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Phys. Rev. Lett. 97, 208001 (2006) [4 pages]

Elasticity from the Force Network Ensemble in Granular Media

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Srdjan Ostojic* and Debabrata Panja
Institute for Theoretical Physics, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands

Received 9 June 2006; published 16 November 2006

Transmission of forces in static granular materials is 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 nonlinear and displays two peaks, while at larger length scales, it is linear and elasticlike. The crossover between these two behaviors occurs at a depth that increases with the magnitude of the overload and decreases with increasing friction.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.97.208001
DOI:
10.1103/PhysRevLett.97.208001
PACS:
45.70.−n

*Present address: Laboratoire de Physique Statistique, Ecole Normale Supèrieure, 24 rue Lhomond, 75231 Paris Cedex 05, France