Complex Variable Function Solution of Stress and Displacement of Surrounding Rock Buried Deep Horseshoe-Shaped Tunnel Excavation |
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| Authors: | Shi Youzhi and Gao Xuanneng |
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| Affiliation: | School of Civil Engineering and Architecture, Xiamen University of Technology, Xiamen 361021, Fujian, China;;School of Civil Engineering, Huaqiao University, Quanzhou 362021, Fujian, China |
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| Abstract: | An analytical solution was presented for the stresses and displacements around horseshoe-shaped tunnel using Cauchy integral method and Optimization theory in an elastic half-plane. Since the depth of a tunnel was larger than the size of the tunnel, gravity loads were simplified as uniform normal loads along far-field boundary. Finite element model was used to verify the accuracy of analytical solutions. Comparison between the results of numerical analysis by finite element method and those from the closed solutions indicates that the closed solution is reliable and applicable for the stress and displacement field around horseshoe-shaped tunnel tunnels at great depth. |
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| Keywords: | complex variable function method Cauchy integral method optimization theory tunnels analytical solutions |
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