Publication detail

# Nearest Particle Distance and the Statistical Distribution of Agglomerates from a Model of a Finite Set of Particles

ŽÍDEK, J. KUČERA, J. JANČÁŘ, J.

Original Title

Nearest Particle Distance and the Statistical Distribution of Agglomerates from a Model of a Finite Set of Particles

English Title

Nearest Particle Distance and the Statistical Distribution of Agglomerates from a Model of a Finite Set of Particles

Type

journal article in Web of Science

Language

en

Original Abstract

The structural analysis of a particulate composite with randomly distributed hard spheres is presented based on a model proposed earlier. The structural factors considered include the distribution of interparticle distances and the conditions for particle agglomeration. The interparticle distance was characterized by the nearest particle distance (NPD) and the distance derived from Delaunay triangulation (DT). The distances were calculated for every particle in the particle set and analyzed in the form of a cumulative distribution function (CDF). The CDF provides two parameters: the representation of particles which are in very close proximity to their neighbors and the most frequent distance between particles. In the next step, the analysis of agglomerates was performed. The agglomerate was defined as a continuous unperturbed cluster of particles and interphase shells, which is divided from other clusters by a prescribed layer of matrix.The agglomerates were investigated from the point of view of their shape and size. Each set of agglomerates was analyzed by a histogram of agglomerate size and the average volume of agglomerates. Finally, the agglomerate percolation was investigated. The percolation threshold was characterized by the size of agglomerate which can be considered the largest but still isolated, and the probability of percolation.

English abstract

The structural analysis of a particulate composite with randomly distributed hard spheres is presented based on a model proposed earlier. The structural factors considered include the distribution of interparticle distances and the conditions for particle agglomeration. The interparticle distance was characterized by the nearest particle distance (NPD) and the distance derived from Delaunay triangulation (DT). The distances were calculated for every particle in the particle set and analyzed in the form of a cumulative distribution function (CDF). The CDF provides two parameters: the representation of particles which are in very close proximity to their neighbors and the most frequent distance between particles. In the next step, the analysis of agglomerates was performed. The agglomerate was defined as a continuous unperturbed cluster of particles and interphase shells, which is divided from other clusters by a prescribed layer of matrix.The agglomerates were investigated from the point of view of their shape and size. Each set of agglomerates was analyzed by a histogram of agglomerate size and the average volume of agglomerates. Finally, the agglomerate percolation was investigated. The percolation threshold was characterized by the size of agglomerate which can be considered the largest but still isolated, and the probability of percolation.

Keywords

Agglomeration; Composite; Effective volume; Monte Carlo; Particle distance; Percolation

RIV year

2011

Released

01.11.2011

Publisher

Tech Science press

ISBN

1546-2218

Periodical

CMC-Computers Materials & Continua

Year of study

24

Number

3

State

US

Pages from

183

Pages to

208

Pages count

25

Documents

BibTex

```
@article{BUT90282,
author="Jan {Žídek} and Jaroslav {Kučera} and Josef {Jančář}",
title="Nearest Particle Distance and the Statistical Distribution of Agglomerates from a Model of a Finite Set of Particles",
annote="The structural analysis of a particulate composite with randomly distributed hard spheres is presented based on a model proposed earlier. The structural factors considered include the distribution of interparticle distances and the conditions for particle agglomeration. The interparticle distance was characterized by the nearest particle distance (NPD) and the distance derived from Delaunay triangulation (DT). The distances were calculated for every particle in the particle set and analyzed in the form of a cumulative distribution function (CDF). The CDF provides two parameters: the representation of particles which are in very close proximity to their neighbors and the most frequent distance between particles.
In the next step, the analysis of agglomerates was performed. The agglomerate was defined as a continuous unperturbed cluster of particles and interphase shells, which is divided from other clusters by a prescribed layer of matrix.The agglomerates were investigated from the point of view of their shape and size. Each set of agglomerates was analyzed by a histogram of agglomerate size and the average volume of agglomerates.
Finally, the agglomerate percolation was investigated. The percolation threshold was characterized by the size of agglomerate which can be considered the largest but still isolated, and the probability of percolation.",
address="Tech Science press",
chapter="90282",
institution="Tech Science press",
number="3",
volume="24",
year="2011",
month="november",
pages="183--208",
publisher="Tech Science press",
type="journal article in Web of Science"
}
```