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《Chinese Quarterly of Mechanics》 2003-01
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Analytical Solution for Stress Field in Surrounding Rocks of Shallow Tunnel

LU Wen-chao, ZHONG Zheng, WANG Xu (Key Laboratory of Solid Mechanics of MEC, Tongji University, Shanghai 200092, China)  
The stress and deformation analysis for surrounding rock of tunnels is an important task in tunnels design. Many results were obtained for the cases of deep tunnels. Due to the influence of the surface boundary and ground loads, the analysis for surrounding rocks of shallow tunnel is difficult by ma thematic treatment. Most of the solutions were obtained by using BEM or FEM. There were no analytical solutions available. In this paper, the plane elastic problem of surrounding rocks of shallow circular tunnels under ground loads was studied by means of complex variable method. The complex conformal transformation was used to map the considered region in the physical plane onto a circular ring region in the image plane. The complex potentials were expanded into Laurent Series whose coefficients could be expressed by recurrent relations. The stresses and displacements were then be determined by complex potentials. Finally, the stresses of surrounding rocks and the ground settlements are depicted through an example. The obtained results can be applied to the cases of arbitrary surface distributing loads.
【Fund】: 国家杰出青年科学基金(10125209);; 高等学校优秀青年教师教学科研奖励基金
【CateGory Index】: U451
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