Imperfect bonding effect on dynamic response of a non-circular lined tunnel subjected to shear waves

• A practical model of non-circular tunnel with imperfect interface is proposed.
• The analytical solution of this model subjected to anti-plane shear waves is derived.
• The imperfect interface effect on the distribution of tangential stresses is graphically illustrated.
• Some methods improving the dynamic strength of non-circular tunnel are found.

Combining the wave function expansion method and conformal transformation method, the dynamic stress around a non-circular tunnel with imperfect interface subjected to anti-plane shear waves is derived. The non-circular tunnel is mapped into an annular region, and the analytic solutions of stress and displacement solutions are expanded in terms of wave functions. By introducing the spring-type interface model, the coefficients are determined by satisfying the imperfect bonding conditions around the concrete lining. The distribution of tangential stresses on the imperfect interface is graphically illustrated, and the interacting effect of imperfect interface and incident wavelength is discussed in detail. The imperfect interface is revealed as a key factor dominating the seismic responses of a tunnel.