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  Dynamic analysis for a circular lined tunnel with an imperfectly bonded interface impacted by plane SH-waves

  The analytic solutions for the dynamic response of a circular lined tunnel with an imperfectly bonded interface subjected to plane SH-waves are presented in the paper. Wave function expansion method was used and the imperfect interface was modeled with a linear spring model. The case that the rock is harder than the liner and the case that the rock is softer than the liner were investigated. The results showed that the low frequency incident wave leads to the higher dynamic stress concentration factor (DSCF) than the high frequency incident wave. When the rock is harder than the liner, the variation of spring stiffness has more apparent effect on the DSCF in the rock for the high frequency incident wave than for the low frequency incident wave. The variations of DSCF in rock with different frequencies of incident wave and different spring stiffnesses were also discussed. When the bond is extremely weak, the resonance scattering phenomena can be observed.

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