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

L.Y. Yi, K.J. Dong, R.P. Zou, A.B. Yu

Research output: Contribution to journalArticleResearchpeer-review

Abstract

The packing of particles with a log-normal size distribution is studied by means of the discrete elementmethod. 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.
Original languageEnglish
Pages (from-to)1 - 12
Number of pages12
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume92
Issue number3
DOIs
Publication statusPublished - 2015

Cite this

@article{a0edef6821dc4cf685b5eea9eded7ec0,
title = "Radical tessellation of the packing of spheres with a log-normal size distribution",
abstract = "The packing of particles with a log-normal size distribution is studied by means of the discrete elementmethod. 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.",
author = "L.Y. Yi and K.J. Dong and R.P. Zou and A.B. Yu",
year = "2015",
doi = "10.1103/PhysRevE.92.032201",
language = "English",
volume = "92",
pages = "1 -- 12",
journal = "Physical Review E - Covering Statistical, Nonlinear, Biological, and Soft Matter Physics",
issn = "2470-0045",
publisher = "American Physical Society",
number = "3",

}

Radical tessellation of the packing of spheres with a log-normal size distribution. / Yi, L.Y. ; Dong, K.J.; Zou, R.P.; Yu, A.B.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 92, No. 3, 2015, p. 1 - 12.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Radical tessellation of the packing of spheres with a log-normal size distribution

AU - Yi, L.Y.

AU - Dong, K.J.

AU - Zou, R.P.

AU - Yu, A.B.

PY - 2015

Y1 - 2015

N2 - The packing of particles with a log-normal size distribution is studied by means of the discrete elementmethod. 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.

AB - The packing of particles with a log-normal size distribution is studied by means of the discrete elementmethod. 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.

UR - http://journals.aps.org/pre/pdf/10.1103/PhysRevE.92.032201

U2 - 10.1103/PhysRevE.92.032201

DO - 10.1103/PhysRevE.92.032201

M3 - Article

VL - 92

SP - 1

EP - 12

JO - Physical Review E - Covering Statistical, Nonlinear, Biological, and Soft Matter Physics

JF - Physical Review E - Covering Statistical, Nonlinear, Biological, and Soft Matter Physics

SN - 2470-0045

IS - 3

ER -