黄土隧洞变形及稳定性分析

doi:10.3969/j.issn.1674-0696.2017.07.04

摘要/Abstract

摘要： 以黄土隧洞的应力变形及稳定性分析为研究目标，首先基于考虑黏聚力c值的SMP准则，对原UH模型进行改进，建立了考虑c值的UH模型，使得UH模型能够用于隧洞开挖等问题的分析；然后应用半隐式回映算法对应力进行更新，采用Newton-Raphson算法进行非线性问题的解答，编制了考虑c值UH模型的有限元程序，并将初始超固结比OCR作为参数引入到有限元程序中；进而对一无衬砌黄土隧洞进行了三维有限元分析，比较分析了应用原UH模型、考虑c值的UH模型和Mohr-Coulomb模型计算得到隧洞周围土体的位移。说明了应用考虑c值的UH模型进行隧洞计算分析的合理性，得出了隧洞周围土体的位移变化规律，并应用考虑c值的UH模型研究了隧洞周围土体的应力应变规律，而且应用有限元强度折减法，对隧洞的安全稳定性进行了分析，研究了超固结比与安全稳定性的关系。

关键词: 隧道工程, 黄土隧洞, UH模型, 黏聚力, 变形, 稳定性

Abstract: The stress deformation and stability analysis of the loess tunnel engineering was taken as the study objective. Firstly, on the basis of SMP criterion considering the cohesion value c, the original UH model was improved and UH model considering c value was established, which made UH model could analyze the tunnel excavation problems. Secondly, the semi-implicit return mapping algorithm was adopted to update the stress, and Newton-Raphson algorithm was adopted to solve the nonlinear problems. The finite element program of UH model considering c value was compiled, and the initial over-consolidated ratio OCR as one parameter was also introduced into the finite element program. Finally, the three dimensional finite element analysis of an unlined loess tunnel was performed. The displacement of the clay around the tunnel calculated by the original UH model, the UH model considering c value and Mohr-Coulomb model were compared. And the UH model considering c value was used to carry out the calculation analysis of tunnel, whose rationality was declared. Furthermore, the displacement variation law of the clay around the tunnel was attained. The stress-strain law of the clay around the tunnel was studied by using the UH model considering c value. In addition, the security and stability of tunnel was analyzed by using the strength reduction FEM, and the relationship between over-consolidated ratio and security-stability was studied.

Key words: tunnel engineering, loess tunnel, UH model, cohesion, deformation, stability

中图分类号:

U451
TU43

冯兴1，姚仰平2，霍海峰1. 黄土隧洞变形及稳定性分析[J]. 重庆交通大学学报（自然科学版）, 2017, 36(7): 21-29.

FENG Xing1, YAO Yangping2, HUO Haifeng1. Deformation and Stability of Loess Tunnel[J]. Journal of Chongqing Jiaotong University(Natural Science), 2017, 36(7): 21-29.

