Visco-elastic imperfect bonding effect on dynamic response of a non-circular lined tunnel subjected to P and SV waves

•The dynamic stress around a non-circular tunnel with imperfect interface is studied.•A practical visco-elastic interface model is proposed to study the interface effect.•The analytical solutions of dynamic stress with imperfect interface are derived.•Some novel conclusions about the visco-elastic interface effect are given.

A visco-elastic interface model is proposed to investigate the dynamic stress around a non-circular lined tunnel subjected to P and SV waves, and the analytical solutions of displacements and stresses are obtained. The wave function expansion method combining with the conformal transformation method is applied to express the wave fields around the tunnel. To obtain the analytical solution, the non-circular tunnel is mapped into an annular region. A visco-elastic interface model with elastic and viscosity coefficients is introduced to analyze the interface effect. In numerical examples, the effects of stiffness parameter and viscosity coefficient of interface on the dynamic stress under different wave frequencies are discussed. Comparison with existing numerical results is given to validate this dynamic model.