Abstract:In deep environment, rock damage and creep deformation will occur under three-dimensional stress for a long time. In order to reasonably characterize the creep deformation process of rock, a fractional derivative modeling method is adopted to improve the Newton clay pot into a fractional clay pot. At the same time, considering the damage evolution state of rock during the long aging process, exponential damage variables are introduced into the physical parameters. A fractional-order creep constitutive model is established and extended to three-dimensional form. Finally, the validity is verified by using the experimental data of sandstone. The results show that the creep experiment of sandstone has obvious three-stage creep deformation characteristics, and the established fractional-order creep model considering damage process has fewer physical parameters, which can well describe the creep deformation process of rock in deep three-dimensional stress environment, and verify the validity of the model.
