On the Granular Stress-Geometry Equation

Abstract

Using discrete calculus, we derive the missing stress-geometry equation for rigid granular materials in two dimensions, in the mean-field approximation. We show that (i) the equation imposes that the voids cannot carry stress, (ii) stress transmission is generically elliptic and has a quantitative relation to anisotropic elasticity, and (iii) the packing fabric plays an essential role.

6 pages

References in corpus (4)

• Scaling of phononic transport with connectivity in amorphous solids
• How granular materials deform in quasistatic conditions
• Laws of Granular Solids. Geometry and Topology
• Anisotropic elastic theory of preloaded granular media

Cited by in corpus (6)

• Field theory for amorphous solids
• Edwards field theory for glasses and granular matter
• Force networks, torque balance and Airy stress in the planar vertex model of a confluent epithelium
• Renormalization of elastic quadrupoles in amorphous solids
• Disordered Contact Networks in Jammed Packings of Frictionless Disks
• Comment on: `What Determines the Static Force Chains in Stressed Granular Media?'