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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。
In order to study the rock mass localization, based on the example of axial compression rod stability, based on Drucker-Prager (D-P) criterion, the universal expression based on bifurcation theory is deduced using mathematical and mechanical knowledge. On this basis, combined with the theory of finite difference, we get the condition of bifurcation in FLAC3D calculation. After that, with the help of FISH compiled language, establish the numerical analysis model in FLAC3D, and use DP constitutive relation, Studied the phenomenon of rock mass localization and its development process. The results show that the system of unbalance force ratio obtained at 20 000 steps in FLAC3D gradually becomes stable and the unbalanced force ratio gradually decreases, and the scale of localization gradually expands to stable and the definition increases gradually. It is confirmed that Bifurcation theory can effectively analyze and study the phenomenon of rock mass localization. The conditions and numerical verification of local bifurcation of rock mass are given, and the origin of common bifurcation decision conditions is expounded scientifically and rationally to provide theoretical support for explaining the mechanism and process of rock mass localization, Phenomenon research has played a certain role in promoting.