一种采用应力分离法的杂交/混合板壳单元

A Hybrid/Mixed Shell Element with Stress Separation

本文利用一种采用应力分离法的杂交/混合板壳有限元模型分析板壳结构静力学问题。分析表明,该元素在总体水平上没有多余零能模式。而且,该元素通过了薄板的闭锁试验,对薄壳算例也没有观察到闭锁现象。与参考解相比,该元素对各种壳结构均能适用,且收敛性较好,精度也较高。

A new finite element-9 node degenerate shell hybrid/mixed element with stress separation is presented in this paper. It is based on a modified Hellinger- Reissner principle. This element not only possesses following merits: (i) High accurate stress and displacement evaluation; (ii) Free from zero energy or kinematic deformation modes; (iii) Largely weaken the locking effect; (iV) Invariant with reference coordinates, but also improves its efficiency to set against other hybrid/mixed finite elements. Transverse shearing effect is taken into account. Several numerical examples are solved, and the solutions are compared to the existing ones. The results show that the present element yields accurate solutions for shallow and deep shells.