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Computers and Concrete Volume 26, Number 6, December 2020 , pages 505-513 DOI: https://doi.org/10.12989/cac.2020.26.6.505 |
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Fractal equations to represent optimized grain size distributions used for concrete mix design |
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Soumia K. Sebsadji and Kaddour Chouicha
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| Abstract | ||
| Grading of aggregate influences significantly almost all of the concrete performances. The purpose of this paper is to propose practicable equations that express the optimized total aggregate gradation, by weight or by number of particles in a concrete mix. The principle is based on the fractal feature of the grading of combined aggregate in a solid skeleton of concrete. Therefore, equations are derived based on the so-called fractal dimension of the grain size distribution of aggregates. Obtained model was then applied in such a way a correlation between some properties of the dry concrete mix and the fractal dimension of the aggregate gradation has been built. This demonstrates that the parameter fractal dimension is an efficacious tool to establish a unified model to study the solid phase of concrete in order to design aggregate gradation to meet certain requirements or even to predict some characteristics of the dry concrete mixture. | ||
| Key Words | ||
| particle size distribution; grain number; fractal dimension; mathematical model; concrete mix design; optimization; concrete skeleton; coarse to fine aggregate ratio; fines content | ||
| Address | ||
| Soumia K. Sebsadji and Kaddour Chouicha: LMST Lab., Department of Civil Engineering, University of Sciences and Technology of Oran Mohamed Boudiaf (USTO MB), Oran, Algeria | ||