MATEC Web Conf.
Volume 307, 2020International Conference on Materials & Energy (ICOME’17 and ICOME’18)
|Number of page(s)||5|
|Published online||10 February 2020|
Fractal dimension of concrete mix gradation: a quantitative parameter for some concrete properties
LMST, Dept. of Civil Eng., USTO-MB University, BP 1505, El M’naouer, 31000 Oran, Algeria
* Corresponding author: firstname.lastname@example.org
This study is based upon the fractal feature of ideal Particle Size Distributions (PSD) suggested by numerous concrete mix designs, i.e. ideal PSD can be shown to be equivalent to a power law distributions EC(ϕi) ∝ ϕi− DF, EC(ϕi) is the number of grains of size greater than ϕi, and DF is a nonwhole number called fractal dimension. This fact allows us to analyze the solid skeleton of a concrete mix (all solid components of the mixture) as a fractal structure, thus to determine some of physical properties of the concrete mixture. For DF ranging from 2.5 to 3, and based upon many parameters of the concrete mix (as the granular range, the volumetric fraction of solids in the concrete mixture…), analytical formulas have been proposed relating DF and some properties of the concrete in the solid state. The required properties are the coarse-to-fine aggregate ratio, the fineness modulus of the sand fraction, the average grain size and volume of the fine fraction in the concrete mix. The focus of this research is to develop formulas by which concrete properties can be predicted knowing the concrete mix gradation, i.e. the mix design method used.
© The Authors, published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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