Journal article

Influence of polydispersity on micromechanics of granular materials

M Reza Shaebani, Mahyar Madadi, Stefan Luding, Dietrich E Wolf

PHYSICAL REVIEW E | AMER PHYSICAL SOC | Published : 2012

Abstract

We study the effect of polydispersity on the macroscopic physical properties of granular packings in two and three dimensions. A mean-field approach is developed to approximate the macroscale quantities as functions of the microscopic ones. We show that the trace of the fabric and stress tensors are proportional to the mean packing properties (e.g., packing fraction, average coordination number, and average normal force) and dimensionless correction factors, which depend only on the moments of the particle-size distribution. Similar results are obtained for the elements of the stiffness tensor of isotropic packings in the linear affine response regime. Our theoretical predictions are in good..

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University of Melbourne Researchers

Grants

Awarded by DFG


Funding Acknowledgements

We would like to thank T. Unger, L. Brendel, O. Duran, and M. Lebedev for useful discussions and suggestions. M.M. acknowledges financial support by the ANU Digital Core Consortium, and M.R.S. and D.E.W. by DFG Grant No. Wo577/8-1 within the priority program "Particles in Contact." S.L. acknowledges the support of this project by the Dutch Technology Foundation STW, which is the applied science division of NWO, and by the Stichting voor Fundamenteel Onderzoek der Materie (FOM), financially supported by the Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO).