English

On the Granular Stress-Geometry Equation

Soft Condensed Matter 2014-02-11 v3

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.

Keywords

Cite

@article{arxiv.1303.0260,
  title  = {On the Granular Stress-Geometry Equation},
  author = {Eric DeGiuli and Christian Schoof},
  journal= {arXiv preprint arXiv:1303.0260},
  year   = {2014}
}

Comments

6 pages

R2 v1 2026-06-21T23:35:12.275Z