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Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Sep;92(3):032201. doi: 10.1103/PhysRevE.92.032201. Epub 2015 Sep 2.

Radical tessellation of the packing of spheres with a log-normal size distribution.

Yi LY1, Dong KJ1,2, Zou RP1,3, Yu AB1,3.

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Laboratory for Simulation and Modeling of Particulate Systems, School of Materials Science and Engineering, University of New South Wales, Sydney, New South Wales 2052, Australia.
Institute for Infrastructure Engineering, University of Western Sydney, Penrith, New South Wales 2751, Australia.
Laboratory for Simulation and Modeling of Particulate Systems, Department of Chemical Engineering, Monash University, Clayton, Victoria 3800, Australia.


The packing of particles with a log-normal size distribution is studied by means of the discrete element method. The packing structures are analyzed in terms of the topological properties such as the number of faces per radical polyhedron and the number of edges per face, and the metric properties such as the perimeter and area per face and the perimeter, area, and volume per radical polyhedron, obtained from the radical tessellation. The effect of the geometric standard deviation in the log-normal distribution on these properties is quantified. It is shown that when the size distribution gets wider, the packing becomes denser; thus the radical tessellation of a particle has decreased topological and metric properties. The quantitative relationships obtained should be useful in the modeling and analysis of structural properties such as effective thermal conductivity and permeability.

[Indexed for MEDLINE]

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