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Granular element method (GEM): linking inter-particle forces with macroscopic loading

Andrade, José E. and Avila, Carlos F. (2012) Granular element method (GEM): linking inter-particle forces with macroscopic loading. Granular Matter, 14 (1). pp. 51-61. ISSN 1434-7636. doi:10.1007/s10035-011-0298-8.

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We present a new method capable of inferring, for the first time, inter-particle contact forces in irregularly-shaped natural granular materials (e.g., sands), using basic Newtonian mechanics and balance of linear momentum at the particle level. The method furnishes a relationship between inter-particle forces and corresponding average particle stresses, which can be inferred, for instance, from measurements of average particle strains emanating from advanced experimental techniques (e.g., 3D X-ray diffraction). Inter-particle forces are the missing link in understanding how forces are transmitted in complex granular structures and the key to developing physics-based constitutive models. We present two numerical examples to verify the method and showcase its promise.

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Additional Information: © 2011 Springer-Verlag. Received: 23 March 2011; Published online: 2 December 2011. Support for this work was partially provided by NSF Grant No. 1060087, AFOSR Grant No. FA9550-11-1-0052, and DOE Grant No. DE-FG02-08ER15980. This support is gratefully acknowledged.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-11-1-0052
Department of Energy (DOE)DE-FG02-08ER15980
Subject Keywords:Granular element method; Contact forces; Discrete mechanics; Multiscale modeling
Issue or Number:1
Record Number:CaltechAUTHORS:20120210-132453393
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:29240
Deposited By: Tony Diaz
Deposited On:13 Mar 2012 19:18
Last Modified:09 Nov 2021 17:05

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