Quasi-universality in the packing of uniform spheres under gravity |
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| Authors: | X Z An K J Dong R Y Yang R P Zou C C Wang A B Yu |
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| Affiliation: | 1.Laboratory for Simulation and Modelling of Particulate Systems, School of Materials Science and Engineering,University of New South Wales,Sydney,Australia;2.School of Materials and Metallurgy,Northeastern University,Shenyang,People’s Republic of China;3.Laboratory for Simulation and Modelling of Particulate Systems, Department of Chemical Engineering,Monash University,Clayton,Australia;4.Institute for Infrastructure Engineering, Western Sydney University,Penrith,Australia |
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| Abstract: | A hypothesis that packing fraction alone can be used to characterize the structure of a sphere packing, known as the quasi-universality in the literature, is tested. The analysis, conducted in terms of coordination number, radial distribution function, and structural properties from the Voronoi/Delaunay tessellation, is based on the packing results generated under different conditions, covering a wide packing fraction range. The results show strong similarities in these properties for a given packing fraction, indicating that although not generally valid, the quasi-universality approximately holds for the packing of spheres formed when the gravity is the driving force. The usefulness of this finding is also demonstrated through representative examples. |
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