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为了解决传统蠕变模型无法反映加速蠕变阶段的问题,引进了Kachnov损伤理论,在Burgers模型上串联一个弹塑性损伤体.推导出了等围压三轴实验条件下轴向蠕变表达式,并用非线性拟合的方法来识别模型参数.经证明:在该损伤模型中,当岩石所受应力大于屈服强度时,将触发损伤体进入加速蠕变阶段,而岩石的全程蠕变规律可以通过线性与非线性蠕变叠加来进行描述.通过红砂岩蠕变实测曲线与理论曲线对比分析证实了该模型的合理性.此外,本文还推导出Burgers三维损伤蠕变模型在复杂应力条件下的本构方程,并通过拉普拉斯变换得到圆形巷道围岩变形规律的解析解.“,”In order to solve the problem that traditional creep models cannot reflect the stage of accelerated creep,the Kachnovdamage theory was introduced, and the Burgers model was connected in series with a plastic damage cell. The expressions of the axial creep were derived under uniform confining pressure in three-axial experimental condition, and the parameters of the model were identified by the nonlinear fitting method. The results show that the damagedbody enters the accelerated creep stagewhen the stress is larger than the yield strengthin the damage model, and the creep law of rock can be described bymeans of linear and nonlinear creep superposition. The rationality of the model is verified by the comparison between the measured curve of red sandstone creepand the theoretical curve. In addition, the constitutive equations of Burgers damage model are derived under complex stress conditions, and the analytical solution of the deformation of the circularroadway is obtained by Laplace transform.