On the buckling of elastic rings by external confinement
On the buckling of elastic rings by external confinement
复制标题
外约束作用下弹性环的屈曲问题
DOI：
10.1098/rsta.2016.0227
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
T. Mullin
中科院分区：
文献类型：
--
作者：
A. Hazel;T. Mullin
我们报告的结果的实验和数值研究薄弹性环的屈曲限制在容器内的圆形或规则多边形横截面。环漂浮在容器中保持的水的表面上，并且流体的受控移除增加了环的限制。增加的压缩力可导致环弯曲成各种形状。对于圆形容器，需要有限的扰动来诱导屈曲，而在多边形容器中，屈曲通过与规范欧拉柱屈曲密切相关的线性不稳定性发生。基于Kirchhoff-Love梁理论的模型的开发和数值求解，显示出良好的协议与实验和揭示，在多边形增加边的数量意味着屈曲发生在限制水平降低。这篇文章是主题问题的一部分“通过复杂介质中的不稳定性图案：理论和应用”。
We report the results of an experimental and numerical investigation into the buckling of thin elastic rings confined within containers of circular or regular polygonal cross section. The rings float on the surface of water held in the container and controlled removal of the fluid increases the confinement of the ring. The increased compressive forces can cause the ring to buckle into a variety of shapes. For the circular container, finite perturbations are required to induce buckling, whereas in polygonal containers the buckling occurs through a linear instability that is closely related to the canonical Euler column buckling. A model based on Kirchhoff–Love beam theory is developed and solved numerically, showing good agreement with the experiments and revealing that in polygons increasing the number of sides means that buckling occurs at reduced levels of confinement. This article is part of the themed issue ‘Patterning through instabilities in complex media: theory and applications.’