Elastoplastic solution for excavation-induced disturbances in shallow-buried shield tunnels with support constraints

Abstract

An elastoplastic analytical solution is developed for excavation-induced disturbances in shallow-buried shield tunnels under the coupled constraints of segmental lining and synchronous grouting. A virtual columnar structure model is established, and an equivalent unloading ratio is formulated based on an excavation – grouting interface model. Based on static equilibrium, load transfer, and boundary conditions, analytical expressions are derived for the plastic zone radius and the elastoplastic stress and displacement fields in the initial geostatic stress field. The proposed solution is validated against classical analytical solutions and FEM results. Case analyses demonstrate that the constrained unloading ratio significantly affects the spatial distribution and evolution of excavation-induced stress and displacement fields. The proposed framework applies to different tunnel cross-sections and grouting conditions, providing a theoretical basis for evaluating construction-induced disturbances and engineering risks in shallow-buried shield tunnels.

Keywords

excavation disturbance / elastoplastic solution / stress and displacement fields / shallow-buried shield tunnel / virtual columnar structure model

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