Elasticity from the Force Network Ensemble in Granular Media
arXiv:cond-mat/0606349 · doi:10.1103/PhysRevLett.97.208001
Abstract
Transmission of forces in static granular materials are studied within the framework of the force network ensemble, by numerically evaluating the mechanical response of hexagonal packings of frictionless grains and rectangular packings of frictional grains. In both cases, close to the point of application of the overload, the response is non-linear and displays two peaks, while at larger length-scales it is linear and elastic-like. The cross-over between these two behaviors occurs at a depth that increases with the magnitude of the overload, and decreases with increasing friction.
4 pages, 5 figures, accepted for Phys. Rev. Lett
References in corpus (18)
- A Model for Force Fluctuations in Bead Packs
- Geometry of Frictionless and Frictional Sphere Packings
- Footprints in Sand: The Response of a Granular Material to Local Perturbations
- Force network ensemble: a new approach to static granular matter
- Green's Function Measurements of Force Transmission in 2D Granular Materials
- Scale invariance and universality of force networks in static granular matter
- Green's function probe of a static granular piling
- Force indeterminacy in the jammed state of hard disks
- Anisotropy in granular media: classical elasticity and directed force chain network
- Stress Transmission through Three-Dimensional Ordered Granular Arrays
- Measurement of Indeterminacy in Packings of Perfectly Rigid Disks
- Force distributions in a triangular lattice of rigid bars
- Sheared force-networks: anisotropies, yielding and geometry
- Sensitivity of the stress response function to packing preparation
- Stress response function of a two-dimensional ordered packing of frictional beads
- Numerical Study of the Stress Response of Two-Dimensional Dense Granular Packings
- Response of a Hexagonal Granular Packing under a Localized External Force
- Response of a Hexagonal Granular Packing under a Localized External Force: Exact Results
Cited by in corpus (14)
- Critical scaling in linear response of frictionless granular packings near jamming
- Jammed frictionless discs: connecting local and global response
- Hydrodynamic correlations in the translocation of biopolymer through a nanopore: theory and multiscale simulations
- Influence of polydispersity on micromechanics of granular materials
- The tail of the contact force distribution in static granular materials
- Effects of Friction and Disorder on the Quasi-Static Response of Granular Solids to a Localized Force
- Unjamming of Granular Packings due to Local Perturbations: Stability and Decay of Displacements
- Unjamming due to local perturbations in granular packings with and without gravity
- Extent of force indeterminacy in packings of frictional rigid disks
- Universal Anisotropy in Force Networks under Shear
- Structural Properties of Stiff Elastic Networks
- Nonlinear elastic stress response in granular packings
- Bounds on the shear load of cohesionless granular matter
- Critical-like Features of Stress Response in Frictional Packings