A triaxial creep model for deep coal considering temperature effect based on fractional derivative is proposed for the condition of triaxial stress state. In order to study the temperature effect on creep deformation of deep coal, the thermal damage variable is established based on the Weibull distribution and continuum damage mechanics theory. The thermal damage variable is assigned to the Hooke body and Abel dashpot in order to characterize the effect of temperature on elastic modulus and viscosity coefficient. The temperature-dependent mechanical elements are connected to the creep model, and a three-dimensional creep constitutive equation based on fractional derivative is established. A creep experimental study for deep coal under the constant axial pressure and unloading confining pressure at different temperatures is carried out to characterize the creep deformation of deep coal during mining. The experimental results show that the coal sample with higher temperature has greater axial deformation, but the radial deformation does not change monotonically with the change of temperature. Moreover, the proposed triaxial creep model is validated by experimental data and the nonlinear least square method is used to determine the model parameters. It is indicated that the triaxial creep model can better describe the time-dependent deformation under the effect of temperature, especially the accelerated creep stage of creep. In addition, the sensitivity analysis of key parameters of the proposed model, especially axial stress level and creep temperature, is carried out to further verify the accuracy of the triaxial creep model.

针对三轴应力状态，提出了一种基于分数阶导数的考虑温度影响的深部煤层三轴蠕变模型。为研究温度对深部煤体蠕变变形的影响，基于威布尔分布和连续介质损伤力学理论建立热损伤变量。将热损伤变量分配给胡克体和阿贝尔阻尼器，以表征温度对弹性模量和粘度系数的影响。将随温度变化的机械元件连接到蠕变模型，建立了基于分数阶导数的三维蠕变本构方程。为表征深部煤在开采过程中的蠕变变形，开展了不同温度下恒定轴压和卸围压下深部煤的蠕变实验研究。实验结果表明，温度较高的煤样轴向变形较大，但径向变形不随温度的变化而单调变化。此外，所提出的三轴蠕变模型通过实验数据进行了验证，并采用非线性最小二乘法确定模型参数。表明三轴蠕变模型可以更好地描述温度作用下的时变变形，尤其是蠕变加速蠕变阶段。此外，对所提出模型的关键参数进行敏感性分析，