Sheared force-networks: anisotropies, yielding and geometry
arXiv:cond-mat/0508411 · doi:10.1103/PhysRevLett.96.098001
Abstract
A scenario for yielding of granular matter is presented by considering the ensemble of force networks for a given contact network and applied shear stress . As is increased, the probability distribution of contact forces becomes highly anisotropic, the difference between average contact forces along minor and major axis grows, and the allowed networks span a shrinking subspace of all force-networks. Eventually, contacts start to break, and at the yielding shear stress, the packing becomes effectively isostatic. The size of the allowed subspace exhibits simple scaling properties, which lead to a prediction of the yield stress for packings of arbitrary contact number.
4 pages, 4 figures
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