The theory of granular packings for coarse soils

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

Coarse soils are substances made of grains of different shape, size and orientation. In this paper, new massive-measurable grain indexes are defined to develop a simple and systematic theory for the ideal packing of grains. First, a linear relationship between an assemblage of monodisperse spheres and an assemblage of polydisperse grains is deduced. Then, a general formula for the porosity of linearly ordered packings of spheres in contact is settled down by the appropriated choosing of eight neighboring spheres located at the vertices of the unit parallelepiped. The porosity of axisymmetric packings of grains, related to sand piles and axisymmetric compression tests, is proposed to be determined averaging the respective linear parameters. Since they can be tested experimentally, porosities of the densest state and the loosest state of a granular soil can be used to verify the accuracy of the present theory. Diagrams for these extreme quantities show a good agreement between the theoretical lines and the experimental data, no matter the dependency on the protocols and mineral composition.

Original languageEnglish
Title of host publicationPowders and Grains 2013 - Proceedings of the 7th International Conference on Micromechanics of Granular Media
Pages341-344
Number of pages4
DOIs
StatePublished - 2013
Event7th International Conference on Micromechanics of Granular Media: Powders and Grains 2013 - Sydney, NSW, Australia
Duration: 8 Jul 201312 Jul 2013

Publication series

NameAIP Conference Proceedings
Volume1542
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference7th International Conference on Micromechanics of Granular Media: Powders and Grains 2013
Country/TerritoryAustralia
CitySydney, NSW
Period8/07/1312/07/13

Keywords

  • grains
  • lattices
  • maximum porosity
  • minimum porosity
  • Packings

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