On the packing and crushing of granular materials

de Bono, John P. and McDowell, Glenn R. (2018) On the packing and crushing of granular materials. International Journal of Solids and Structures . ISSN 0020-7683

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Abstract

This paper is a study of the dependence of the volume of voids in a granular material on the particle size distribution. It has previously been proposed that the volume of voids is proportional to the volume of the smallest particles. In a particle size distribution which is progressively becoming wider (e.g. as occurs due to crushing during the compression of sand), the smallest size of particle decreases, yet there are only ever a few of these particles out of many thousands or millions. This paper attempts to identify which particles govern the overall density of a granular material, and a new definition of the ‘smallest particles’ is proposed. These particles are shown to govern the void space in a range of simulations of spherical and non-spherical crushable particles. The theory also applies to idealised Apollonian sphere packings.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Engineering
Identification Number: https://doi.org/10.1016/j.ijsolstr.2018.07.011
Depositing User: Eprints, Support
Date Deposited: 24 Aug 2018 15:07
Last Modified: 19 Sep 2018 13:41
URI: http://eprints.nottingham.ac.uk/id/eprint/53465

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