Numerical Study of the Stress Response of Two-Dimensional Dense Granular Packings
arXiv:cond-mat/0511241 · doi:10.1140/epje/i2006-10012-6
Abstract
We investigate the Green function of two-dimensional dense random packings of grains in order to discriminate between the different theories of stress transmission in granular materials. Our computer simulations allow for a detailed quantitative investigation of the dynamics which is difficult to obtain experimentally. We show that both hyperbolic and parabolic models of stress transmission fail to predict the correct stress distribution in the studied region of the parameters space. We demonstrate that the compressional and shear components of the stress compare very well with the predictions of isotropic elasticity for a wide range of pressures and porosities and for both frictional and frictionless packings. However, the states used in this study do not include the critical isostatic point for frictional particles, so that our results do not preclude the fact that corrections to elasticity may appear at the critical point of jamming, or for other sample preparation protocols, as discussed in the main text. We show that the agreement holds in the bulk of the packings as well as at the boundaries and we validate the linear dependence of the stress profile width with depth.
arXiv comment7 pages, 5 figures
References in corpus (22)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- A Model for Force Fluctuations in Bead Packs
- Effects of compression on the vibrational modes of marginally jammed solids
- Jamming transition in emulsions and granular materials
- Granular Packings: Nonlinear elasticity, sound propagation and collective relaxation dynamics
- Footprints in Sand: The Response of a Granular Material to Local Perturbations
- Statistics of the contact network in frictional and frictionless granular packings
- Stress Propagation through Frictionless Granular Material
- Force Chains, Microelasticity and Macroelasticity
- Elastic wave propagation in confined granular systems
- Green's Function Measurements of Force Transmission in 2D Granular Materials
- Statistical Mechanics of Stress Transmission in Disordered Granular Arrays
- Stresses in silos: Comparison between theoretical models and new experiments
- Models of stress fluctuations in granular media
- Green's function probe of a static granular piling
- Continuum limit of amorphous elastic bodies (II): Response to a point source
- Anisotropy in granular media: classical elasticity and directed force chain network
- Stress Transmission through Three-Dimensional Ordered Granular Arrays
- From the stress response function (back) to the sandpile `dip'
- Stress response function of a granular layer: quantitative comparison between experiments and isotropic elasticity
- Robust propagation direction of stresses in a minimal granular packing
- Stress response function of a two-dimensional ordered packing of frictional beads
Cited by in corpus (8)
- Critical scaling in linear response of frictionless granular packings near jamming
- From the stress response function (back) to the sandpile `dip'
- Elasticity from the Force Network Ensemble in Granular Media
- Stress Response of Granular Systems
- Mechanical properties of inclined frictional granular layers
- Nonlinear elastic stress response in granular packings
- Stress response inside perturbed particle assemblies
- Critical-like Features of Stress Response in Frictional Packings