On the granular stress-geometry equation

On the granular stress-geometry equation

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 rel...

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Veröffentlicht in:Europhysics letters 2014-01, Vol.105 (2), p.28001-p1-28001-p6
Hauptverfasser: DeGiuli, Eric, Schoof, Christian
Format: Artikel
Sprache:eng
Schlagworte:
45.70.-n
46.05.+b
83.80.Fg
Approximation
Calculus
Elasticity
Granular materials
Mathematical analysis
Stresses
Two dimensional
Voids
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Zusammenfassung: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.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/105/28001