On the Granular Stress-Geometry Equation
arXiv:1303.0260 · doi:10.1209/0295-5075/105/28001
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.
arXiv comment6 pages
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- Renormalization of elastic quadrupoles in amorphous solids
- Disordered Contact Networks in Jammed Packings of Frictionless Disks
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