Force distributions in a triangular lattice of rigid bars
arXiv:cond-mat/0505003 · doi:10.1103/PhysRevE.72.031306
Abstract
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 super-exponential 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.
11 pages, 17 figures Minor text revisions; added references and acknowledgment
References in corpus (14)
- Force Distribution in a Granular Medium
- A Model for Force Fluctuations in Bead Packs
- Turbulent-like fluctuations in quasistatic flow of granular media
- Force distributions in 3D granular assemblies: Effects of packing order and inter-particle friction
- Force network ensemble: a new approach to static granular matter
- Force indeterminacy in the jammed state of hard disks
- Quantitative study of a freely cooling granular medium
- Average stresses and force fluctuations in non-cohesive granular materials
- Ensemble Theory for Force Networks in Hyperstatic Granular Matter
- Measurement of Indeterminacy in Packings of Perfectly Rigid Disks
- Stress in frictionless granular material: Adaptive Network Simulations
- Granular contact force density of states and entropy in a modified Edwards ensemble
- Transients in sheared granular matter
- Elegance of disordered granular packings: a validation of Edwards' hypothesis
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- The tail of the contact force distribution in static granular materials
- Why Do Granular Materials Stiffen with Shear Rate? A Test of Novel Stress-Based Statistics
- Sheared force-networks: anisotropies, yielding and geometry
- Elasticity from the Force Network Ensemble in Granular Media
- Laws of Granular Solids. Geometry and Topology
- Force balance in canonical ensembles of static granular packings
- Universal Anisotropy in Force Networks under Shear
- H theorem for contact forces in granular materials
- Origin of Corrections to Mean-field at the Onset of Unjamming
- Scaling collapse at the jamming transition
- Bounds on the shear load of cohesionless granular matter
- Evolution of the force distributions in jammed packings of soft particles
- Jamming transition and normal modes of polydispersed soft particle packing