Abstract
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.
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