Abstract As an important supporting structure in underground engineering, the lining is continuously exposed to harsh environments, such as high temperature and shock. This study takes lining and soil as the thermoelastic mediums of the Lord–Shulman model to investigate the transient responses of a cylindrical lining in thermoelastic mediums under the action of ramp-type heating. By considering the effects of thermal contact resistance and thermal wave impedance of the lining–soil interface, a discontinuous interfacial model was built for the lining–soil interface by adopting a thermal contact resistance model and the reflection and transmission principles of thermal waves. Based on the Laplace transform and its inversion, the solution of the dynamic response of the lining–soil system under the action of ramp-type heating was then obtained. The influences of the thermal contact resistance, thermal wave impedance ratio, thermal conductivity ratio, and specific heat ratio on the temperature increment and displacement were also explored. The comparison of the calculated results with the existing ones verifies the correctness of the results in this study.

中文翻译：

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基于非连续界面模型的热弹性介质中圆柱衬里的瞬态响应

摘要 作为地下工程中重要的支护结构，衬砌持续暴露在高温、冲击等恶劣环境中。本研究将衬砌和土壤作为Lord-Shulman模型的热弹性介质，研究了斜式加热作用下圆柱形衬砌在热弹性介质中的瞬态响应。考虑衬砌-土界面的接触热阻和热波阻抗的影响，采用接触热阻模型，结合热波的反射和传输原理，建立衬砌-土界面的非连续界面模型。基于拉普拉斯变换及其反演，得到了斜坡式加热作用下衬砌-土系统动力响应的解。还探讨了接触热阻、热波阻抗比、导热系数和比热比对温度增量和位移的影响。计算结果与已有计算结果的对比验证了本研究结果的正确性。