Scale separation in granular packings: stress plateaus and fluctuations
arXiv:cond-mat/0511610 · doi:10.1103/PhysRevLett.96.168001
Abstract
It is demonstrated, by numerical simulations of a 2D assembly of polydisperse disks, that there exists a range (plateau) of coarse graining scales for which the stress tensor field in a granular solid is nearly resolution independent, thereby enabling an `objective' definition of this field. Expectedly, it is not the mere size of the the system but the (related) magnitudes of the gradients that determine the widths of the plateaus. Ensemble averaging (even over `small' ensembles) extends the widths of the plateaus to sub-particle scales. The fluctuations within the ensemble are studied as well. Both the response to homogeneous forcing and to an external compressive localized load (and gravity) are studied. Implications to small solid systems and constitutive relations are briefly discussed.
arXiv comment4 pages, 4 figures, RevTeX 4, Minor corrections to match the published version
References in corpus (14)
- Force Distribution in a Granular Medium
- Continuum limit of amorphous elastic bodies (III): Three dimensional systems
- Force distributions in 3D granular assemblies: Effects of packing order and inter-particle friction
- On the Microscopic Foundations of Elasticity
- Force Chains, Microelasticity and Macroelasticity
- Vibrations of amorphous, nanometric structures: When does continuum theory apply?
- Green's function probe of a static granular piling
- Continuum limit of amorphous elastic bodies (II): Response to a point source
- Stress Transmission through Three-Dimensional Ordered Granular Arrays
- Small and Large Scale Granular Statics
- From the stress response function (back) to the sandpile `dip'
- Stress response function of a granular layer: quantitative comparison between experiments and isotropic elasticity
- Sensitivity of the stress response function to packing preparation
- Packing geometry and statistics of force networks in granular media
Cited by in corpus (16)
- Inhomogeneous elastic response of silica glass
- Jammed frictionless discs: connecting local and global response
- Particle displacements in the elastic deformation of amorphous materials: local fluctuations vs. non-affine field
- From discrete elements to continuum fields: Extension to bidisperse systems
- Effects of Friction and Disorder on the Quasi-Static Response of Granular Solids to a Localized Force
- Avalanche Interpretation of the Power-Law Energy Spectrum in Three-Dimensional Dense Granular Flow
- Stress Response of Granular Systems
- Unjamming due to local perturbations in granular packings with and without gravity
- Mechanical properties of inclined frictional granular layers
- Mechanical response of an inclined frictional granular layer approaching unjamming
- Jamming transition in a two-dimensional open granular pile with rolling resistance
- Quantitative test of the time dependent Gintzburg-Landau equation for sheared granular flow in two dimension
- Lift force acting on an intruder in dense, granular shear flows
- Stress Response in Confined Arrays of Frictional and Frictionless Particles
- The classical granular temperature and slightly beyond
- Nonlinear elasto-plastic model for dense granular flow