Jamming of bidisperse frictional spheres

By generalizing a geometric argument for frictionless spheres, a model is proposed for the jamming density ϕ_{J} of mechanically stable packings of bidisperse, frictional spheres. The monodisperse, μ_{s}-dependent jamming density ϕ_{J}^{mono}(μ_{s}) is the only input required in the model, where μ_{...

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Bibliographic Details
Main Authors: Ishan Srivastava, Scott A. Roberts, Joel T. Clemmer, Leonardo E. Silbert, Jeremy B. Lechman, Gary S. Grest
Format: Article
Language:English
Published: American Physical Society 2021-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.L032042
Description
Summary:By generalizing a geometric argument for frictionless spheres, a model is proposed for the jamming density ϕ_{J} of mechanically stable packings of bidisperse, frictional spheres. The monodisperse, μ_{s}-dependent jamming density ϕ_{J}^{mono}(μ_{s}) is the only input required in the model, where μ_{s} is the coefficient of friction. The predictions of the model are validated by robust estimates of ϕ_{J} obtained from computer simulations of up to 10^{7} particles for a wide range of μ_{s}, and size ratios up to 40:1. Although ϕ_{J} varies nonmonotonically with the volume fraction of small spheres f^{s} for all μ_{s}, its maximum value ϕ_{J,max} at an optimal f_{max}^{s} are both μ_{s} dependent. The optimal f_{max}^{s} is characterized by a sharp transition in the fraction of small rattler particles.
ISSN:2643-1564