Influence of the Fractal Dimension on the Mechanical Properties of Granular Materials

Bachir Melbouci; Saliha Yezli

doi:10.4028/www.scientific.net/KEM.550.99

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HomeKey Engineering MaterialsKey Engineering Materials Vol. 550Influence of the Fractal Dimension on the...

Influence of the Fractal Dimension on the Mechanical Properties of Granular Materials

Abstract:

To determine the size of a grain, we associated its form to that of a equivalent sphere. The grains size is then measured by an equivalent diameter, which is not enough to describe the behavior materials with irregular grains shape. To understand these effects, a new technique was developed by Mandelbrot (1979) which is based on the fractal geometry. To clarify this notion, the grains shape is characterized using the fractal dimension (Df), which is a number measuring the degree of irregularity or the fragmentation of a grain. Mechanical tests were performed. The fractal dimension was calculated for different grains constituting the samples before and after each test while studying its evolution after crushing. The results confirm that the fractal dimension affects the measurement of mechanical properties of the granular materials.

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Periodical:

Key Engineering Materials (Volume 550)

Pages:

99-106

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.550.99

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Online since:

April 2013

Authors:

Bachir Melbouci, Saliha Yezli

Keywords:

Crushing, Fractal Dimension, Grading Curves, Grain’s State, Shear Test

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