几何非线性复合材料层合固体壳单元

郑世杰; 佘锦炎

几何非线性复合材料层合固体壳单元

郑世杰^1,,
佘锦炎²

1.
南京航空航天大学智能材料与结构航空科技重点实验室南京 210016;
2.
香港大学机械工程系

基金项目: 国家自然科学基金重点项目(50135030);面上项目(10072026);江苏自然科学基金(BK2002090)资助

详细信息

作者简介:
郑世杰(1968-),男,博士,副教授,主要从事有限元理论和应用、智能材料与结构等方面的研究。

通讯作者:
郑世杰, E-mail: xwwang@nuaa.edu.cn

中图分类号: TB330.1; O316
计量
- 文章访问数: 1867
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出版历程
- 收稿日期: 2001-10-24
- 修回日期: 2001-12-23
- 刊出日期: 2003-06-14

COMPOSITE LAMINATED SOLID SHELL ELEMENT FOR GEOMETRICALLY NONLINEAR ANALYSIS

ZHENG Shijie^1,,
SZE K Y²

1.
Aeronautical Science Key Lab of Smart Material &|Structure, Nanjing University of Aeronautics &|Astronautics, Nanjing 210016,China;
2.
Department of Mechanical Engineering, University of Hong Kong

摘要

摘要: 通过定义广义应力,提出了一个改进的刚度矩阵,以克服固体壳元的厚度自锁问题,并能保证沿复合材料层合结构厚度方向上的连续应力分布;将应力插值函数分为低阶和高阶两部分,建议了一个新的非线性变分泛函,推导了一个用于几何非线性分析的九节点固体壳单元,该单元的计算精度和效率基本上与九节点减缩积分单元相当,与同类型其他单元相比,该单元显著提高了计算效率。
- 固体壳 /
- 厚度自锁 /
- 几何非线性 /
- 复合材料 /
- 稳定
Abstract: Starting from defining generalized stress, this paper presents a modified stiffness matrix method to overcome the thickness locking of solid shell elements and guarantee the continuous distribution of the transverse normal stress of composite laminate shell structures. By splitting the stress into lower order and higher order terms, a new nonlinear variational principle is developed and a 9-node solid shell element with 6 DOF per node is derived for geometrically nonlinear analysis of composite laminated shells. The higher order assumed stress modes are judiciously selected to vanish at the sampling points of the second order quadrature and their energy products with the displacement- derived covariant strain can be programmed without resorting to numerical integration. Accuracy of the present element is virtually identical to that of the uniformly reduced integration element(URI) yet with a little additional computational costs for the stabilization matrix. The stabilization matrix is of prime importance as the global tangential stiffness matrices resulting from the URI elements often become singular after a few iterations.
- solid shell /
- thickness locking /
- geometrically nonlinear /
- composite /
- stabilization