复合材料层合板应力分析逐层辛元法

中国民航大学学报 ›› 2020, Vol. 38 ›› Issue (5): 60-64.

• 工程技术 • 上一篇

复合材料层合板应力分析逐层辛元法

刘艳红，张正

中国民航大学航空工程学院，天津300300

出版日期:2020-10-25 发布日期:2020-10-23
作者简介:刘艳红（1970—），女，河南驻马店人，教授，博士，研究方向为复合材料结构力学.

Layerwise symplectic finite element method for stress analysis of composite laminate

LIU Yanhong, ZHANG Zheng

College of Aeronautical Engineering, CAUC, Tianjin 300300, China

Online:2020-10-25 Published:2020-10-23

摘要/Abstract

摘要： 复合材料层合板壳结构力学行为复杂，应力求解困难。基于逐层理论，联合最小势能原理和H-R 变分原理，建立了包含位移和3 个面外应力两类变量的逐层辛元。数值验证表明，逐层辛元推导过程简便、数值结果收敛稳定。与非协调位移元模型相比，在网格稀疏情况下逐层辛元模型的面外应力结果更接近精确解。

关键词: 复合材料层合板, H-R 变分原理, 逐层辛元, 应力分析

Abstract: The mechanical behavior of composite laminated plates and shells is complex, leading to difficulty in getting solution of stress. Based on the layerwise theory, the layerwise symplectic element including displacement and three out-of-plane stresses are established by combining with the principle of minimum potential energy and HR variational principle. Numerical verification shows that the derivation process of the layerwise symplectic element is simple and the numerical results converge stably. Compared with the incompatible displacement element model, the out-of-plane stress results of the current model are closer to the exact solution in the case of coarser meshes.

Key words: composite laminates, H-R variational principle, layerwise symplectic element, stress analysis

中图分类号:

V257
O343.4

刘艳红, 张正. 复合材料层合板应力分析逐层辛元法[J]. 中国民航大学学报, 2020, 38(5): 60-64.

LIU Yanhong, ZHANG Zheng. Layerwise symplectic finite element method for stress analysis of composite laminate[J]. Journal of Civil Aviation University of China, 2020, 38(5): 60-64.

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复合材料层合板应力分析逐层辛元法

Layerwise symplectic finite element method for stress analysis of composite laminate

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