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| 论弹性力学广义变分原理的临界变分现象 | |
| 引用本文： | 何吉欢.论弹性力学广义变分原理的临界变分现象[J].上海理工大学学报,1999,21(2):127-130. |
| 作者姓名： | 何吉欢 |
| 作者单位： | 上海大学!上海市应用数学和力学研究所 |
| 基金项目： | 上海市高等学校青年科学基金!98QN47 |
| 摘 要： | 应用拉氏乘子法消除Ｈｅｌｌｉｎｇｅｒ－Ｒｅｉｓｓｎｅｒ变分原理的约束关系时，在识别拉氏乘子的过程中，会出现拉氏乘子为零的现象，这种现象称为临界变分现象，本文提出了一些新的观点来解释这种现象。 |
| 关 键 词： | 变分原理 临界变分 拉氏乘子法 弹性力学 |
On variational crisis and generalized variational principle of elasticity |
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| He Jihuan.On variational crisis and generalized variational principle of elasticity[J].Journal of University of Shanghai For Science and Technology,1999,21(2):127-130. | |
| Authors: | He Jihuan |
| Abstract: | In using the Lagrange multiplier method to eliminate constraints of Hellinger-Reissner principle, the multipliers may vanish during the process of variation. The phenomenon is called variational crisis. Several ways have been proposed to explain such phenomenon. |
| Keywords: | Hellinger-Reissner principle variational principle variational crisis semi-inverse meth-od trial-functional Lagrange multiplier method |
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