Snap buckling of a confined thin elastic sheet
Snap buckling of a confined thin elastic sheet
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DOI：
10.1098/rspa.2015.0444
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发表时间：
2015-11-08
影响因子：
3.5
通讯作者：
Turzi, S.
中科院分区：
文献类型：
--
作者：
Napoli, G.;Turzi, S.
附着在刚性衬底上的生长或压缩的弹性薄板可能会表现出屈曲不稳定性，形成向内的驼峰。我们的研究表明，带材的形态取决于压缩能和弯曲能之间的微妙平衡。我们发现，这种不稳定性是粘附解和屈曲解之间的一阶相变，其主要控制参数与板材的伸长性有关。在几乎不可伸展的区域，我们给出了临界阈值的解析表达式。可压缩性是一个关键的假设，它允许我们解决由受限的柔性环施加在外壁上的无限压力这一明显的悖论。
A growing or compressed thin elastic sheet adhered to a rigid substrate can exhibit a buckling instability, forming an inward hump. Our study shows that the strip morphology depends on the delicate balance between the compression energy and the bending energy. We find that this instability is a first-order phase transition between the adhered solution and the buckled solution whose main control parameter is related to the sheet stretchability. In the nearly unstretchable regime, we provide an analytic expression for the critical threshold. Compressibility is the key assumption which allows us to resolve the apparent paradox of an unbounded pressure exerted on the external wall by a confined flexible loop.