Scale separation in granular packings: stress plateaus and fluctuations

Details Scale separation in granular packings: stress plateaus and fluctuations Scale separation in granular packings: stress plateaus and fluctuations

2005-11-24

arxiv.org/abs/cond-mat/0511610v4

Physical Review Letters 96, 168001 (2006)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, RevTeX 4, Minor corrections to match the published version

Scientific paper

10.1103/PhysRevLett.96.168001

It is demonstrated, by numerical simulations of a 2D assembly of polydisperse disks, that there exists a range (plateau) of coarse graining scales for which the stress tensor field in a granular solid is nearly resolution independent, thereby enabling an `objective' definition of this field. Expectedly, it is not the mere size of the the system but the (related) magnitudes of the gradients that determine the widths of the plateaus. Ensemble averaging (even over `small' ensembles) extends the widths of the plateaus to sub-particle scales. The fluctuations within the ensemble are studied as well. Both the response to homogeneous forcing and to an external compressive localized load (and gravity) are studied. Implications to small solid systems and constitutive relations are briefly discussed.

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