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Internal states of model isotropic granular packings. II. Compression and pressure cycles

Ivana Agnolin* and Jean-Noël Roux†

  • Laboratoire des Matériaux et des Structures du Génie Civil, Institut Navier, 2 allée Kepler, Cité Descartes, 77420 Champs-sur-Marne, France‡

  • *Present address: Geoforschungszentrum, Haus D, Telegrafenberg, D-14473 Potsdam, Germany.
  • †jean-noel.roux@lcpc.fr
  • ‡LMSGC is a joint laboratory depending on Laboratoire Central des Ponts et Chaussées, École Nationale des Ponts et Chaussées, and Centre National de la Recherche Scientifique.
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Phys. Rev. E 76, 061303 – Published 13 December, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.061303

Abstract

This is the second paper of a series of three investigating, by numerical means, the geometric and mechanical properties of spherical bead packings under isotropic stresses. We study the effects of varying the applied pressure P (from 1 or 10kPa up to 100MPa in the case of glass beads) on several types of configurations assembled by different procedures, as reported in the preceding paper [I. Agnolin and J.-N. Roux, Phys. Rev. E 76, 061302 (2007)]. As functions of P, we monitor changes in solid fraction Φ, coordination number z, proportion of rattlers (grains carrying no force) x0, the distribution of normal forces, the level of friction mobilization, and the distribution of near neighbor distances. Assuming that the contact law does not involve material plasticity or damage, Φ is found to vary very nearly reversibly with P in an isotropic compression cycle, but all other quantities, due to the frictional hysteresis of contact forces, change irreversibly. In particular, initial low P states with high coordination numbers lose many contacts in a compression cycle and end up with values of z and x0 close to those of the most poorly coordinated initial configurations. Proportional load variations which do not entail notable configuration changes can therefore nevertheless significantly affect contact networks of granular packings in quasistatic conditions.

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See Also

Internal states of model isotropic granular packings. I. Assembling process, geometry, and contact networks

Ivana Agnolin and Jean-Noël Roux
Phys. Rev. E 76, 061302 (2007)

Internal states of model isotropic granular packings. III. Elastic properties

Ivana Agnolin and Jean-Noël Roux
Phys. Rev. E 76, 061304 (2007)

Article Text

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Outline

Information

Phys. Rev. E 76, 061303– Published 13 December, 2007
  • Received 22 December 2006

© 2007 American Physical Society

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