岩体动力失稳的功、能增量——突变理论研究方法  

RESEARCH APPROACH ON INCREMENT OF WORK AND ENERGY—— CATASTROPHE THEORY OF ROCK DYNAMIC DESTABILIZATION

作　　者：潘岳[1] 王志强[1] 

机构地区：[1]青岛建筑工程学院土木工程系,青岛266520

出　　处：《岩石力学与工程学报》2004年第9期1433-1438,共6页Chinese Journal of Rock Mechanics and Engineering

基　　金：山东省自然科学基金(Y2002-A03)资助项目。

摘　　要：说明岩体动力(破碎)失稳问题与弹性体几何形状失稳问题是自然界中本质不同的失稳现象,它们应对应突变理论中不同的突变模型。指出目前采用突变理论研究岩体动力失稳问题中存在的误区。对有平衡分枝点的弹性体系稳定问题,阐述了通过总势能函数途径求解的有关概念和要点。对属于无平衡分枝点的岩体动力失稳问题,可由能量守恒原理写出岩体系统失稳前、后阶段的功、能增量平衡关系式,功、能增量平衡关系式是总势能函数的微分形式,由该关系式可直接导出与岩体动力失稳问题对应的突变模型的平衡方程。该平衡方程及其图形平衡曲面所展示的全部性状可与失稳原型所有的主要性态达到一一相对应的程度。通过算例说明功、能增量平衡关系途径也适用于有平衡分枝点的弹性体系几何失稳问题的求解。The paper demonstrates that the rock dynamic destabilization and the destabilization of geometry form of the elastic body are two essentially distinctive phenomena,which correspond to different catastrophe models. The mistakes existing in the research of rock dynamic destabilization by using catastrophe theory are pointed out. For the stabilization of elastic body with equilibrium branch point,some concepts and main points in the solution of total potential energy function are expounded. For rock dynamic destabilization without equilibrium branch point,in which the system equilibrium relation can be expressed with quasi-static displacement on the stage before and after the period of rock system coming into destabilizing,the equilibrium relation of work and energy increment can be established according to energy conservation principle. The equilibrium relation of work and energy increment is different from that of potential energy function. The equilibrium equation of catastrophe model that corresponds to the destabilization question of rock system can be deduced by the equilibrium relation. All main characteristics,demonstrated by the equilibrium equation and the equilibrium curved surface,is of one-to-one correspondence to the primary characteristics of destabilized prototype.

关 键 词：岩石力学 岩体动力失稳 岩爆 突变理论 折突变模型 突变模型 

分 类 号：TU457[建筑科学—岩土工程]