Universal Structural Characteristics of Planar Granular Packs

Takashi Matsushima and Raphael Blumenfeld
Phys. Rev. Lett. 112, 098003 – Published 6 March 2014

Abstract

The dependence of structural self-organization of granular materials on preparation and grain parameters is key to predictive modeling. We study 60 different mechanically equilibrated polydisperse disc packs, generated numerically by two protocols. We show that, for same-variance disc size distributions (DSDs), (1) the mean coordination number of rattler-free packs versus the packing fraction is a function independent of initial conditions, friction, and the DSD, and (2) all quadron volume and cell order distributions collapse to universal forms, also independent of the above. This apparent universality suggests that, contrary to common wisdom, equilibrated granular structures may be determined mainly by the packing protocol and higher moments of the DSD.

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  • Received 26 May 2013

DOI:https://doi.org/10.1103/PhysRevLett.112.098003

© 2014 American Physical Society

Authors & Affiliations

Takashi Matsushima1,* and Raphael Blumenfeld2,3,†

  • 1Department of Engineering Mechanics and Energy, University of Tsukuba, Tsukuba 305-8573, Japan
  • 2Earth Science and Engineering, Imperial College London, London SW7 2AZ, United Kingdom
  • 3Cavendish Laboratory, Cambridge University, JJ Thomson Avenue, Cambridge CB3 0HE, United Kingdom

  • *tmatsu@kz.tsukuba.ac.jp
  • rbb11@cam.ac.uk

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Vol. 112, Iss. 9 — 7 March 2014

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