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| Nonlinear longitudinal deformation of underlying shield tunnels induced by foundation excavation |
| KANG Cheng1，YE Chao1，LIANG Rongzhu1，2，SUN Lianwei3，FANG Yuxiang1，WU Wenbing1，2 |
(1. Faculty of Engineering，China University of Geosciences(Wuhan)，Wuhan，Hubei 430074，China；2. College of Civil Engineering and Architecture，Guangxi University，Nanning，Guangxi 530004，China；3. Shanghai Construction Group Co.，Ltd.，
Shanghai 200080，China)
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Abstract Current simplified analytical methods for predicting shield tunnel longitudinal deformation due to excavation commonly adopt elastic foundation model to consider the ground-tunnel interaction and hence，fail to reflect the nonlinear deformation characteristics of subsoils. Introducing nonlinear Pasternak foundation model for considering the tunnel-soil nonlinear interaction，in this paper，a differential equation for shield tunnel longitudinal deformation owing to overlying excavation is derived. The differential equation is transferred into matrix-vector form according to the finite difference method，and then the numerical solution for shield tunnel longitudinal deformation induced by excavation is solved using the Newton¢s iteration method. The applicability and feasibility of the proposed method is verified by three-dimensional finite element simulations and two field cases. The results show that，when the longitudinal heave of shield tunnels induced by excavation is smaller，both the simplified analytical methods based on the Winkler and Pasternak elastic foundation models and the proposed method provide good predictions for shield tunnel longitudinal heave，while that，for a considerable large longitudinal heave of shield tunnel，the proposed method based on the nonlinear Pasternak foundation model always offers a more reliable prediction of the heave of shield tunnels but the simplified methods give a significant underestimation.
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2020, Vol. 39 
