含水炭质板岩非线性蠕变损伤模型及应用

对深埋隧道炭质板岩进行高围压不同含水状态三轴蠕变试验.蠕变过程中,随着加载应力水平提高及含水量的增加,炭质板岩产生衰减、稳态及加速蠕变3阶段.将Burgers模型串联一个由非线性黏壶η(n,t)与塑性体并联而成的非线性粘塑性元件,改进后的模型可描述加速蠕变曲线.由该模型建立本构方程,拟合分析不同含水状态炭质板岩的蠕变参数,结果显示粘滞系数ηM、瞬时变形模量EM、粘弹性变形模量EK、粘弹性粘滞系数ηK随含水率增加呈指数形式递减,但递减规律并不相同.引入含水损伤变量D(w),计算得到各蠕变参数指数型含水损伤演化方程,进而建立了考虑含水损伤的非线性蠕变模型,可充分反映不同含水状态对炭质板岩的蠕变损伤特性.建立数值模型,计算不同含水状态隧道围岩时效变形规律,结果显示初期支护体系于168 h左右闭合能有效限制围岩蠕变变形发展,二衬宜于初期支护闭合后360 h左右施作.

Nonlinear Creep Damage Model of Water Bearing Carbonaceous Slate and Its Application

Triaxial compression rheological experiments on carbonaceous slate specimens of deep buried tunnel were carried out on the rock rheology testing machine. Along with the increase of loading stress level and the improvement of moisture conditions, the initial attenuation creep phase, the stabilization creep phase, and the speedup creep phase were produced. By connecting Burgers model and the nonlinear viscoplastic body consisted of nonlinear viscous component rl（n,t） parallel connected with the plastic component in series, the improved model could describe the speedup creep phase. Using this model to fit and analyze the rheological parameters of different moisture conditions, it is shown that η M.EM.EK and r/K will decrease with negative exponential trend. Then water damage D（w） was introduced, and through deriving damage evolution equation, the nonlinear viscoelasticplastic model with water damage effect was established. Finally, the time effect deformation of surrounding rock under different times and different moisture conditions was studied by numerical simulation, and the results show that primary support should close in 168 h, and the best construction time for secondary lining is 360 h after the primary support is closed.