Vlasov Beam-Based Soil-Tunnel Interaction Model for Rectangular Tunnel Considering Five Cross-sectional Deformations

Rectangular underground tunnels (RUT) subjected to complicated asymmetric loads inevitably suffer from uneven longitudinal settlement and cross-sectional torsion. The conventional models for soil-tunnel interaction only focus on the typical single circular tunnel and ignore the effect of torsional deformation and three-dimensional soil reactions. To mitigate this gap, the paper presents a soil-tunnel interaction model for RUT under longitudinal bending-shear-torsion mode. The RUT is regarded as a Vlasov thin-walled beam on Wrinkle foundation, and the soil-tunnel interaction is established considering the five cross-sectional deformation, including torsion, warping and distortion. Based on the new model, the deformation behaviors of RUT subjected to arbitrary loading can be solved through simple programming. Besides, the proposed method is verified by the FEM program.