Analytical Solution of the Mechanical Response of a Shield Tunnel Crossing an Active Ground Fissure Zone
Publication: International Journal of Geomechanics
Volume 24, Issue 9
Abstract
Uneven settlement of the strata induced by ground fissure activity trigger great damage to a shield tunnel crossing a ground fissure zone. It is of great significance for the safe maintenance of tunnels to accurately predict the mechanical response of the tunnel structure under the dislocation of a ground fissure. In this paper, an analytical solution of mechanical behaviors of a shield tunnel crossing an active ground fissure zone is proposed. The shield tunnel-strata interaction in a ground fissure site is simplified as a Timoshenko beam placed on a Vlasov foundation. The governing differential equation and the closed-form solution for an equivalent shield tunnel subjected to additional load induced by the dislocation of ground fissure are derived. The proposed solution is adopted to analyze the mechanical behaviors of a shield tunnel, including tunnel displacement, rotation, bending moment, and shear force. The results of a model test and a numerical model are provided to verify the rationality of the proposed analytical solutions. Finally, a parameter sensitivity analysis about the additional load forms, the compression and shear modulus of the foundation, and the shear stiffness coefficients of the tunnel are conducted. The result shows that the form and value of the additional load has a large impact on the deformation and a slight impact on the internal forces of the tunnel. The foundation compression modulus determines the constraint effect of the strata, and the deformation and internal force response of a tunnel decrease with the increasing foundation shear modulus. In addition, the increase of shear coefficient enhances the shear stiffness of a tunnel, but largely increases the internal force as well.
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Data Availability Statement
The data used to support the findings of this study are available from the corresponding author upon request.
Acknowledgments
This work was supported by the National Natural Science Foundation of China (No. 41372328) and the Scientific Research Project of Xi’an Rail Transit Group Co., Ltd of China (No. D8-ZX-2018010).
Author contributions: Chenyang Miao—Data analysis, Method implementation, Simulation calculation, Writing-original draft. Qiangbing Huang—Conceptualization, Methodology, Supervision, Funding acquisition, Writing-review and editing; and Yun Zhang—Supervision, Writing-review and editing.
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Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 24 • Issue 9 • September 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Jul 8, 2023
Accepted: Mar 12, 2024
Published online: Jul 3, 2024
Published in print: Sep 1, 2024
Discussion open until: Dec 3, 2024
ASCE Technical Topics:
- Continuum mechanics
- Cracking
- Displacement (mechanics)
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Forces (type)
- Foundations
- Fracture mechanics
- Geotechnical engineering
- Material mechanics
- Material properties
- Materials engineering
- Mechanical properties
- Models (by type)
- Numerical models
- Shear forces
- Shear modulus
- Solid mechanics
- Structural mechanics
- Tunnels
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