摘要
针对一点积分的八节点相对自由度壳单元存在的沙漏现象，提出采用拟应变法解决该问题的方法，并对锁死问题进行研究。给出了带有沙漏控制的八节点相对自由度壳元内的坐标、位移插值公式，推导了拟应变的表达式，通过Hu-Washizu变分原理，建立了有限元求解方程。利用Wilson非协调位移模式，单元的计算精度得到了明显改善。算例表明：基于八节点相对自由度壳单元，本文给出的沙漏控制算法能够有效的解决线性静力问题，并且具有较高的计算精度。
An efficient and accurate one-point quadrature 8-node shell element with relative degrees of freedom is developed for linear static structural analyses. Hourglass control is provided to suppress spurious modes via the assumed strain method. An effective procedure to eliminate volumetric locking and shear locking is proposed. Displacement and strain fields of the element are constructed. With the aid of Hu-Washizu variational principle and assumed strain method, the finite element formulation of shell element of relative degree of freedom is derived. Resorting to Wilson’s incompatible displacement mode, the accuracy of the element is enhanced. Several numerical examples are presented to demonstrate the applicability of the proposed element for linear static structural analyses.
出处
《工程力学》
EI
CSCD
北大核心
2002年第3期122-127,共6页
Engineering Mechanics
基金
国家自然科学基金项目(59875045)
汽车安全与节能国家重点实验室开放基金(K9705)
关键词
相对自由度壳单元
拟应变
沙漏
锁死
线性静力
shell element of relative degree of freedom
assumed strain
hourglass
locking
