应力波穿越分形节理时的透反射规律研究

 为探讨应力波穿越不规则节理时的透反射规律，先借鉴分形损伤理论，建立分形损伤本构关系；在此基础上，基于线性位移不连续体模型，引入分形损伤本构，推导应力波穿越非规则节理时透反射系数的解析解，给出透反射系数与分形维数间的理论表达式。通过激光表面仪对节理进行扫描试验，分析节理面的分形几何特征，采用SHPB节理岩石冲击动力学试验手段，探讨应力波穿越单一分形节理时的透反射规律，并将解析解与试验结果进行对比分析，研究结果显示，透反射系数的试验值与理论值之间误差较小，表明所建立的分形损伤本构关系与推导的应力波穿越分形节理的解析解是正确的。

STUDY ON RULES OF TRANSMISSION AND REFLECTION OF STRESS WAVE ACROSS FRACTAL JOINT

In order to investigate transmission and reflection rule of stress wave across irregular joints，firstly，the fractal damage constitutive relation is established by means of fractal damage theory，and then the analytical solutions of transmission and reflection coefficients of stress wave across irregular joints are derived by linear displacement discontinuity model and fractal damage constitutive. Fractal geometrical characters of joint surface are analyzed by scanning tests of joint surface in terms of laser profilometer. Transmission and reflection of stress wave through single fractal joint are researched by SHPB(split Hopkison pressure bar) impact dynamic test of jointed rock. Comparison of analytical solution with experimental results shows that the errors between experimental values and theoretical ones are smaller，which indicates that the proposed constitutive relation and analytical solutions of transmission and reflection coefficients of stress wave transmitting across fractal joints are correct.