Skip to main content
Article thumbnail
Location of Repository

Low-Frequency Behavior of Beads Constrained on a Lattice

By Bruno Gilles and Christophe Coste

Abstract

International audienceWe study sound propagation in a triangular lattice of spherical beads under isotropic stress. Polydispersity of real beads breaks some contacts, creating a disordered lattice of contacting beads. At large stress, the sound velocity behaves according to Hertz contact law and departs from it at lower stress. This evolution is reversible, with the same crossover when increasing or decreasing the stress, for a given piling. Correlations are much more sensitive to disorder. When calculated with signals propagated in the same lattice, they evolve reversibly with the stress, being much higher at large stress when the contact lattice is more regular. This leads to an interpretation of the non-Hertzian behavior in terms of progressive activation of contacts, in discrepancy with previous models involving buckling of force chains

Topics: [ PHYS.MECA.ACOU ] Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Publisher: American Physical Society
Year: 2003
OAI identifier: oai:HAL:hal-01406751v1
Provided by: Hal-Diderot
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • https://hal-univ-diderot.archi... (external link)
  • https://hal-univ-diderot.archi... (external link)
  • https://hal-univ-diderot.archi... (external link)
  • https://hal-univ-diderot.archi... (external link)
  • https://hal-univ-diderot.archi... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.