Average stresses and force fluctuations in non-cohesive granular materials
arXiv:cond-mat/9710089 · doi:10.1103/PhysRevE.57.3204
Abstract
A lattice model is presented for investigating the fluctuations in static granular materials under gravitationally induced stress. The model is similar in spirit to the scalar q-model of Coppersmith et al., but ensures balance of all components of forces and torques at each site. The geometric randomness in real granular materials is modeled by choosing random variables at each site, consistent with the assumption of cohesionless grains. Configurations of the model can be generated rapidly, allowing the statistical study of relatively large systems. For a 2D system with rough walls, the model generates configurations consistent with continuum theories for the average stresses (unlike the q-model) without requiring the assumption of a constitutive relation. For a 2D system with periodic boundary conditions, the model generates single-grain force distributions similar to those obtained from the q-model with a singular distribution of q's.
18 pages, 10 figures. Uses aps,epsfig,graphicx,floats,revtex
References in corpus (1)
Cited by in corpus (23)
- Force distributions near the jamming and glass transitions
- Force distributions in 3D granular assemblies: Effects of packing order and inter-particle friction
- Geometric origin of mechanical properties of granular materials
- Stress Propagation through Frictionless Granular Material
- Exact Calculation of the Spatio-temporal Correlations in the Takayasu model and in the q-model of Force Fluctuations in Bead Packs
- Shear stress fluctuations in the granular liquid and solid phases
- Granular contact force density of states and entropy in a modified Edwards ensemble
- Force distributions in a triangular lattice of rigid bars
- Long Range Correlations in Granular Shear Flow I: Numerical Evidence
- Properties of layer-by-layer vector stochastic models of force fluctuations in granular materials
- A Ball in a Groove
- Long Range Correlation in Granular Shear Flow II: Theoretical Implications
- A scalar model of inhomogeneous elastic and granular media
- Force distribution in a scalar model for non-cohesive granular material
- Forces on Bins - The Effect of Random Friction
- From force distribution to average coordination number in frictional granular matter
- Force correlations in the q-model for general q-distributions
- Dynamics and Critical Behaviour of the q-model
- Vector lattice model for stresses in granular materials
- On velocity profiles, stresses and Bagnold scaling of sheared granular system in zero gravity
- Random neighbour model for yielding
- Distribution of contact forces in a homogeneous granular material of identical spheres under triaxial compression
- Asymptotic behavior of a stationary silo with absorbing walls