Low-Frequency Behavior of Beads Constrained on a Lattice

Abstract : We 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.
Type de document :
Article dans une revue
Physical Review Letters, American Physical Society, 2003
Liste complète des métadonnées

Littérature citée [9 références]  Voir  Masquer  Télécharger

https://hal-univ-diderot.archives-ouvertes.fr/hal-01406751
Contributeur : Christophe Coste <>
Soumis le : jeudi 1 décembre 2016 - 15:09:10
Dernière modification le : jeudi 15 novembre 2018 - 20:26:53
Document(s) archivé(s) le : mardi 21 mars 2017 - 13:53:25

Fichier

2003_PRL_Hexa.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

  • HAL Id : hal-01406751, version 1

Collections

Citation

Bruno Gilles, Christophe Coste. Low-Frequency Behavior of Beads Constrained on a Lattice. Physical Review Letters, American Physical Society, 2003. 〈hal-01406751〉

Partager

Métriques

Consultations de la notice

158

Téléchargements de fichiers

63