Response of a hexagonal granular packing under a localized overload: effects of pressure
arXiv:cond-mat/0503752
Abstract
We study the response of a two-dimensional hexagonal packing of rigid, frictionless spherical grains due to a vertically downward point force on a single grain at the top layer. We use a statistical approach, where each configuration of the contact forces is equally likely. We find that the response is double-peaked, independantly of the details of boundary conditions. The two peaks lie precisely on the downward lattice directions emanating from the point of application of the force. We examine the influence of the confining pressure applied to the packing.
4 pages, 4 figures, to appear in proceedings of Powders and Grains 2005
References in corpus (9)
- Force Distribution in a Granular Medium
- A Model for Force Fluctuations in Bead Packs
- Footprints in Sand: The Response of a Granular Material to Local Perturbations
- 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 Chains, Microelasticity and Macroelasticity
- Green's Function Measurements of Force Transmission in 2D Granular Materials
- Granular media: some ideas from statistical physics
- Response of a Hexagonal Granular Packing under a Localized External Force: Exact Results