• Rapid Communication

Unjamming of granular packings due to local perturbations: Stability and decay of displacements

M. Reza Shaebani, Tamás Unger, and János Kertész
Phys. Rev. E 76, 030301(R) – Published 17 September 2007

Abstract

We study the mechanical response generated by local deformations in jammed packings of rigid disks. Based on discrete element simulations we determine the critical force of the local perturbation that is needed to break the mechanical equilibrium and examine the generated displacement field. Displacements decay as a power law of the distance from the perturbation point. The decay exponent and the critical force exhibit a nontrivial dependence on the friction: Both quantities are nonmonotonic and have a sharp maximum at the friction coefficient 0.1. We find that the mechanical response properties are closely related to the problem of force indeterminacy where similar nonmonotonic behavior was observed previously. We establish a direct connection between the critical force and the ensemble of static force networks.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 17 May 2007

DOI:https://doi.org/10.1103/PhysRevE.76.030301

©2007 American Physical Society

Authors & Affiliations

M. Reza Shaebani1,2, Tamás Unger1,3, and János Kertész1,3

  • 1Department of Theoretical Physics, Budapest University of Technology and Economy, H-1111 Budapest, Hungary
  • 2Institute for Advanced Studies in Basic Sciences, Zanjan 45195-1159, Iran
  • 3Solid State Research Group of the HAS, Budapest University of Technology and Economy, H-1111 Budapest, Hungary

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 76, Iss. 3 — September 2007

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×