Scale separation in granular packings: stress plateaus and fluctuations

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dc.creatorGoldenberg, C.
dc.creatorAtman, A. P. F.
dc.creatorClaudin, P.
dc.creatorCombe, G.
dc.creatorGoldhirsch, I.
dc.date2005-11-24
dc.date2006-05-02
dc.date.accessioned2026-07-07T06:49:24Z
dc.date.available2026-07-07T06:49:24Z
dc.descriptionIt is demonstrated, by numerical simulations of a 2D assembly of polydisperse disks, that there exists a range (plateau) of coarse graining scales for which the stress tensor field in a granular solid is nearly resolution independent, thereby enabling an `objective' definition of this field. Expectedly, it is not the mere size of the the system but the (related) magnitudes of the gradients that determine the widths of the plateaus. Ensemble averaging (even over `small' ensembles) extends the widths of the plateaus to sub-particle scales. The fluctuations within the ensemble are studied as well. Both the response to homogeneous forcing and to an external compressive localized load (and gravity) are studied. Implications to small solid systems and constitutive relations are briefly discussed.
dc.description4 pages, 4 figures, RevTeX 4, Minor corrections to match the published version
dc.identifierhttps://arxiv.org/abs/cond-mat/0511610
dc.identifierhttp://arxiv.org/abs/cond-mat/0511610
dc.identifierPhysical Review Letters 96, 168001 (2006)
dc.identifierdoi:10.1103/PhysRevLett.96.168001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104327
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.subjectMaterials Science
dc.titleScale separation in granular packings: stress plateaus and fluctuations
dc.typetext

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