摘要
本文从修正的扁壳胡海昌-鹫律原理泛函出发,引入两方面的广义协调条件(单元边界位移的积分型协调条件,膜应变与位移之间的积分型协调条件),使泛函退化为扁壳势能原理泛函,在此基础上导出一个具有二十个自由度的扁壳曲面矩形元。此单元对厚扁壳和薄扁壳都通用,不出现剪切闭锁和薄膜闭锁现象,具有良好的性能。
Based on the modified Hu-Washizu principle for shallow shells, two kinds of generalized compatibility conditions (compatibility condition between adjacent elements and that between membrane strains and displacements) are introduced to reduce the modified
functional to the simple functional of the principle of potential energy. A curved rectangular
element of shallow shell with twenty degrees of freedom is constructed. This element
can be used in the analysis of both thin and thick shallow shells. Shear locking and membrane locking are avoided.
出处
《工程力学》
EI
CSCD
1992年第1期1-10,共10页
Engineering Mechanics
关键词
扁壳
有限元
广义协调元
shallow shell,finite element,generalized conforming element