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Complex Variable Function Solution of Stress and Displacement of Surrounding Rock Buried Deep Horseshoe-Shaped Tunnel Excavation
Authors:Shi Youzhi and Gao Xuanneng
Institution:School of Civil Engineering and Architecture, Xiamen University of Technology, Xiamen 361021, Fujian, China;;School of Civil Engineering, Huaqiao University, Quanzhou 362021, Fujian, China
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.
Keywords:complex variable function method  Cauchy integral method  optimization theory  tunnels  analytical solutions
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