Theoretical study of the dynamic response of a circular lined tunnel with an imperfect interface subjected to incident SV-waves

Abstract Theoretical analysis is used to predict the dynamic response of a circular lined tunnel with an imperfect interface to plane SV-waves. The linear spring model is introduced to depict the imperfect interface between the rock mass and the lining. The expressions for the stress and displacement of the rock mass and the lining are then derived based on the wave function expansion method and the linear spring model. The dynamic stress concentration factor (DSCF) of the rock mass and lining is systematically discussed in two cases by studying its basic parameters, including the dimensionless wavenumber, the interface spring constants, and the lining thickness. The results show that the imperfect interface has a prominent effect on dynamic stress concentration. The maximum values of DSCF generated by SV-waves in the rock mass and the lining are larger than those generated by the P-waves. Additionally, the thick lining structure and tight adhesion of the lining to the rock mass are conducive to tunnel structure stability. It is suggested that the support should be strengthened at the position of the dynamic stress concentration, and the lining and the rock mass should be combined as closely as possible during the construction process.

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