Internal friction and absence of dilatancy of packings of frictionless polygons
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PhysRevE.91.010202.pdf
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720.87 KB
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Author(s)
Radjai, Franck
Azema, Emilien
Roux, Jean-Noel
Date Issued
January 2015
Journal
Physical Review E
Publisher
American Physical Society
Citation
Azema, Emilien, Farhang Radjai, and Jean-Noel Roux. "Internal friction and absence of dilatancy of packings of frictionless polygons." Phys. Rev. E 91, 010202 (January 2015). © 2015 American Physical Society
Version
Final published version
Abstract
By means of numerical simulations, we show that assemblies of frictionless rigid pentagons in slow shear flow possess an internal friction coefficient (equal to 0.183 ± 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 solid fraction 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.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.91.010202
