On contact numbers in random rod packings |
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Authors: | A Wouterse S Luding A P Philipse |
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Affiliation: | (1) Van’t Hoff Laboratory for Physical and Colloid Chemistry, Utrecht University, Padualaan 8, 3584 CH Utrecht, The Netherlands;(2) Multi Scale Mechanics, Universiteit Twente, CTW, TS, P.O. Box 217, 7500 AE Enschede, The Netherlands |
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Abstract: | Random packings of non-spherical granular particles are simulated by combining mechanical contraction and molecular dynamics,
to determine contact numbers as a function of density. Particle shapes are varied from spheres to thin rods. The observed
contact numbers (and packing densities) agree well with experiments on granular packings. Contact numbers are also compared
to caging numbers calculated for sphero-cylinders with arbitrary aspect-ratio. The caging number for rods arrested by uncorrelated
point contacts asymptotes towards at high aspect ratio, strikingly close to the experimental contact number for thin rods. These and other findings confirm that thin-rod packings are dominated by local arrest in the form of truly
random neighbor cages. The ideal packing law derived for random rod–rod contacts, supplemented with a calculation for the
average contact number, explains both absolute value and aspect-ratio dependence of the packing density of randomly oriented
thin rods. |
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Keywords: | Random packings Rods Contact numbers Spherocylinders Computer simulations Molecular dynamics |
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