Internal friction and absence of dilatancy of packings of frictionless polygonsReport as inadecuate




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1 LMGC - Laboratoire de Mécanique et Génie Civil 2 PMMD - Physique et Mécanique des Milieux Divisés LMGC - Laboratoire de Mécanique et Génie Civil 3 MSE2 - Multiscale Materials Science for Energy and Environment 4 MIST - Laboratoire de micromécanique et intégrité des structures 5 Rhéophysique NAVIER UMR 8205 - Laboratoire Navier 6 NAVIER UMR 8205 - Laboratoire Navier

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.





Author: Émilien Azéma - Farhang Radjaï - Jean-Noël Roux -

Source: https://hal.archives-ouvertes.fr/



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