Based on the damage characteristics of multistage shear creep in weak intercalated layers (carbonaceous mud shale) of slopes under the influence of dynamic disturbance, the effective bearing area method was used. A new coupled damage equation (dynamic disturbance damage, shear creep damage, and initial damage) was established through further derivation, and its applicability was demonstrated. The calculation method for the relevant coupled damage degrees was also provided. Furthermore, by targeting the three coupled damage factors and extending the Kachanov damage law, a time-dependent damage evolution equation for weak intercalated layers under the influence of the three coupled damage effects was established. The influence of different dynamic disturbance intensities on the evolution of multistage shear creep damage in weak intercalated layers of slopes under the influence of coupled damage effects was analysed. The results show that the damage to the rock mass caused by dynamic disturbance mainly occurs in the low-frequency stage (40–80 Hz). The instantaneous damage caused by dynamic disturbance to the shear plane of weak intercalated layers is not only affected by the intensity of the dynamic disturbance but also limited by the magnitude of the shear creep load. The influence of the dynamic disturbance intensity on the entire process of multistage shear creep damage of weak intercalated layers was analysed. With increasing of dynamic disturbance intensity, the cumulative coupled damage at the end of shear creep at all levels gradually exhibits linear evolution. The time-dependent coupling damage evolution process of weak intercalated layers was quantitatively characterized.

中文翻译：

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耦合损伤效应影响下边坡软弱夹层动态扰动及多阶段剪切蠕变损伤演化规律分析


针对动力扰动影响下边坡软弱夹层（碳质泥页岩）多阶段剪切蠕变的破坏特征，采用有效承载面积法。通过进一步推导，建立了新的耦合损伤方程（动力扰动损伤、剪切蠕变损伤和初始损伤），并论证了其适用性。还给出了相关耦合损伤程度的计算方法。进一步，针对三种耦合损伤因子，扩展卡恰诺夫损伤定律，建立了三种耦合损伤效应影响下的软弱夹层随时间损伤演化方程。分析了耦合损伤效应下不同动力扰动强度对软弱夹层边坡多阶段剪切蠕变损伤演化的影响。结果表明，动力扰动对岩体的损伤主要发生在低频阶段（40~80 Hz）。动力扰动对软弱夹层剪切面造成的瞬时损伤不仅受动力扰动强度的影响，而且还受到剪切蠕变载荷大小的限制。分析了动力扰动强度对软弱夹层多阶段剪切蠕变损伤全过程的影响。随着动力扰动强度的增加，各级剪切蠕变结束时的累积耦合损伤逐渐呈现线性演化。定量表征了弱夹层随时间变化的耦合损伤演化过程。