Persistence of Perfect Packing in Twisted Bundles of Elastic Filaments
Persistence of Perfect Packing in Twisted Bundles of Elastic Filaments
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DOI：
10.1103/physrevlett.120.248002
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发表时间：
2018-06-11
影响因子：
8.6
通讯作者：
Kudrolli, Arshad
中科院分区：
文献类型：
--
作者：
Panaitescu, Andreea;Grason, Gregory M.;Kudrolli, Arshad
一般认为，几何受挫阻止了在扭转时在均匀的纤维束中进行最大六角形的填充。我们证明，由于几何膨胀与弹性收缩的微妙抵消，六角形填充弹性丝丛可以在较大的扭曲范围内保持其有序性。利用X射线扫描和定位束中的每个细丝，我们通过测量束横截面上的空间关联函数，显示出即使扭度增加到360度以上，有序仍然具有显著的持久性。我们介绍了一个模型，该模型分析了弹性的组合效应，包括细丝拉伸以及径向和环状压缩，这是解释Hookean细丝观察到的这种一般有序保持所必需的。
It is generally understood that geometric frustration prevents maximal hexagonal packings in uniform filament bundles upon twist. We demonstrate that a hexagonal packed elastic filament bundle can preserve its order over a wide range of twist due to a subtle counteraction of geometric expansion with elastic contraction. Using x-ray scanning and by locating each filament in the bundle, we show the remarkable persistence of order even as the twist is increased well above 360 degrees, by measuring the spatial correlation function across the bundle cross section. We introduce a model which analyzes the combined effects of elasticity including filament stretching and radial and hoop compression necessary to explain this generic preservation of order observed with Hookean filaments.