Stress analysis of deep horseshoe tunnel considering support delay

Lü Ai-zhong; QIN Yuan; CHEN Hong-yu

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Stress analysis of deep horseshoe tunnel considering support delay

更新时间：2026-06-25

- Stress analysis of deep horseshoe tunnel considering support delay
- Vol. 35, Issue S1, (2014)
- 作者机构：
  
  华北电力大学水电与岩土工程研究所,北京,102206
- 作者简介：
- 基金信息：
- DOI：
  CLC： U452
- Online First：20 June 2014，
  
  Published：2014
- 稿件说明：
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Lü Ai-zhong, QIN Yuan, CHEN Hong-yu. Stress analysis of deep horseshoe tunnel considering support delay[J]. 2014, 35(S1).
DOI：

Lü Ai-zhong, QIN Yuan, CHEN Hong-yu. Stress analysis of deep horseshoe tunnel considering support delay[J]. 2014, 35(S1). DOI：

摘要

基于平面弹性复变函数中的保角变换方法，推导出带有衬砌的非圆形隧洞在原始地应力作用下的应力解析解。根据衬砌内边界的应力边界条件及围岩衬砌接触面上的应力和位移连续条件，获得求解围岩和衬砌解析函数的基本方程，计算了围岩和衬砌中的应力和位移。在求解过程中，考虑了支护滞后于开挖的力学过程，并认为围岩和衬砌之间紧密接触，不会相互分开和相对滑动。以马蹄形隧洞为例，获得了围岩开挖边界和衬砌内外边界的切向应力及围岩与衬砌接触面上的接触应力分布规律，并与ANSYS数值方法结果对比，算例表明两种方法的计算结果吻合很好。

Abstract

Based on conformal mapping method of plane elasticity complex function

the analytical solution for non-circular supported tunnel subjected to in-situ stress can be obtained. According to the boundary conditions along the inner boundary of liner and the stress and displacement continuity conditions along the liner-surrounding rock mass interface

the basic equations for solving the analytic functions of the surrounding rock and liner are given. And the stresses and displacements are calculated. In the solving process

support delay and pure bond are taken into consideration. Taking the horseshoe tunnel for example

the tangential stresses of the rock excavation boundary and the contact stresses on the liner-surrounding rock mass interfaces are obtained. The results are compared with that by the ANSYS software. The numerical example shows that the results of two methods are in good agreement.

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