通过建立一个基于非平衡态热力学的岩石黏-弹-塑性本构模型,用以分析岩石的蠕变变形和蠕变失稳问题.该模型不同于经典弹-塑性模型,从可逆、不可逆能量过程及能量的涨落出发,推导得到了可统一描述岩石黏-弹-塑性行为的本构关系,无需屈服面、流动法则等概念.它通过将应力划分为弹性应力和黏滞应力来描述岩石的黏-弹性行为,而通过耗散流和涨落运动的概念来描述岩石的黏-塑性行为.分析表明,该模型可以反映岩石在高围压下延性破坏、在低围压下脆性破坏的特征,同时也可较好地预测岩石的蠕变变形和蠕变失稳规律,并可较好地阐述其中的物理机制. By establishing a visco-elastic-plastic constitutive model of rock based on non-equilibrium thermodynamics, the rock creep deformation and creep instability problems are analyzed. The model is different from the classical elastic-plastic model. From the reversible and irreversible energy process And the energy fluctuation, derived the constitutive relation that can describe the visco-elastic-plastic behavior of rock uniformly without the conceptions of yield surface and flow law etc. It divides the stress into elastic stress and viscous stress to describe the rock’s The visco-plastic behavior of rock is described by the concepts of dissipative flow and fluctuation motion. The analysis shows that the model can reflect the rock ductile failure under high confining pressure and the brittle failure under low confining pressure , But also predict the creep deformation and creep instability of rock well and explain the physical mechanism well.