Force distributions in a triangular lattice of rigid bars.

Journal Article

We study the uniformly weighted ensemble of force balanced configurations on a triangular network of nontensile contact forces. For periodic boundary conditions corresponding to isotropic compressive stress, we find that the probability distribution for single-contact forces decays faster than exponentially. This superexponential decay persists in lattices diluted to the rigidity percolation threshold. On the other hand, for anisotropic imposed stresses, a broader tail emerges in the force distribution, becoming a pure exponential in the limit of infinite lattice size and infinitely strong anisotropy.

Full Text

Duke Authors

Cited Authors

  • Tighe, BP; Socolar, JES; Schaeffer, DG; Mitchener, WG; Huber, ML

Published Date

  • September 2005

Published In

Volume / Issue

  • 72 / 3 Pt 1

Start / End Page

  • 031306 -

PubMed ID

  • 16241425

International Standard Serial Number (ISSN)

  • 1539-3755

Digital Object Identifier (DOI)

  • 10.1103/PhysRevE.72.031306

Language

  • eng

Conference Location

  • United States