Analytical Method for Predicting Shield Tunnel Deformation Induced by Tunnelling Considering Circumferential Joints

ABSTRACT This paper proposes a novel analytical method for predicting the deformation of existing tunnels, incorporating both the weakening effect of circumferential joints and the three‐dimensional under‐crossing effect of shield tunnelling. The model is established using the coordinate‐transformed Mindlin solution and the Loganathan solution to convert the forces generated during shield construction into additional stresses acting on the existing tunnel. Rotational and shear springs are introduced to simulate the mechanical behavior of the circumferential joints. The proposed method is validated through two engineering case studies and compared with conventional analytical methods, demonstrating high accuracy in predicting the longitudinal deformation response of existing tunnels under under‐crossing tunnelling. Furthermore, the study investigates the influence of key parameters—including friction force, grouting pressure, ground loss rate, intersection angle, and the rotational and shear stiffness of circumferential joints—on the deformation of both segmental rings and circumferential joints.