Abstract：Buried lined tunnels are often subject to internal dynamic loading, such as blast loading and impact loading. The dynamic stress concentration of lining structure due to various dynamic sources is a special concern in practical engineering. Based on Biot’s dynamic theory, the expressions of the displacements, stresses and pore pressures of saturated soil and those of the displacements and stresses of lining have been derived with the method of the wave function expansion and Laplace transform. Employing the complex variable functions and conformal mapping method, the arbitrary boundary is mapped circular boundary and the solution on dynamic response of lining with arbitrary shapes has been obtained based on the inner boundary condition of the lining and the continuity conditions between the soil and the lining. With the numerical integration of inverse Laplace transforms, the numerical solution on the dynamic response of an elliptic lining and a cylindrical one is presented respectively.
2011, Vol. 32 
