To obtain the dynamic mechanical properties of frozen sandstone at different temperatures (i.e., 20°C, −10°C, −20°C, and −30°C), dynamic uniaxial compression tests of saturated sandstone are conducted using a split-Hopkinson pressure bar. The experimental results demonstrated that the brittleness of the saturated sandstone increased and its plasticity weakened with a decrease in temperature. The peak strength and dynamic elastic modulus of the sandstone were positively correlated with its strain rate. The peak stress was most sensitive to the strain rate at −10°C, and the elastic modulus was most sensitive to the strain rate at −30°C. According to the evident segmentation characteristics of the obtained stress-strain curve, a viscoelastic dynamic constitutive model considering the strain rate effect and temperature effect is developed; this model combines a nonlinear (or linear) body and a Maxwell body in parallel with a damage body. The applicability of the constitutive model is also verified using experimental data. The fitting results were demonstrated to be in good agreement with the experimental results. Furthermore, the fitting results serve as reference for the study of the constitutive model of weakly cemented soft rock and the construction of roadway freezing methods.

中文翻译：

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基于威布尔分布的冻结砂岩非线性动力本构模型

为了获得冷冻砂岩在不同温度（即20°C，-10°C，-20°C和-30°C）下的动态力学性能，使用Split-Hopkinson进行了饱和砂岩的动态单轴压缩试验。压力棒。实验结果表明，随着温度的降低，饱和砂岩的脆性增加，可塑性减弱。砂岩的峰值强度和动弹性模量与其应变率呈正相关。峰值应力对-10℃下的应变率最敏感，弹性模量对-30℃下的应变率最敏感。根据所得应力-应变曲线的明显分段特性，建立了考虑应变率效应和温度效应的粘弹性动力本构模型。该模型将非线性（或线性）物体和麦克斯韦物体与损伤物体并联在一起。本构模型的适用性还使用实验数据进行了验证。拟合结果表明与实验结果吻合良好。拟合结果可为弱胶结软岩本构模型的研究和巷道冻结方法的建立提供参考。