Volume 71, Number 1, July 2005
|Page(s)||70 - 76|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 June 2005|
Response of a hexagonal granular packing under a localized external force
Institute for Theoretical Physics, Universiteit van Amsterdam Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands
Accepted: 2 May 2005
We study the response of a two-dimensional hexagonal packing of rigid, frictionless spherical grains due to a vertically downward point force on a single grain at the top layer. We use a statistical approach, where each configuration of the contact forces is equally likely. We show that this problem is equivalent to a correlated q-model. We find that the response displays two peaks which lie precisely on the downward lattice directions emanating from the point of application of the force. With increasing depth, the magnitude of the peaks decreases, and a central peak develops. On the bottom of the pile, only the middle peak persists. The response of different system sizes exhibits self-similarity.
PACS: 45.70.-n – Granular systems / 45.70.Cc – Static sandpiles; granular compaction / 46.65.+g – Random phenomena and media
© EDP Sciences, 2005
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