The deformation rules and failure types of rock fatigue damage at different temperatures are quite different, and existing constitutive theory cannot describe them quantitatively. A novel rock fatigue damage model considering the effects of temperature was presented based on phenomenology. In this model, the residual strain method was used to define the fatigue damage, and the Harris attenuation function was introduced to characterize the cyclic damage evolution. The proposed model has considered the influence of the initial damage and temperature, and the model parameters can be easily calculated. The accuracy of the model was verified by comparing the calculated values of cyclic upper strain and fatigue life with previous test results. The physical significance of the model parameters shows that parameter a is related to fatigue stress ratio and lithology, while parameter b is related to temperature. The study has some reference values for the fatigue damage model of rock considering the influence of temperature.

中文翻译：

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考虑温度影响的新型岩石疲劳损伤模型

不同温度下岩石疲劳损伤的变形规律和破坏类型差异很大，现有的本构理论不能对其进行定量描述。基于现象学，提出了一种考虑温度影响的新型岩石疲劳损伤模型。在该模型中，使用残余应变方法来定义疲劳损伤，并引入哈里斯衰减函数来表征周期性损伤的演变。所提出的模型考虑了初始损伤和温度的影响，并且可以容易地计算模型参数。通过将循环上限应变和疲劳寿命的计算值与先前的测试结果进行比较，验证了模型的准确性。模型参数的物理意义表明参数a与疲劳应力比和岩性有关，而参数b与温度有关。该研究对于考虑温度影响的岩石疲劳损伤模型具有参考价值。