Study of localization phenomena in rock mass based on bifurcation theory

QIANG Yue; ZHAO Ming-jie; LIN Jun-zhi; HE Jian

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Study of localization phenomena in rock mass based on bifurcation theory

更新时间：2026-06-25

- Study of localization phenomena in rock mass based on bifurcation theory
- Vol. 34, Issue 7, (2013)
- 作者机构：
  
  1. 重庆三峡学院土木工程学院,重庆,404100
  2. 重庆交通大学交通土建工程材料国家地方联合工程实验室,重庆,400074
  3. 重庆交通大学河海学院,重庆,400074
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU452
- Online First：15 July 2013，
  
  Published：2013
- 稿件说明：
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QIANG Yue, ZHAO Ming-jie, LIN Jun-zhi, et al. Study of localization phenomena in rock mass based on bifurcation theory[J]. 2013, 34(7).
DOI：

QIANG Yue, ZHAO Ming-jie, LIN Jun-zhi, et al. Study of localization phenomena in rock mass based on bifurcation theory[J]. 2013, 34(7). DOI：

摘要

为了研究岩体局部化现象，基于轴向压杆稳定实例，运用数理和力学知识，根据Drucker-Prager（简称D-P）准则，推导了基于分叉理论的通用表达式。在此基础上，结合有限差分理论得出FLAC3D计算中岩体内发生分叉的判定条件，之后在自带的FISH编译语言的辅助下，在FLAC3D中建立数值分析模型，采用D-P本构关系，研究了岩体局部化现象及其发展过程。研究结果表明：在FLAC3D中以20 000步为间隔所得的不平衡力比率模型系统逐渐趋于稳定，不平衡力比率逐渐降低，局部化现象的规模逐渐扩大至稳定，清晰度逐渐增加，证实了分叉理论能够有效地分析研究岩体局部化现象。给出的岩体局部分叉判定条件和数值验证，较为科学合理地阐述了常用分叉判定条件的由来，为解释岩体局部化现象的机制和过程提供了理论支撑，从而对岩体局部化现象研究起到了一定的推进作用。

Abstract

In order to study the rock localization phenomenon

based on the examples of the stability of axial pressure bar

applied the mathematical and mechanical knowledge

according to Drucker-Prager criterion

a universal formula can be derived based on the bifurcation theory. On this basis

combined with the finite difference theory

the judging criterion of bifurcation in rock mass in FLAC3D calculation can be worked out. Then under the assistant of own FISH compile language

using the Drucker-Prager criterion

a numerical analysis model is established in FLAC3D to study the rock localization phenomenon and its development process. The results show that in FLAC3D the imbalance force ratio model system came from the 20 000 steps interval gradually tends to be stable

the unbalanced force ratio gradually reduces; the localization phenomenon gradually expands the scale to its stability; and the clarity increases gradually

which confirms that the bifurcation theory can effectively analyze the rock localization phenomenon. The rock bifurcation criteria of rock localization phenomenon and numerical verification given by this paper more scientifically and reasonably expound the origin of the universal bifurcation condition

so as to provide the theoretical support for the explanation of the mechanism and process of the rock localization phenomenon to play a promoting role.

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