基于粘性-滑移界面接触模型半空间隧道衬砌对平面P波的散射

基于粘性-滑移模型模拟隧道衬砌和围岩之间的接触状态，采用间接边界积分方程法求解弹性半空间中隧道衬砌对平面P波的散射，着重考察了地表位移放大和衬砌动应力集中效应。结果表明:接触滑移边界的刚度系数和粘度系数对隧道衬砌的动应力分布影响较大，滑移刚度较小时，共振频率段动应力集中效果更加显著；随着粘度系数的增大，衬砌内部环向应力幅值逐渐减小。另外，界面刚度系数和粘度系数对隧道衬砌动力反应的影响程度也受控于入射频率和角度。

Scattering of plane P waves by a lined tunnel in a half-space based on viscous-slip interface contact model

A viscous-slip interface model is proposed to simulate the contact condition between the tunnel lining and the surrounding rock. The indirect boundary integral equation method is adopted to solve the scattering of plane P waves by a lined tunnel in an elastic half-space, and the dynamic stress concentration of the lining and the amplification effect on the surface displacement near the tunnel are specially investigated. The results are as follows.The stiffness coefficient and viscosity coefficient of the contact viscous-slip boundary have a great influence on the dynamic stress distribution of the tunnel lining. When the sliding stiffness is small, the dynamic stress concentration effect in the range of resonant frequencies is more significant. With the increase of the viscosity coefficient, the internal hoop-stressamplitudegradually decreases. In addition, the influence of stiffness coefficient and viscosity coefficient on the dynamic response of tunnel lining also depends on the incident angle and frequency.