A study of the statistical damage constitutive model of rock in high stress areas

In order to reflect the whole process of rock deformation and failure in high stress areas, the parabolic Mohr strength criterion is introduced. The micro-unit strength measurement method for rock mass in high stress areas is established, and it is assumed that the element strength obeys the power function probability density distribution. The continuum damage theory is combined and the correction of damage variable is considered. A new statistical damage constitutive model of rock in high stress areas is also established. The conventional triaxial compression test of dacite in high stress areas is conduced, and the method of determining the model parameters is given according to the characteristics of stress-strain curves of rock. A related statistical damage model based on the linear Mohr strength criterion for rock under a shallow low stress level is quoted, and the quoted model and the model built in this paper are used to verify the test data of the dacite, sandstone and granite in high stress areas in related literatures. The feasibility of the model is proved by comparing the test curves with the theoretical curves. The damage accumulation and energy dissipation of dacite in high stress areas are analyzed. The correctness of damage correction factor is proved from the energy point of view and the energy change law during rock deformation and failure is studied. The rationality of the model is reflected.