Force Attractor in Confined Comminution of Granular Materials

O. Ben-Nun, I. Einav, and A. Tordesillas
Phys. Rev. Lett. 104, 108001 – Published 8 March 2010

Abstract

We reveal a novel attractor in the space of contact forces that bounds the behavior of granular materials during confined comminution. The attractor is reached asymptotically as the porosity reduces and the grain size distribution attains an ultimate power law scaling. The ultimate distribution of the contact forces follows a clear log-normal distribution, distinctively different from previous observations in uncrushable systems. Supporting evidence comes both from comprehensive discrete element simulations and a theoretical Apollonian model.

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  • Received 12 October 2009

DOI:https://doi.org/10.1103/PhysRevLett.104.108001

©2010 American Physical Society

Authors & Affiliations

O. Ben-Nun1, I. Einav1, and A. Tordesillas2

  • 1School of Civil Engineering, The University of Sydney, Sydney, New South Wales 2006, Australia
  • 2Department of Mathematics and Statistics, The University of Melbourne, Melbourne, Victoria 3010, Australia

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Issue

Vol. 104, Iss. 10 — 12 March 2010

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