Volume 105, Number 2, January 2014
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||06 February 2014|
On the granular stress-geometry equation
1 Department of Mathematics, University of British Columbia - Vancouver, BC, Canada
2 Center for Soft Matter Research, New York University - New York, NY, USA
3 Department of Earth, Ocean, and Atmospheric Sciences, University of British Columbia - Vancouver, BC, Canada
Received: 30 September 2013
Accepted: 7 January 2014
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.
PACS: 83.80.Fg – Granular solids / 45.70.-n – Granular systems / 46.05.+b – General theory of continuum mechanics of solids
© EPLA, 2014
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