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

ABSTRACT 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.