Sheared force-networks: anisotropies, yielding and geometry

Details Sheared force-networks: anisotropies, yielding and geometry Sheared force-networks: anisotropies, yielding and geometry

2005-08-18

arxiv.org/abs/cond-mat/0508411v1

Phys. Rev. Lett. 96, 098001 (2006).

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.96.098001

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 $\tau$. As $\tau$ 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.

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