岩体失稳前兆阶段准静态形变平衡方程和加载参数——能量输入率

QUASI-STATIC DEFORMATION EQUILIBRIUM EQUATION AND LOAD PARAMETER IN PREMONITORY PHASE OF ROCK DESTABILIZATION—ENERGY IMPORTING RATE

由能量守恒原理导得的岩体失稳前兆阶段准静态形变平衡方程中包括Ι体的弹性能释放率、II体的能量耗散率和环境对系统的能量输入率(或广义地称为“环境与岩体系统能量交换率”),包涵了岩体系统准静态形变过程的完整信息量。阐述了用能量输入率J呈递减或递增趋势,来判别系统稳定性与用Dirichlet势函数2阶导数正负法则判别系统稳定性的结果完全一致;J>0是环境对系统输入能量;J<0是系统对环境输出能量;J=0是岩体系统动力失稳的临界条件,可用于确定岩体系统失稳起始点和终止点;这些可为准确计算地震、岩爆时释放的地震能等问题提供科学依据。首次从仿照弹性稳定理论得到的系统总势能全量函数形式,正确导得岩体系统准静态形变的平衡方程。

Rock＇s quasi-static deformation equilibrium equation in premonitory phase of rock destabilization, which is induced by the energy conservation principle, includes body I＇s elastic energy releasing rate, body II＇s energy dissipation rate and energy importing rate （or generally titled “energy exchanging rate of surroundings and rock ” ）which is surroundings acting on the system; and full information of rock＇s quasi-static deformation course is covered. Analysis and illustration show it is consistent in discriminating the system stability by energy importing rate J- presenting the descending or increasing tendency, and by Dirichlet discrimination law. Outside or surroundings imports energy into rock system when J 〉0; and the system exports energy to outside or surroundings when J〈0 ： J = 0 is the dynamic destabilization critical condition of rock, and which can be applied to determine the starting point and ending point of rock destabilization. They can offer scientific basis for calculating releasing energy of earthquake when earthquake or rockburst happens. The quasi-static strain equilibrium equation of rock system is deduced correctly for the first time from whole amount form of total potential energy obtained by imitating elastic stabilization theory.