Elasticity from the Force Network Ensemble in Granular Media

Details Elasticity from the Force Network Ensemble in Granular Media Elasticity from the Force Network Ensemble in Granular Media

2006-06-14

arxiv.org/abs/cond-mat/0606349v2

Phys. Rev. Lett. 97, 208001 (2006)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 5 figures, accepted for Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.97.208001

Transmission of forces in static granular materials are studied within the framework of the force network ensemble, by numerically evaluating the mechanical response of hexagonal packings of frictionless grains and rectangular packings of frictional grains. In both cases, close to the point of application of the overload, the response is non-linear and displays two peaks, while at larger length-scales it is linear and elastic-like. The cross-over between these two behaviors occurs at a depth that increases with the magnitude of the overload, and decreases with increasing friction.

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