang Limin |
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| Institution: | Zou Guiping Tang Limin
(Shanghai Institute of Applied Mathematics and Mechanics) (Dalian University of Technology) |
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| Abstract: | In this paper, the Hamilton canonical equation and a semianalytical solution for elasto-plastic thick plates with initial stresses have been derived and obtained by modifying the incremental Hellinger-Reissner variational principle. Tn the process, by the separation of variable, the conventional technique of the finite element discretization is employed in laminar and in the direction along the thickness the exact solution is derived by the state space control method. Numerical examples are given and results are compared with other available solutions. |
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| Keywords: | Elastoplastic thick plates Initial stress method Hamilton canonical equation State space control method |
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