Force-chain buckling in granular media: a structural mechanics perspective

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
Giles W HuntJingyu Shi

Abstract

Parallels are drawn between the response of a discrete strut on a linear elastic foundation and force-chain buckling in a constrained granular medium. Both systems buckle initially into periodic shapes, with wavelengths that depend on relative resistances to lateral displacement, and curvature in the buckled shape. Under increasing end shortening, the classical structural model evolves to a localized form extending over a finite number of contributing links. By analogy, it is conjectured that the granular model of force-chain buckling might follow much the same evolutionary route into a shear band.

References

Oct 2, 2007·Chaos·John Burke, Edgar Knobloch

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Citations

May 22, 2013·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·G W HuntJ Hammond
Jun 13, 2015·Royal Society Open Science·Kevin J HanleyXin Huang
Dec 2, 2009·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Alison Ord, Bruce E Hobbs
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·David M Walker, Antoinette Tordesillas
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Antoinette TordesillasQun Lin
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·David M WalkerGary Froyland

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