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Geomechanics and Engineering Volume 27, Number 4, November25 2021 , pages 323-331 DOI: https://doi.org/10.12989/gae.2021.27.4.323 |
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An optimized method based on fractal theory to calculate particle size distribution |
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Zhihong Zhang, Fan Yang and Yanyan Li
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| Abstract | ||
| Particle size distribution has a great influence on the physical properties of granular soils. As an important packing material for engineering, the particle size distribution of granular soils needs to be optimized to yield optimal physical and mechanical performance. There are unknown parameters in existing calculation methods for particle size distribution of granular soils. In order to calculate the optimal particle size distribution curve to reach the densest state under existing conditions without unknown parameters, an optimized method has been proposed based on fractal theory in which all parameters can be obtained by particle screening. With this method, particle size distributions of granular soils can be easily quantified. Compared with experimental data obtained by other researchers, the physical characteristics of soils with a better PSD are better, suggesting the superiority of the proposed method. The fractal dimension of good PSDs calculated in this study ranges from 2.21 to 2.63. Further, laboratory consolidation tests show that the deformation of the prepared specimens calculated by the new method is smaller than that of other specimens with different particle size distributions, which further validates the proposed method. | ||
| Key Words | ||
| compaction; granular soil; fractal theory; optimized method; particle size distribution | ||
| Address | ||
| Zhihong Zhang:Key Laboratory of Urban Security & Disaster Engineering, Ministry of Education, Beijing University of Technology, No. 100 Pingleyuan, Chaoyang District, Beijing, People | ||