Physics
Persistence of Perfect Packing in Twisted Bundles of Elastic Filaments
Document Type
Article
Abstract
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°, 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.
Publication Title
Physical Review Letters
Publication Date
6-11-2018
Volume
120
Issue
24
ISSN
0031-9007
DOI
10.1103/PhysRevLett.120.248002
Keywords
elastic deformation, granular packing, twist deformation
Repository Citation
Panaitescu, Andreea; Grason, Gregory M.; and Kudrolli, Arshad, "Persistence of Perfect Packing in Twisted Bundles of Elastic Filaments" (2018). Physics. 95.
https://commons.clarku.edu/faculty_physics/95
