Abstract：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.
