Abstract
The excavation of non-circular tunnels at shallow depths is becoming increasingly common because of the need to efficiently utilize excavation spaces. However, the stress concentration is likely much greater around shallow tunnels than deep ones. This study provides an analytical solution of stresses around non-circular tunnels at shallow depths by combining the Schwartz alternating method with complex variable theory. The analytical solutions are verified by good agreement between the analytical and FEM numerical results. A parametric study is performed to investigate stress concentrations around elliptical and square tunnels and the effect of tunnels’ buried depth. The proposed analytical solutions provide great value to the conceptual understanding of the mechanical behaviour of non-circular tunnels, which are shallowly excavated in rock or medium to stiff clay, and to the verification of numerical models.
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Acknowledgements
This study was financially supported by the National Natural Science Foundation of China (Grant Nos. 11572228 & 51639008); and the Fundamental Research Funds for the Central Universities. Their support is greatly appreciated.
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Wang, H.N., Zeng, G.S., Jiang, M.J. (2018). Analytical Prediction of Stresses Around Non-circular Tunnels Excavated at Shallow Depth. In: Zhang, L., Goncalves da Silva, B., Zhao, C. (eds) Proceedings of GeoShanghai 2018 International Conference: Rock Mechanics and Rock Engineering. GSIC 2018. Springer, Singapore. https://doi.org/10.1007/978-981-13-0113-1_5
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DOI: https://doi.org/10.1007/978-981-13-0113-1_5
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