一种简单有效通用的厚、薄板壳元

A Simple and Efficient Finite Element

提出了一种简单有效的四边形平板壳元，它由基于Ｍｉｎｄｌｉｎ板理论的平板弯曲元与带有平面内转动的平面膜单元组成．单元中每个结点有六个自由度，易于模拟复杂的壳面连接和易于与别的带有转动自由度的单元相容．此种板壳元能顺利通过弯曲、膜小片检验，无剪切和膜“锁住”及多余零能模式，计算方法简便，适用范围广，且计算精度十分理想。

A simple and efficient 4 mode quadrilateral shell element presented herein is obtained by combining the Mindlin plate bending element and the membrance element with drilling degrees of freedom. The shell element has six degrees of freedom per node, which allows easy modeling of complex shell surface sections and compatibility with other elements with rotation degrees of freedom. The element passes the patch test, and has no spurious zero energy modes and locking. Very good results have been obtained for thin and thick plates and shells. The element mentioned above has broad prospects of application.