Elastic buckling of a free-standing annulus subjected to partial shrinkage
Elastic buckling of a free-standing annulus subjected to partial shrinkage
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DOI：
10.1016/j.ijmecsci.2020.105610
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发表时间：
2020-07
影响因子：
7.3
通讯作者：
T. Morimoto;F. Ashida;T. Tomita
中科院分区：
文献类型：
--
作者：
T. Morimoto;F. Ashida;T. Tomita
本文报告了对部分收缩的自立式环形板的详细屈曲分析，作为变形结构的策略之一，该策略最近受到了相当多的关注。线性屈曲问题可以分解为面内变形和面外变形。首先分析面内 (Lamé) 问题以确定应力分布，并表明尽管板材边缘存在自由边界条件，但由于收缩区和非收缩区之间的竞争而导致的面内环向压缩可能会引起屈曲。随后，进行屈曲分析以数值确定屈曲应变，探索材料和几何参数对其屈曲阈值的影响。使用简单的缩放参数来证明当收缩区域对应于非收缩区域时，可以获得收缩半径的最小（临界）屈曲应变。结果表明，当收缩区的杨氏模量约为非收缩区的十倍时，临界屈曲模式可以从鞍形模式切换到波纹模式，具体取决于收缩尺寸和环面的半径比。
This paper reports a detailed buckling analysis of a free-standing annular sheet subjected to partial shrinkage as one of the strategies of morphing structures, which has received considerable attention lately. The linear buckling problem can be decomposed into in-plane and out-of-plane deformations. The in-plane (Lamé) problem is first analysed to determine the stress distribution and show that in-plane hoop compression due to the competition between shrinkage and non-shrinkage zones can induce buckling despite free boundary conditions at the edges of the sheet. Subsequently, buckling analysis is performed to numerically determine buckling strains, to explore the effect of material and geometrical parameters on their buckling thresholds. A simple scaling argument is used to demonstrate that minimised (critical) buckling strain to the shrinkage radius is obtained when the shrinkage area corresponds to the non-shrinkage area. The results demonstrate that critical buckling mode can switch from a saddle to ripple mode when Young’s modulus in the shrinkage zone is approximately ten times that of the non-shrinkage zone, depending on the shrinkage size and radius ratio of the annuli.