论弹性力学广义变分原理的临界变分现象

On variational crisis and generalized variational principle of elasticity

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，本文提出一些新的观点 来解释这种现象。

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.