Upper bound analysis of plane strain tunnel in nonhomogeneous clays

SONG Chun-xia; HUANG Mao-song; Lü Xi-lin

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Upper bound analysis of plane strain tunnel in nonhomogeneous clays

更新时间：2026-06-25

- Upper bound analysis of plane strain tunnel in nonhomogeneous clays
- Vol. 32, Issue 9, (2011)
- 作者机构：
  
  1. 同济大学地下建筑与工程系,上海,200092
  2. 同济大学岩土及地下工程教育部重点实验室,上海,200092
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU43
- Online First：13 September 2011，
  
  Published：2011
- 稿件说明：
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SONG Chun-xia, HUANG Mao-song, Lü Xi-lin. Upper bound analysis of plane strain tunnel in nonhomogeneous clays[J]. 2011, 32(9).
DOI：

SONG Chun-xia, HUANG Mao-song, Lü Xi-lin. Upper bound analysis of plane strain tunnel in nonhomogeneous clays[J]. 2011, 32(9). DOI：

摘要

非均质是软黏土地基中比较普遍的现象，而目前隧道开挖面稳定研究中比较成熟的理论主要是针对均质土体。因此，从塑性极限分析上限法的基本原理出发，采用平面应变隧道刚体平动破坏模式（多块体上限法），考虑软黏土地基的非均质性，推导了平面应变隧道极限支护压力关于隧道埋深、土体重度及土体强度的上限公式。通过与其他方法的比较分析，证明了极限分析方法在隧道开挖面稳定性方面的可行性；利用该方法的计算结果详细探讨了隧道开挖面稳定的影响因素；而且由计算结果可知，地基土的非均质性在影响隧道开挖面极限支护压力的同时，也影响着隧道开挖破坏面的位置和形状，为工程实践提供重要的理论依据。

Abstract

The heterogeneity of soil in geotechnical engineering is relatively common

while the analysis method for the face stability of tunnel in nonhomogeneous clays is not well established so far. A simple method for evaluating the undrained stability of plane strain heading tunnel in soft clays is presented. Rigorous upper bounds on the loads required to resist collapse are derived using a rigid block translational collapse mechanism on the basis of plastic limit analysis. The variation of shear strength with depth and the gravity of soil are considered in the study. To verify the quality of the upper-bound solutions

the results are compared with those obtained from the finite element limit analysis. It can be proved that the upper-bound method of limit analysis is a feasible approach for the face stability analysis of tunnel; and it also provides an important theoretical basis for the practical geotechnical engineering.

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