岩土工程学报Issue(12)：2253-2259,7.DOI:10.11779/CJGE201412013
浅埋隧道围岩应力及位移的显式解析解
Explicit analytical solutions for stress and displacement of surrounding rock in shallow tunnels
摘要
Abstract
The ground movements caused by urban shallow tunnelling can be passed to the ground surface and then form surface settlements. It is necessary to accurately predict the ground movements before tunnelling for effectively controlling the ground settlements. Based on the complex variable function method, the series forms of complex potential functions in z-plane are first obtained using the inverse mapping function. By taking the derivative of analytical functions proposed by Verruijt with Cauchy-Riemann equations, explicit analytical solutions for the stress and displacement induced by shallow tunnelling are obtained. The explicit solutions are intuitional and easily used by engineers, which have smaller amount of calculation than the solutions proposed by Verruijt. Moreover, by improving the previous researches on deformation modes of shallow tunnels, three deformation modes and two deformation ratios are put forward. Finaly, the explicit solutions are compared with the field test data of two tunnel projects, and the accuracy and practicability of the proposed explicit solutions are proved.关键词
浅埋隧道/应力和位移/显式解析解/变形模式/复变函数法Key words
shallow tunnel/stress and displacement/explicit analytical solution/deformation mode/complex variable function method分类
建筑与水利引用本文复制引用
韩凯航,张成平,王梦恕..浅埋隧道围岩应力及位移的显式解析解[J].岩土工程学报,2014,(12):2253-2259,7.基金项目
国家自然科学基金项目（51378002，51008015）；新世纪优秀人才支持计划（NCET-12-0770）；中央高校基本科研业务费专项资金项目 （）
