Creep mechanical model of rock considering temperature effect.

The temperature has an essential influence on the mechanical properties of rock. The present paper proposes a novel creep model of rock, considering the temperature. The model explicated consists of three units: an improved Kelvin unit, an improved Maxwell unit, and an improved ideal viscoplastic unit. Based on the new model, the visco-elastic-plastic constitutive equation of rock with temperature effects is derived. When the temperature change is constant and the stress is stable, the creep equation of the system can be explicitly derived. By solving the equation with constant coefficients, the expression of rock strain is obtained. From the rock strain expression, it is demonstrated that the strain of rock is composed of a function of time and an exponential function.