Abstract:The study of the thermal constitutive behavior of rock under temperature has guiding significances in rock engineering such as supporting of deep and soft rock roadway,disposal of nuclear waste underground,exploitation of geothermal resources and construction of military underground defensive facility. The differential thermo-visco-elastoplastic constitutive equation of rock which considers the influence of temperature on elasticity,viscosity and damage has been established based on the Nishihara rheological model by using thermal expanding coefficient,viscosity attenuation coefficient and damage variable. Creep equation and unloading equation of rock considering temperature effect have also been deduced. The results show that when stress is lower than yield stress,the model is in a fast deformation at beginning,then in a stable creep;and the unloading curve contains instantaneous elasticity,elastic aftereffect and viscosity flow induced by temperature. When stress is higher than yield stress,the model is in an unstable creep;and the unloading curve contains instantaneous elasticity,elastic aftereffect and the viscosity flow induced by the temperature and stress. This model reflects the visco-elastoplastic properties of rock,and can be used for analysis of rheology and stability of rock engineering.