Reissner板问题的有限元广义混合法

用一般弹性体的广义混合变分原理，导出了适合Ｒｅｉｓｓｎｅｒ板弯曲问题的广义混合变分原理及其有限元广义混合法。算例说明，该有限元模式的刚度可以改变，比常规位移法的精度高，同时还能克服常规Ｒｅｉｓｓｎｅｒ板位移元用于计算薄板时所出现的“剪切自锁”现象，计算结果稳定，最后分析该法能够克服“剪切自锁”现象的原因。

Generalized mixed finite elements method of reissner plates

Using the generalized mixed variational principle (GMVP) of elastic mechanics, GMVP of Reissner plates is derived, and generalized mixed finite elements method (GMFEM) of Reissner plates is established too. The numerical examples show that the stiffness of GMFEM could be changed, and show that GMFEM could be used in analyzing Reissner plates and thin plates at the same times and no locking occurs. The cause why GMFEM can conquer locking phenomenon is discussed.