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Advances in Materials Science and Engineering
Volume 2015 (2015), Article ID 537692, 10 pages
http://dx.doi.org/10.1155/2015/537692
Research Article

Fractal and Morphological Characteristics of Single Marble Particle Crushing in Uniaxial Compression Tests

1Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
2Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200240, China

Received 12 September 2015; Revised 24 November 2015; Accepted 25 November 2015

Academic Editor: Pavel Lejcek

Copyright © 2015 Yidong Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Crushing of rock particles is a phenomenon commonly encountered in geotechnical engineering practice. It is however difficult to study the crushing of rock particles using classical theory because the physical structure of the particles is complex and irregular. This paper aims at evaluating fractal and morphological characteristics of single rock particle. A large number of particle crushing tests are conducted on single rock particle. The force-displacement curves and the particle size distributions (PSD) of crushed particles are analysed based on particle crushing tests. Particle shape plays an important role in both the micro- and macroscale responses of a granular assembly. The PSD of an assortment of rocks are analysed by fractal methods, and the fractal dimension is obtained. A theoretical formula for particle crushing strength is derived, utilising the fractal model, and a simple method is proposed for predicting the probability of particle survival based on the Weibull statistics. Based on a few physical assumptions, simple equations are derived for determining particle crushing energy. The results of applying these equations are tested against the actual experimental data and prove to be very consistent. Fractal theory is therefore applicable for analysis of particle crushing.