Fractal characteristics and scaling effect of the scaling method for rockfill materials

ZHAO Ting-ting; ZHOU Wei; CHANG Xiao-lin; MA Gang; MA Xing

doi:10.16285/j.rsm.2015.04.026

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Fractal characteristics and scaling effect of the scaling method for rockfill materials

更新时间：2026-06-25

- Fractal characteristics and scaling effect of the scaling method for rockfill materials
- Vol. 36, Issue 4, Pages: 1093-1101(2015)
- 作者机构：
  
  1. 武汉大学水资源与水电工程科学国家重点实验室,湖北,武汉,430072
  2. 武汉大学水工岩石力学教育部重点实验室,湖北,武汉,430072
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2015.04.026
  CLC： TV311
- Online First：13 June 2018，
  
  Published：2015
- 稿件说明：
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ZHAO Ting-ting, ZHOU Wei, CHANG Xiao-lin, et al. Fractal characteristics and scaling effect of the scaling method for rockfill materials[J]. 2015, 36(4): 1093-1101.
DOI：

ZHAO Ting-ting, ZHOU Wei, CHANG Xiao-lin, et al. Fractal characteristics and scaling effect of the scaling method for rockfill materials[J]. 2015, 36(4): 1093-1101. DOI： 10.16285/j.rsm.2015.04.026.

摘要

采用6种不同缩尺方法将同一条现场级配曲线缩制成不同的数值模拟级配曲线，建立以不同粒径范围内颗粒数为测量数的分形模型，研究了颗粒级配分布的分形特性；基于颗粒流方法，生成与级配曲线相对应的6组数值试样进行双轴压缩试验，研究了缩尺方法对数值试样宏观力学特性及细观力学响应的影响；并讨论了颗粒级配分布的分形特性与数值试样力学特性之间的关系。结果表明：采用不同方法缩尺后数值试样的颗粒级配分布具有分形特性，分维数D为1.463～1.783；随着缩尺方法相似比尺M的增大，数值试样中细颗粒数量增多，粗细颗粒的充填关系得到改善，力学特性逐步提高；颗粒级配分布分维数D与数值试样力学特性指标之间存在较好的线性关系。

Abstract

Six scaling methods are adopted to create six grading curves for numerical simulation based on one in-situ grading curve. The rate of number of particles in an interval to total number of particles is regarded as the number of measuring fractal

and thus a fractal model is developed. Fractal characteristic of particle size distribution is analysed. Using the particle flow cod

six sets of numerical samples corresponding to six grading curves are generated and used to carry out biaxial compression tests. In this test

the effect of scale method on the macroscopic and mecroscopic mechanical properties of numerical samples is observed

and the relationship between the fractal feature of particle size distribution and the mechanical properties of numerical sample is determined. The results show that the particle size distribution of numerical samples has a fractal feature

its fractal dimension D is from 1.463 to 1.783. With the increase of similar scale M based on the different scale methods

fine particle number in numerical samples increases and the filling rate between coarse and fine particles becomes better reasonable. As a result

the mechanical property of numerical sample is gradually ameliorated. Fractal dimensions D of particle size distribution linearly agrees with the mechanical properties of numerical samples.

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