Research on strength of fractal structural soil

WEI Zhen-hai; WANG Meng-shu; ZHANG Ding-li

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Research on strength of fractal structural soil

更新时间：2026-06-25

- Research on strength of fractal structural soil
- Vol. 33, Issue 3, (2012)
- 作者机构：
  
  1. 北京交通大学土木建筑工程学院,北京,100044
  2. 后勤指挥学院后方专业勤务系,北京,100858
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU443
- Online First：12 March 2012，
  
  Published：2012
- 稿件说明：
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WEI Zhen-hai, WANG Meng-shu, ZHANG Ding-li. Research on strength of fractal structural soil[J]. 2012, 33(3).
DOI：

WEI Zhen-hai, WANG Meng-shu, ZHANG Ding-li. Research on strength of fractal structural soil[J]. 2012, 33(3). DOI：

摘要

分形结构是土体中普遍存在的一种现象，通过对分形结构连接部位所占据的影响域（Voronoi域）的分析，将颗粒连接承载能力换算为影响域上的应力强度，由此获得了一些有益的结果。土体颗粒系统结构分维值的大小对土体强度有着明显的影响；基本结构单元的颗粒数越多，形成的环的长度越长，占据的空间就越大，从力学上讲就越不稳定，因此，其强度越低；土体中分形结构的级数实际上决定了土体中最大孔隙的尺寸，分形结构的级数越多，其相应的最大孔隙越大，等效应力强度会越低；发现偶应力强度与基本结构单元的面积（二维）成反比，即基本结构体越大，偶应力强度就越小，由此可推论出：在其他条件相同的情况下，颗粒越大，偶应力强度就会越低。

Abstract

The fractal structure is a common phenomenon of soil. Through analyzing influence domain(Voronoi domain) of the fractal structure connection point

the bearing capacity of particle connection is converted to stress intensity. Some beneficial results are obtained. Values of fractal dimension of particle system structure influence soil strength obviously. The particle of basic unit is more

the ring from the particle is longer

the space for the ring is larger; it is more instable in mechanical property

the strength is lower. The stage number of fractal structure determines the size of the maximum pore. The stage number of fractal structure is more

the size of the maximum pore is larger

the equivalent stress intensity is lower. The couple stress intensity is inversely proportional to the area of basic structure unit (two-dimensional). That is to say

the basic structure unit is larger

the couple stress intensity is lower. Therefore

it can be concluded that the particle is larger

the couple stress intensity is lower when other conditions are same.

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