中南大学学报（自然科学版）2013，Vol.44Issue(4)：1525-1531,7.
基于带面内转角自由度四节点平板壳单元的板壳非线性分析
4-node flat shell element with drilling degrees of freedom for nonlinear analysis of plates and shells
摘要
Abstract
Nowadays, various kinds of rectangular plate/shell elements have found wide applications for numerical analysis of engineering structures, such as long-span bridges. Some typical discrete strips in both longitudinal and transverse directions with presumed displacement modes were employed to describe more reasonably the displacement field of the element. Such a displacement field consists of two parts, namely the membrane action in the middle plane of the element and lateral deflection perpendicular to the middle plane. The in-plane displacement components were given through consecutive interpolations along perpendicular strips of nodal parameters, which in particular include the drilling degrees of freedom, while the out-of-plane deflection is simply expressed as third-order Hermitian interpolations of nodal parameters sequentially in perpendicular strip directions. The present model is capable of ensuring the continuity of displacement and strain components both in the element domain and at the interface of interconnected elements, thereby the underlying physical meaning is clear and the improvement of analysis accuracy can be satisfied. By selecting two benchmark problems, namely the elasto-plastic analysis of a thin plate and large deformation/large rotation problem of a thin cylindrical shell, good agreements can be achieved between analytical solution and/or numerical results obtained by other researchers and present predictions. Meanwhile, these examples demonstrate efficiency and robustness of the 4-node flat shell element for determining the maximum load carrying capacity of complicated plate structures.关键词
面内转角自由度/4节点板壳单元/离散条带/材料非线性/几何非线性Key words
drilling degrees of freedom/ 4-node flat shell element/ discrete strips/ material nonlinearity/ geometric nonlinearity分类
建筑与水利引用本文复制引用
文颖,戴公连,曾庆元..基于带面内转角自由度四节点平板壳单元的板壳非线性分析[J].中南大学学报（自然科学版）,2013,44(4):1525-1531,7.基金项目
国家自然科学基金资助项目(51108460) （51108460）
中国博士后科学基金导师资助项目(2012M511759) （2012M511759）
中南大学博士后科研基金资助项目 （）
