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J4  2010, Vol. 44 Issue (9): 1825-1830    DOI: 10.3785/j.issn.1008-973X.2010.09.031
1.浙江大学 软弱土与环境土工教育部重点实验室,浙江 杭州 310058;2.浙江省建筑设计研究院,浙江 杭州 310006
Elastic complex variables solution for general arbitrary ground
deformation of tunnels in clays
TONG Lei1,2, XIE Kang-he1, LU Meng-meng1, WANG Kun1
1.MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310058, China;
2.Zhejiang Province Institute of Architectural Design and Research, Hangzhou 310006, China
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Based on Verruijt method, an arbitrary ground deformation pattern founded by Sagaseta was assumed as the displacement boundary condition around the tunnel section. Using Mobius conformal mapping transformation, the elastic half plane with a hole was mapped conformally onto a ring on the complex plane. Then the analytic functions were expanded as Laurent series in this region. The stresses and displacements under given displacement were solved by the complex method founded by Muskhelishvili, and a solution for arbitrary deformations around a circular tunnel was deduced. By the case studies, the influences of distortion and vertical translation on surface settlement and horizontal displacement were investigated. The results indicate that liner distortion has greater effect on soil deformation than vertical translation.

出版日期: 2010-09-01
:  U 451.2  
通讯作者: 谢康和,男,教授.     E-mail:
作者简介: 童磊(1983-),男,浙江定海人,博士生,从事软土地基的地下工程研究
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童磊, 谢康和, 卢萌盟, 王坤. 盾构任意衬砌变形边界条件下复变函数弹性解[J]. J4, 2010, 44(9): 1825-1830.

TONG Lei, XIE Kang-He, LEI Meng-Meng, WANG Kun. Elastic complex variables solution for general arbitrary ground
deformation of tunnels in clays. J4, 2010, 44(9): 1825-1830.


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