On the packing and crushing of granular materials
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 w...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018
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| Online Access: | https://eprints.nottingham.ac.uk/53465/ |
| _version_ | 1848798945709391872 |
|---|---|
| author | de Bono, John P. McDowell, Glenn R. |
| author_facet | de Bono, John P. McDowell, Glenn R. |
| author_sort | de Bono, John P. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:27:50Z |
| format | Article |
| id | nottingham-53465 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:27:50Z |
| publishDate | 2018 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-534652021-09-24T14:51:47Z https://eprints.nottingham.ac.uk/53465/ On the packing and crushing of granular materials de Bono, John P. McDowell, Glenn R. 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. Elsevier 2018-07-29 Article PeerReviewed application/pdf en cc_by https://eprints.nottingham.ac.uk/53465/1/Packing.pdf 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 http://dx.doi.org/10.1016/j.ijsolstr.2018.07.011 10.1016/j.ijsolstr.2018.07.011 10.1016/j.ijsolstr.2018.07.011 10.1016/j.ijsolstr.2018.07.011 |
| spellingShingle | de Bono, John P. McDowell, Glenn R. On the packing and crushing of granular materials |
| title | On the packing and crushing of granular materials |
| title_full | On the packing and crushing of granular materials |
| title_fullStr | On the packing and crushing of granular materials |
| title_full_unstemmed | On the packing and crushing of granular materials |
| title_short | On the packing and crushing of granular materials |
| title_sort | on the packing and crushing of granular materials |
| url | https://eprints.nottingham.ac.uk/53465/ https://eprints.nottingham.ac.uk/53465/ https://eprints.nottingham.ac.uk/53465/ |