Analytical solution for an arbitrary-shaped tunnel with full-slip contact lining in anisotropic rock mass

Under the full-slip contact assumption along rock-lining interface, the analytical solution for an arbitrary-shaped lined tunnel that is excavated in anisotropic rock mass and supported by an isotropic lining is presented. The equations and solutions of stresses and displacements in lining and surrounding rock mass are introduced based on the complex variable method. The analytical solutions are validated by the boundary condition checks and compared with the numerical simulation. The results are in very high precision. With the analytical algorithm, the effects caused by the angle of rock layers and the anisotropic elastic modulus are investigated. By comparing with another important contact assumption, pure-bond contact condition, the analytical solutions on excavation boundary and two lining boundaries are discussed.