Fundamental Theroy and Experimental Research

Grading scale method for coarse-grained soils based on fractal theory

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  • Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Yangtze River Scientific Research Institute, Wuhan, Hubei 430010, China

Received date: 2014-12-07

  Online published: 2018-06-09

Supported by

This work was supported by the National Natural Science Foundation of China (NSFC) (51379021), the Young Scholars of National Natural Science Foundation of China(51309024) and the Fundamental Research Funds for Yangtze River Scientific Research Institute(CKSF2014055/YT).

Abstract

Four grade-scaling methods including scalping method, equivalent substitution method, similar grading method and hybrid method are adopted to model the site gradation of soil materials according to the code. 15 test gradations of coarse-grained materials from an engineering site have been simulated by using these grading scale methods, and the corresponding maximum particle diameters are 60 mm, 40 mm, 20 mm. The maximum dry density tests have also been conducted on the samples with test gradations and prototype gradation. The relationships among fractal dimension, grading scale methods and maximum dry density have been discussed by introducing the fractal dimension of particle diameters. It is found that the fractal dimension is a comprehensive evaluation index which can accurately reflects the test gradations by different grading scale methods. In addition, the grading scale methods significantly influence the maximum dry density, and the maximum dry density value of samples by the similar gradation methods is closest to that of prototype gradation, and the biggest disparity exists between equivalent substitution gradation method and prototype gradation. There exists a better linear normalization relationship between the fractal dimensions and the maximum dry density. Based on the normalization law, the maximum dry density of sample with prototype gradation could be calculated accurately.

Cite this article

ZHAO Na, ZUO Yong-zhen, WANG Zhan-bin, YU Sheng-guan . Grading scale method for coarse-grained soils based on fractal theory[J]. Rock and Soil Mechanics, 2016 , 37(12) : 3513 -3519 . DOI: 10.16285/j.rsm.2016.12.021

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