Bounds on the shear load of cohesionless granular matter

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dc.creatorEllenbroek, Wouter G.
dc.creatorSnoeijer, Jacco H.
dc.date2006-06-28
dc.date2006-10-16
dc.date.accessioned2026-07-07T07:43:26Z
dc.date.available2026-07-07T07:43:26Z
dc.descriptionWe characterize the force state of shear-loaded granular matter by relating the macroscopic stress to statistical properties of the force network. The purely repulsive nature of the interaction between grains naturally provides an upper bound for the sustainable shear stress, which we analyze using an optimization procedure inspired by the so-called force network ensemble. We establish a relation between the maximum possible shear resistance and the friction coefficient between individual grains, and find that anisotropies of the contact network (or the fabric tensor) only have a subdominant effect. These results can be considered the hyperstatic limit of the force network ensemble and we discuss possible implications for real systems. Finally, we argue how force anisotropies can be related quantitatively to experimental measurements of the effective elastic constants.
dc.description17 pages, 6 figures. v2: slightly rearranged, introduction and discussion rewritten
dc.identifierhttps://arxiv.org/abs/cond-mat/0606747
dc.identifierhttp://arxiv.org/abs/cond-mat/0606747
dc.identifierJ. Stat. Mech. (2007) P01023.
dc.identifierdoi:10.1088/1742-5468/2007/01/P01023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122826
dc.subjectDisordered Systems and Neural Networks
dc.subjectSoft Condensed Matter
dc.titleBounds on the shear load of cohesionless granular matter
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