Using a rock micro-unit strength,which satisfies the Weibull random distribution and is based on the Drucker-Prager failure criterion,a correction coefficient for damage variables is introduced,which reflects the full stress-strain process and residual strength of rock.The relationship between Weibull distribution parameters under different confining pressures is established using the stress and strain at peak points on the stress-strain curve.A damage softening constitutive model of rock is then established,accounting for the rock triaxial stress-strain test curve.The model has few parameters,and the way of determining the parameters indicates the physical meaning of the model parameters.Compared with previous studies,this model,after modification,has obvious advantages.The rationality of the model proposed here is demonstrated using comparative analysis between the theoretical and experimental results.