基于20节点辛元的复合材料层合板应力分析

童瑶; 姚玉喆

doi:10.21656/1000-0887.400283

基于20节点辛元的复合材料层合板应力分析

doi: 10.21656/1000-0887.400283

童瑶¹,
姚玉喆²

¹上海飞机设计研究院, 上海 201206;²中国民航大学航空工程学院, 天津 300300

基金项目: 国家自然科学基金（11502286）

详细信息

作者简介:
童瑶（1980—），女，高级工程师, 硕士(E-mail: tongyao@comac.cc);姚玉喆（1993—）, 男，硕士生（通讯作者. E-mail: 727394427@qq.com）.

中图分类号: O342|O343
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- 文章访问数: 789
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- 被引次数: 0
出版历程
- 收稿日期: 2019-09-20
- 修回日期: 2019-11-22
- 刊出日期: 2020-05-01

20-Node Hexahedron Symplectic Elements for Stress Analysis of Composite Laminates

TONG Yao¹,
YAO Yuzhe²

¹Shanghai Aircraft Design & Research Institute,Shanghai 201206, P.R.China;²College of Aeronautical Engineering, Civil Aviation University of China, Tianjin 300300, P.R.China

Funds: The National Natural Science Foundation of China（11502286）

摘要

摘要: 通常情况下，常规位移有限元法获得的应力结果比位移精度低一阶次，且面外应力难以满足连续性要求.联合最小势能原理和HR变分原理，构造出包含位移和3个面外应力两类变量的20节点六面体辛元.由于两类变量采用高阶插值函数近似，无需引入单元内部的非协调位移项，因此相关理论的推导过程非常简单.与Hamilton部分混合元不同，该辛元涉及的变量沿3个坐标方向均做离散处理，不受单元厚度和结构几何形状的限制.数值实例表明20节点辛元的数值结果收敛稳定.在粗糙网格的情况下，与20节点位移元相比，该文单元的面外应力更接近精确解.
- 复合材料 /
- 面外应力 /
- H-R变分原理 /
- 20节点辛元 /
- 位移法 /
- 混合法
Abstract: Usually, the accuracy of the stresses obtained with the conventional displacement finite element method is one-order lower than that of the displacements, and the out-of-plane stresses can hardly meet the continuity requirements. Then, combined with the minimum potential energy principle and the H-R variational principle, a 20-node hexahedral symplectic element involving displacement and out-of-plane stress variables was established. Incompatible displacement terms are needless in the element since the 2 kinds of variables are approximated with higher-order interpolation functions. Hence, the derivation process of the theory is very simple. Unlike in the partially mixed Hamiltonian element, the variables involved in the symplectic element are discretized in 3 coordinate directions without restriction of the element thickness and the structure geometry. Numerical examples show that, the 20-node symplectic elements exhibit stable convergence. Under the coarse mesh, the out-of-plane stresses obtained with the proposed element are closer to the exact solution than those by the incompatible 8-node symplectic element.
- composite material /
- out-of-plane stress /
- H-R variational principle /
- 20-node symplectic element /
- displacement method /
- mixed method

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参考文献(17)

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基于20节点辛元的复合材料层合板应力分析

doi: 10.21656/1000-0887.400283

作者简介:
童瑶（1980—），女，高级工程师, 硕士(E-mail: tongyao@comac.cc);姚玉喆（1993—）, 男，硕士生（通讯作者. E-mail: 727394427@qq.com）.

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20-Node Hexahedron Symplectic Elements for Stress Analysis of Composite Laminates

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留言板

基于20节点辛元的复合材料层合板应力分析

doi: 10.21656/1000-0887.400283

作者简介: 童瑶（1980—），女，高级工程师, 硕士(E-mail: tongyao@comac.cc);姚玉喆（1993—）, 男，硕士生（通讯作者. E-mail: 727394427@qq.com）.

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出版历程

20-Node Hexahedron Symplectic Elements for Stress Analysis of Composite Laminates

计量

出版历程

目录

作者简介:
童瑶（1980—），女，高级工程师, 硕士(E-mail: tongyao@comac.cc);姚玉喆（1993—）, 男，硕士生（通讯作者. E-mail: 727394427@qq.com）.