Development of a Two-Dimensional Fractal Model for Analyzing the Particle Size Distribution of Geomaterials
Publication: Journal of Materials in Civil Engineering
Volume 30, Issue 8
Abstract
On the basis of the one-dimensional fractal model, a two-dimensional fractal model is developed to investigate the particle size distribution (PSD) of heterogeneous geomaterials. Based on the simulation results for PSD curves of geomaterials, it is proved that the two-dimensional fractal model is superior to the one-dimensional fractal model. The PSD analyses indicate that two major mechanisms may govern the formation of the geomaterials and these characteristics can be captured by the two-dimensional fractal model. In this respect, the two-dimensional fractal model is better than the three-dimensional model. The two-dimensional fractal model is further adopted to investigate the relationship between the mechanical properties and PSD of geomaterials.
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Acknowledgments
The authors appreciate the financial support provided by the National Natural Science Foundation of China (NSFC) (Nos. 51578230 and 51608188) and the Key Research Plan of Hunan Province (No. 2016WK2005) for this work.
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©2018 American Society of Civil Engineers.
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Received: Oct 6, 2017
Accepted: Feb 6, 2018
Published online: May 29, 2018
Published in print: Aug 1, 2018
Discussion open until: Oct 29, 2018
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