基于分叉理论的岩体局部化现象研究

›› 2013, Vol. 34 ›› Issue (7): 2099-2103.

基于分叉理论的岩体局部化现象研究

强跃^{1, 2, 3}，赵明阶³，林军志³，何建¹

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

收稿日期:2012-06-16 出版日期:2013-07-10 发布日期:2013-07-15
作者简介:强跃，男，1981年生，博士研究生，讲师，从事岩土工程研究。
基金资助:
国家自然基金面上项目(No. 51279219)；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开放基金项目(No. LHSYS,2012-001)；重庆市城乡建设委员会项目（城科字2011第2-89号）；三峡库区库岸地质灾害预防与科研创新团队科研项目；重庆市教委科学技术研究项目(No. KJ131107)。

Study of localization phenomena in rock mass based on bifurcation theory

QIANG Yue^{1, 2, 3}，ZHAO Ming-jie³，LIN Jun-zhi³，HE Jian¹

1. College of Civil Engineering, Chongqing Three Gorges University, Chongqing 404100, China; 2. National and Local Joint Engineering Laboratory of Transportation and Civil Engineering Materials, Chongqing Jiaotong University, Chongqing 400074, China; 3. School of River and Ocean Engineering, Chongqing Jiaotong University, Chongqing 400074, China

Received:2012-06-16 Online:2013-07-10 Published:2013-07-15

摘要/Abstract

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。

关键词: 分叉理论, 岩体局部化现象, FISH语言

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.

Key words: bifurcation theory, localization phenomena, FISH language

中图分类号:

TU 452

强跃，赵明阶，林军志，何建 . 基于分叉理论的岩体局部化现象研究[J]. , 2013, 34(7): 2099-2103.

QIANG Yue ，ZHAO Ming-jie ，LIN Jun-zhi ，HE Jian . Study of localization phenomena in rock mass based on bifurcation theory[J]. , 2013, 34(7): 2099-2103.

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