Jamming in frictionless packings of spheres: determination of the critical volume fraction

F. Göncü, F. Göncü, Orencio Duran Vinent, O. Durán

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The jamming transition in granular packings is characterized by a sudden change in the coordination number. In this work we investigate the evolution of coordination number as function of volume fraction for frictionless packings of spheres undergoing isotropic deformation. Using the results obtained from Discrete Element Method simulations, we confirm that the coordination number depends on volume fraction by a power law with exponent α≈0.5 above the critical volume fraction and up to rather high densities. We find that the system size and loading rate do not have an important effect on the evolution of the coordination number. Polydispersity of the packing seems to cause a shift in the critical volume fraction, i.e., more heterogeneous packings jam at higher volume fractions. Finally, we propose and evaluate alternative methods to determine the critical volume fraction based on the number of rattlers, the pressure and the ratio of kinetic and potential energies. The results are all consistent with the critical volume fractions obtained from the fits of the power law to the simulation data.
Original languageUndefined
Title of host publicationPowder and Grains 2009
EditorsNakagawa Masami, Stefan Luding
Place of PublicationGolden Colorado USA
PublisherAmerican Institute of Physics
ISBN (Print)978-0-7354-0682-7
Publication statusPublished - 13 Jul 2009
Event6th International Conference on Micromechanics of Granular Media, Powders and Grains 2009 - Golden, United States
Duration: 13 Jul 200917 Jul 2009
Conference number: 6

Publication series

NameAIP Conference Proceedings
PublisherAmerican Institute of Physics


Conference6th International Conference on Micromechanics of Granular Media, Powders and Grains 2009
Abbreviated titlePG 2009
Country/TerritoryUnited States
Internet address


  • METIS-260427
  • IR-80356

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