Multiscale Analysis of the Stress State in a Granular Slope in Transition to Failure

Details Multiscale Analysis of the Stress State in a Granular Slope in Transition to Failure Multiscale Analysis of the Stress State in a Granular Slope in Transition to Failure

2004-09-23

arxiv.org/abs/cond-mat/0409619v1

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 14 Fig, submitted to PRE

Scientific paper

10.1140/epje/e2005-00031-0

By means of contact dynamics simulations, we analyze the stress state in a granular bed slowly tilted towards its angle of repose. An increasingly large number of grains are overloaded in the sense that they are found to carry a stress ratio above the Coulomb yield threshold of the whole packing. Using this property, we introduce a coarse-graining length scale at which all stress ratios are below the packing yield threshold. We show that this length increases with the slope angle and jumps to a length comparable to the depth of the granular bed at an angle below the angle of repose. This transition coincides with the onset of dilatation in the packing. We map this transition into a percolation transition of the overloaded grains, and we argue that in the presence of long-range correlations above the transition angle, the granular slope is metastable.

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