What determines static force chains in stressed granular media?

Abstract

The determination of the normal and transverse (frictional) inter-particle forces within a granular medium is a long standing, taunting, and yet unresolved problem. We present a new formalism which employs the knowledge of the external forces and the orientations of contacts between particles (of any given sizes), to compute all the inter-particle forces. Having solved this problem we exemplify the efficacy of the formalism showing that the force chains in such systems are determined by an expansion in the eigenfunctions of a newly defined operator.

v2: Supplementary Material added with examples of the M,T and Q matrices v3&v4: Figures improved and minor modifications

References in corpus (1)

• The Jamming Transition in Granular Systems

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