Dynamic response of a non-circular shallow tunnel with visco-elastic slip interface

The effect of visco-elastic slip interface on the dynamic response of a shallow tunnel is investigated. The model with elastic, viscosity and slip coefficients is adopted to analyze the effect of the imperfect interface between the tunnel lining and the surrounding rock mass. In order to satisfy the traction free boundary condition, the half-plane above the shallow tunnel is simplified to an arc with large radius. The tunnel is mapped into an annular region to derive the dynamic response of the non-circular lined shallow tunnel with imperfect interface. The expanded coefficients of the complex function are determined based on the imperfect boundary condition and the traction free boundary condition of the half-plane. The effects of stiffness parameter, viscosity and slip coefficients on the responses of tunnel under different depths and different wave frequencies are studied.