蜂窝状薄壁管拉伸时的内陷分析

蜂窝材料因具备广阔的结构设计空间,已广泛应用于航空航天等工业领域。探索蜂窝元胞的组织结构、组分性质与材料整体性能之间的关系有助于新型功能性材料的设计开发。本文从非平面Vertex模型的势能形式出发,结合蜂窝薄壁圆管拉伸时的轴对称特征,通过变分法得到了圆管拉伸时母线满足的控制方程,揭示了边界效应是蜂窝状薄壁圆管受拉时产生内陷的原因,并结合母线控制方程的若干特解,考察了非平面Vertex模型势能形式中包含的材料性质参数与圆管拉伸后内陷程度及范围的关系。研究还指出,蜂窝材料的材料性质包含在非平面Vertex模型的势能形式中,为蜂窝状材料整体性能的研究提供了一种新的思路。

Analysis of Intrusion in Honeycomb Thin-wall Tube During Stretching

Honeycomb materials have been widely used in aerospace and other industrial fields due to their broad structural design space. Exploring the relationship between the structure and composition of honeycomb materials and its overall properties can be benefit for designing and developing new functional materials. Starting from the potential energy form of the non-planar Vertex model, the governing equation for the cable on the tube surface was obtained by the variational method, considered with the axisymmetric characteristics of the thin-wall tube. The results revealed that the boundary effect is the cause of the intrusion when the honeycomb thin-wall tube is pulled. Through several special solutions of the governing equation, the relationship between the material properties defined by the non-planar Vertex model and the extent of the intrusion of the tube was investigated. This research also implied a new way to find out the overall properties of the honeycomb materials, which is implicit in the potential energy of the non-planar Vertex model.