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Internal friction and absence of dilatancy of packings of frictionless polygons

TitleInternal friction and absence of dilatancy of packings of frictionless polygons
Publication TypeJournal Article
Year of Publication2015
AuthorsAzéma E, Radjaï F, Roux J-N 
JournalPhysical Review E
Volume91
Issue1
PaginationArticle Number: 010202
Date PublishedJan-30-2015
ISSN1539-3755
Abstract

By means of numerical simulations, we show that assemblies of frictionless rigid pentagons in slow shear flow possess an internal friction coefficient (equalto0.183±0.008 with our choice of moderately polydisperse grains) but no macroscopic dilatancy. In other words, despite side-side contacts tending to hinder relative particle rotations, the solidfraction under quasistatic shear coincides with that of isotropic random close packings of pentagonal particles. Properties of polygonal grains are thus similar to those of disks in that respect. We argue that continuous reshuffling of the force-bearing network leads to frequent collapsing events at the microscale, thereby causing the macroscopic dilatancy to vanish. Despite such rearrangements, the shear flow favors an anisotropic structure that is at the origin of the ability of the system to sustain shear stress.

DOI10.1103/PhysRevE.91.010202
Short TitlePhys. Rev. E
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