KSCE Journal of Civil Engineering

, 15:1219

The relationship between the fractal dimension and shape properties of particles

  • Seracettin Arasan
  • Suat Akbulut
  • A. Samet Hasiloglu
Geotechnical Engineering

DOI: 10.1007/s12205-011-1310-x

Cite this article as:
Arasan, S., Akbulut, S. & Hasiloglu, A.S. KSCE J Civ Eng (2011) 15: 1219. doi:10.1007/s12205-011-1310-x

Abstract

Due to their irregularity, the shape of particles is not accurately described by Euclidian geometry. However, fractal geometry uses the concept of fractal dimension, DR, as a way to describe the shape of particles. In this study, the fractal dimensions and shape properties of particles were determined using image analysis. Exponential relationships between the fractal dimension and roundness, sphericity, angularity, convexity were described. A set of empirical correlations were also presented which clearly demonstrated the link between fractal dimension and shape properties of particles. Additionally, a new classification chart proposed for use in describing and comparing particle shape and fractal dimension.

Keywords

fractal dimensionparticle shaperoundnessimage analysis

Copyright information

© Korean Society of Civil Engineers and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Seracettin Arasan
    • 1
  • Suat Akbulut
    • 1
  • A. Samet Hasiloglu
    • 2
  1. 1.Dept. of Civil EngineeringAtaturk UniversityErzurumTurkey
  2. 2.Dept. of Computer EngineeringAtaturk UniversityErzurumTurkey