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  • Letter
  • Open Access

Jamming of bidisperse frictional spheres

Ishan Srivastava1,2,*, Scott A. Roberts2, Joel T. Clemmer2, Leonardo E. Silbert3, Jeremy B. Lechman2, and Gary S. Grest2

  • 1Center for Computational Sciences and Engineering, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
  • 2Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
  • 3School of Math, Science, and Engineering, Central New Mexico Community College, Albuquerque, New Mexico 87106, USA

  • *isriva@lbl.gov
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Phys. Rev. Research 3, L032042 – Published 13 August, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L032042

Abstract

By generalizing a geometric argument for frictionless spheres, a model is proposed for the jamming density ϕJ of mechanically stable packings of bidisperse, frictional spheres. The monodisperse, μs-dependent jamming density ϕJmono(μs) is the only input required in the model, where μs is the coefficient of friction. The predictions of the model are validated by robust estimates of ϕJ obtained from computer simulations of up to 107 particles for a wide range of μs, and size ratios up to 40:1. Although ϕJ varies nonmonotonically with the volume fraction of small spheres fs for all μs, its maximum value ϕJ,max at an optimal fmaxs are both μs dependent. The optimal fmaxs is characterized by a sharp transition in the fraction of small rattler particles.

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Phys. Rev. Research 3, L032042– Published 13 August, 2021
  • Received 3 May 2021
  • Accepted 28 July 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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