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Analytical Solution of Ground Stress Induced by Shallow Tunneling with Arbitrary Distributed Loads on Ground Surface

1
Beijing Jiaotong University, Beijing 100044, China
2
Beijing Urban Engineering Design & Research Institute Co., Ltd., Beijing 100044, China
3
College of Civil and Transportation Engineering, Shenzhen University, Shenzhen 518060, China
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(6), 823; https://doi.org/10.3390/sym11060823
Received: 22 April 2019 / Revised: 5 June 2019 / Accepted: 13 June 2019 / Published: 21 June 2019
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Abstract

The impact of shallow tunnel construction on the surrounding environment is often considered as a symmetric half-plane problem with circular holes. In this research, the analytical solutions of the ground stresses and displacements of a shallow circular tunnel in an elastic half-plane under arbitrary distributed loads on ground surface were derived, based on the complex variable method. Then, an application was implemented to analyze the potential plastic zone induced by shallow tunneling adjacent to the ground surface structures. The verification of the results obtained from the proposed analytical prediction model was carried out using the numerical simulations. Additionally, the influences of different boundary condition (different magnitudes and ranges of arbitrary distributed loads and different symmetric boundary conditions of the tunnel perimeter) on the distribution characteristics of the potential plastic zones were analyzed. In general, the results showed that the larger the pile loads and the closer the relative position between the tunnel and distributed loads, the more distinct the coalesced trends of the potential plastic zones around the tunnel and the potential plastic zones around the distributed loads. View Full-Text
Keywords: shallow tunnel; complex variable method; ground surface loads; potential plastic zone shallow tunnel; complex variable method; ground surface loads; potential plastic zone
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Li, Z.; Wang, J.; Han, K. Analytical Solution of Ground Stress Induced by Shallow Tunneling with Arbitrary Distributed Loads on Ground Surface. Symmetry 2019, 11, 823.

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