SPATIAL STATISTICS FOR SIMULATED PACKINGS OF SPHERES

Alexander Bezrukov, Dietrich Stoyan, Monika Bargieł

Abstract

This paper reports on spatial-statistical analyses for simulated random packings of spheres with random diameters. The simulation methods are the force-biased algorithm and the Jodrey-Tory sedimentation algorithm. The sphere diameters are taken as constant or following a bimodal or lognormal distribution. Standard characteristics of spatial statistics are used to describe these packings statistically, namely volume fraction, pair correlation function of the system of sphere centres and spherical contact distribution function of the set-theoretic union of all spheres. Furthermore, the coordination numbers are analysed.

Keywords
contact distribution; coordination number; pair correlation function; simulation; sphere packing; volume fraction

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DOI: 10.5566/ias.v20.p203-206

Image Analysis & Stereology
EISSN 1854-5165 (Electronic version)
ISSN 1580-3139 (Printed version)