Slip Morphology of Elastic Strips on Frictional Rigid Substrates
Slip Morphology of Elastic Strips on Frictional Rigid Substrates
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DOI：
10.1103/physrevlett.118.178001
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发表时间：
2017-04-26
影响因子：
8.6
通讯作者：
Wada, Hirofumi
中科院分区：
文献类型：
--
作者：
Sano, Tomohiko G.;Yamaguchi, Tetsuo;Wada, Hirofumi
采用理论和实验相结合的方法研究了刚性摩擦基底上弹性条在垂直压应力作用下的形貌。我们发现了丰富多样的形态，其中，当弯曲弹性占主导地位的重力的影响，分为三种不同类型的状态：钉扎，部分滑动，完全滑动，这取决于垂直应变的大小和静摩擦系数。我们开发了一个理论的弹性混合夹紧铰链的边界条件下结合库仑-阿蒙顿摩擦定律，并找到良好的定量模拟和控制物理实验的协议。我们还讨论了重力的影响，以弥合刚性带和柔性绳或线的定性行为的差异。因此，我们的研究补充了最近关于弹性绳索盘绕的工作，并朝着建立对薄弹性物体如何与固体表面垂直相互作用的统一理解迈出了重要的一步。
The morphology of an elastic strip subject to vertical compressive stress on a frictional rigid substrate is investigated by a combination of theory and experiment. We find a rich variety of morphologies, which-when the bending elasticity dominates over the effect of gravity-are classified into three distinct types of states: pinned, partially slipped, and completely slipped, depending on the magnitude of the vertical strain and the coefficient of static friction. We develop a theory of elastica under mixed clamped-hinged boundary conditions combined with the Coulomb-Amontons friction law and find excellent quantitative agreement with simulations and controlled physical experiments. We also discuss the effect of gravity in order to bridge the difference in the qualitative behaviors of stiff strips and flexible strings or ropes. Our study thus complements recent work on elastic rope coiling and takes a significant step towards establishing a unified understanding of how a thin elastic object interacts vertically with a solid surface.