Abstract:Based on quasi-static assumption,an analytical procedure is presented for evaluating the dynamic stresses in linings of shield tunnels under no slip and full slip contacting condition between structure and surrounding soil when the shear strain of free-field arrives at the maximum value during earthquake. Using force and displacement continuous conditions between structure and surrounding soil,the complex variable function and conformal transformation of plane elastic theory are used to derive the analytical solution. According to comparison,the analytical solution matches the numerical solution well. It is a simple,convenient and practical calculation method.