参考文献

［1］郑颖人，邱陈瑜，张红，等．关于土体隧洞围岩稳定性分析方法的探索［J］．岩石力学与工程学报，2008，27(10)：1968-1980．
ZHENG Yingren, QIU Chenyu, ZHANG Hong, et al. Exploration of stability analysis methods for surrounding rocks of soil tunnel［J］. Chinese Journal of Rock
Mechanics and Engineering, 2008, 27(10): 1968-1980.
［2］郑颖人，邱陈瑜，宋雅坤，等．土质隧洞围岩稳定性分析与设计计算方法探讨［J］．后勤工程学院学报，2009，25(3): 1-9．
ZHENG Yingren, QIU Chenyu, SONG Yakun, et al. Exploration of stability analysis and design calculation methods of surrounding rocks in soil tunnel［J］. Journal of
Logistical Engineering University, 2009, 25(3): 1-9.
［3］郑颖人．有限元极限分析法在隧洞工程中的应用［J］．重庆交通大学学报(自然科学版)，2011，31(增刊2)：1127-1137．
ZHENG Yingren. The application of FEM limit analysis in tunnel engineering［J］. Journal of Chongqing Jiaotong University(Natural Science), 2011, 31(Sup 2): 1127-
1137.
［4］向钰周，王成，郑颖人，等．无衬砌浅埋隧洞松散压力的数值分析法［J］．重庆交通大学学报(自然科学版)，2012，31(3)：380-384．
XIANG Yuzhou, WANG Cheng, ZHENG Yingren, et al. Numerical analysis of surrounding rock pressure on shallow buried tunnel［J］. Journal of Chongqing Jiaotong
University(Natural Science), 2012, 31(3): 380-384.
［5］张贵忠，付仕保，刘隹，等．浅谈黄土地区隧洞开挖技术［J］．西北水资源与水工程，1998，9(1)：56-60．
ZHANG Guizhong, FU Shibao, LIU Wei, et al. Introduction to tunnel excavation technology in the loess area［J］. Water Resources and Water Engineering, 1998, 9(1):
56-60.
［6］大西有三，岸本英明．トンネル切羽进行の影响を近似的に考虑レた二次元有限要素解析［J］．トンネルと地下，1980，11：859-864．
［7］足立纪尚，矢野隆夫．トンネル掘削を伴j地山变位计测结果の简易解析法［C］．日本土木学会论文集，1987，388：207-216．
［8］ YAO Yangping, HOU Wei, ZHOU Annan. UH model: three-dimensional unified hardening model for over-consolidated clays［J］. Géotechnique, 2009, 59(5): 451-469.
［9］姚仰平，侯伟，周安楠．基于Hvorslev面的超固结土本构模型［J］．中国科学(E辑)，2007，37(11):1417-1419．
YAO Yangping, HOU Wei, ZHOU Annan. Constitutive model of over-consolidated clay based on improved Hvorslev envelope［J］. Science in China(Series E), 2007, 37
(11):1417-1429.
［10］姚仰平，李自强，侯伟，等．基于改进伏斯列夫线的超固结土本构模型［J］．水利学报，2008，39(11)：1244-1250．
YAO Yangping, LI Ziqiang, HOU Wei, et al. Constitutive model of over-consolidated clay based on improved Hvorslev envelope［J］. Journal of Hydraulic Engineering,
2008, 39(11): 1244-1250.
［11］ MATSUOKA H, YAO Yangping, SUN De’an. The cam-clay models revised by the SMP criterion［J］. Journal of the Japanese Geotechnical Society Soils and
Foundations, 1999, 39(1): 81-95.
［12］ YAO Yangping, LUO Ting, SUN De’an, et al. A simple 3-D constitutive model for both clay and sand［J］. Chinese Journal of Geotechnical Engineering, 2002,
24(2): 240-246.
［13］ YAO Yangping, ZHOU Annan, LU Dechun. Extended transformed stress space for geo-materials and its application［J］. Journal of Engineering Mechanics, 2007,
133(10): 1115-1123.
［14］姚仰平，路德春，周安楠，等．广义非线性强度理论及其变换应力空间［J］．中国科学(E辑)，2004，34(11)：1283-1299．
YAO Yangping, LU Dechun, ZHOU Annan, et al. Generalized nonlinear failure theory transformed stress space for geo-materials［J］. Science in China (Series E),
2004, 34(11): 1283-1299.
［15］姚仰平，路德春，周安楠．岩土类材料的变换应力空间及其应用［J］．岩土工程学报，2005，27(1)：24-29．
YAO Yangping, LU Dechun, ZHOU Annan. Transformed stress space for geo-materials and its application［J］. Chinese Journal of Geotechnical Engineering, 2005, 27
(1): 24-29.
［16］罗汀，秦振华，姚仰平，等．UH模型切线刚度矩阵对称化及其应用［J］．力学学报，2011，43(6)：1186-1190．
LUO Ting, QIN Zhenhua, YAO Yangping, et al. Symmetrization and applications of tangent stiffness matrix for UH model［J］. Chinese Journal of Theoretical and
Mechanics, 2011, 43(6): 1186-1190.
［17］朱伯芳．有限单元法原理与应用［M］．北京：中国水利水电出版社，1998．
ZHU Bofang. Principle and Application of Finite Element Method［M］. Beijing: China Waterpower Press, 1998.
［18］姚仰平，冯兴，黄祥，等．UH模型在有限元分析中的应用［J］．岩土力学，2010，31(1)：237-245．
YAO Yangping, FENG Xing, HUANG Xiang, et al. Application of UH model to finite element analysis［J］. Rock and Soil Mechanics, 2010, 31(1): 237-245.
［19］冯兴，姚仰平，李春亮，等．UH模型在双层地基受力变形分析中的应用［J］．岩土工程学报，2012，34(5)：805-811．
FENG Xing, YAO Yangping, LI Chunliang, et al. Application of UH model to analysis of deformation of double-layer subgrade［J］. Chinese Journal of Geotechnical
Engineering,2012,34(5): 805-811.
［20］肖强，郑颖人，叶海林．静力无衬砌黄土隧洞稳定性探讨［J］．地下空间与工程学报，2010，6(6)：1136-1141．
XIAO Qiang, ZHENG Yingren, YE Hailin. Stability analysis of static unlined loess tunnel［J］. Chinese Journal of Underground Space and Engineering, 2010, 6(6):
1136-1141.
［21］陈林杰，郑晓卫．基于有限元强度折减法的地震区三维边坡稳定性分析［J］．重庆交通大学学报(自然科学版)，2013，32(3)：415-418．
CHEN Linjie, ZHENG Xiaowei. Three-dimensional slope stability of earthquake zone based on strength reduction FEM［J］. Journal of Chongqing Jiaotong University
(Natural Science), 2013, 32(3): 415- 418.

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