Semi-analytical Solution of a Shallow Buried Lined Tunnel Under Full-Slip Contact Condition

This paper presents a semi-analytical method for the stress and displacement of a shallow buried lined tunnel based on the complex variable method under the full-slip contact condition, that is, along the interface between the surrounding rock/soil mass and lining, the radial stresses and radial displacements are continuous, and the shear stresses are equal to zero. In the presented solution, the interaction between the surrounding rock/soil mass and lining, as well as the self-weight of rock/soil mass are considered. The equations based on the boundary conditions and continuity conditions are put forward in this paper. A comparison of the stresses and displacements obtained by the analytical solution and ANSYS software shows a good agreement between the two solutions. In addition, the results also satisfied the stress boundary condition, stress continuity condition, and displacement continuity condition. A parametric study was conducted to investigate the influence of the key parameters on Young's modulus and buried depth. Finally, the results of two extreme boundary contact conditions cases, full-slip and no-slip contact conditions, were compared with each other to discuss the effect of the lining and the difference between the two boundary contact conditions.