An average model for disordered sphere packings

Research output: Contribution to conferencePaperpeer-review

Abstract

In this paper, an assembly of disordered packings is considered as a suitable set of packing cells of ordered spheres. In consequence, any of its parameters can be obtained by averaging the values of the set. Namely, the density of a packing of ordered spheres is described by two variables: the angle of the base, and the angle of the inclined edge of the associated parallelepiped. Then, the density of a packing of disordered spheres is obtained by averaging the angle of the base, and the subsequent averaging of the other angle, according to the kind of strain induced by the experiment. The average packing yields the density limits of loose sphere assemblies achieved by a process of fluidization and sedimentation in air, in water, and in viscous liquid at zero gravitational force. It also models the close sphere assemblies shaped by gentle tapping, vertical shaking, horizontal and multidirectional vibrations. The theory allows to elucidate the mechanism of each of the limits, as, for example, the metastable columns of spheres in the loosest packing, as well as the random close packing, and crystallization. The limits obtained coincide very well with the published experimental, numerical and theoretical data.

Original languageEnglish
DOIs
StatePublished - 7 Jun 2021
Event9th International Conference on Micromechanics on Granular Media, Powders and Grains 2021 - Virtual, Online, Argentina
Duration: 5 Jul 20216 Aug 2021

Conference

Conference9th International Conference on Micromechanics on Granular Media, Powders and Grains 2021
Country/TerritoryArgentina
CityVirtual, Online
Period5/07/216/08/21

Bibliographical note

Publisher Copyright:
© The Authors, published by EDP Sciences.

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