›› 2011, Vol. 32 ›› Issue (9): 2645-2650.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Upper bound analysis of plane strain tunnel in nonhomogeneous clays

SONG Chun-xia1, 2，HUANG Mao-song1, 2，LÜ Xi-lin1, 2   

  1. 1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China
  • Received:2010-01-12 Online:2011-09-10 Published:2011-09-13

PDF (Chinese)

1699

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.

Key words: plane strain tunnel, face stability, upper bound limit analysis, nonhomogeneous clays

CLC Number: 

  • TU 43
[1] CHEN Zheng, HE Ping, YAN Du-min, GAO Hong-jie, NIE Ao-xiang, . Upper-bound limit analysis of tunnel face stability under advanced support [J]. Rock and Soil Mechanics, 2019, 40(6): 2154-2162.
[2] LIU Feng-tao, ZHANG Shao-fa, DAI Bei-bing, ZHANG Cheng-bo, LIN Kai-rong, . Upper bound limit analysis of soil slopes based on rigid finite element method and second-order cone programming [J]. Rock and Soil Mechanics, 2019, 40(10): 4084-4091.
[3] CHENG Hong-zhan, CHEN Jian, HU Zhi-feng, HUANG Jue-hao, . Face stability analysis for a shield tunnel considering spatial variability of shear strength in sand [J]. , 2018, 39(8): 3047-3054.
[4] YAN Min-jia, XIA Yuan-you, LIU Ting-ting. Limit analysis of bedding rock slopes reinforced by prestressed anchor cables under seismic loads [J]. , 2018, 39(7): 2691-2698.
[5] SUN Cong ，LI Chun-guang ，ZHENG Hong ，SUN Guan-hua，. Upper bound limit analysis based on Taylor expansion form of element velocity [J]. , 2016, 37(4): 1153-1160.
[6] CHEN Jing-yu , ZHAO Lian-heng , LI Liang , TAN Han-hua，. Back analysis of shear strength parameters based on Excel spreadsheet and upper bound limit analysis method [J]. , 2016, 37(3): 827-834.
[7] CHEN Ren-peng , YIN Xin-sheng , TANG Lü-jun , CHEN Yun-min , . Centrifugal model tests of tunneling face failure under seepage flow [J]. , 2015, 36(S1): 225-229.
[8] FENG Li-po ，ZHENG Yong-lai ，DENG Shu-xin ，LI Wen-xun，. Upper bound limit analysis of three-dimensional log-spiral failure mode of deep shield tunnel face [J]. , 2015, 36(7): 2105-2110.
[9] LI De-jian, ZHAO Lian-heng, LI Liang, CHENG Xiao. Influence of nonlinear shear strength parameters on stability of slopes with cracks subjected to seismic effects based on upper bound limit analysis [J]. , 2015, 36(5): 1313-1321.
[10] YANG Jun-sheng，ZHANG Jian，YANG Feng. Stability analysis of shallow tunnel face using two-dimensional finite element upper bound solution with mesh adaptation [J]. , 2015, 36(1): 257-264.
[11] WANG Qi1,2,3，WANG Hong-tao ，LI Shu-cai ，WANG De-chao ，JIANG Bei ，ZHANG Hong-jun ，LI Wei-teng, . Upper bound limit analysis of roof collapse mechanism of large section roadway with thick top coal [J]. , 2014, 35(3): 795-800.
[12] ZHAO Lian-heng ，CAO jin-yuan ，TANG Gao-peng ，WANG Zhi-bin ，TAN Han-hua，. Discussion on slope stability analysis with double strength reduction technique [J]. , 2014, 35(10): 2977-2984.
[13] WANG Hao-ran ， HUANG Mao-song ，LIU Yi-lin , . Three-dimensional stability analysis of slope with weak interlayer [J]. , 2013, 34(S2): 156-160.
[14] TANG Gao-peng ，ZHAO Lian-heng ，LI Liang ，GAO Lian-sheng ，TAN Han-hua . Program development for slope stability using MATLAB software and upper bound limit analysis [J]. , 2013, 34(7): 2091-2098.
[15] CHEN Meng-qiao , LIU Jian-kun , XIAO Jun-hua . Three-dimensional shape of unstable soil of shield tunnel surface in sands [J]. , 2013, 34(4): 961-966.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] SUN Shu-lin，LI Fang，CHEN Jun. Electrical resistivity measurement for lime-stabilized silt soil[J]. , 2010, 31(1): 51 -55 .
[2] LI Ying-yong，ZHANG Ding-li，ZHANG Hong-bo，SONG Xiu-guang. Research on failure mechanism and effects of prestressed anchor cables for reinforcing slopes[J]. , 2010, 31(1): 144 -150 .
[3] LIANG Jian-wei, FANG Ying-guang, GU Ren-guo. Analysis of microelectric field effect of seepage in tiny-particle clay[J]. , 2010, 31(10): 3043 -3050 .
[4] LI Xiu-zhen，WANG Cheng-hua，DENG Hong-yan. A comparison of distance and Fisher discrimination methods applied to identifying potential landslides[J]. , 2011, 32(1): 186 -192 .
[5] KONG Xiang-xing, XIA Cai-chu, QIU Yu-liang, ZHANG Li-ying, GONG Jian-wu. Study of construction mechanical behavior of parallel-small spacing metro tunnels excavated by shield method and cross diaphragm (CRD) method in loess region[J]. , 2011, 32(2): 516 -524 .
[6] WANG Zhen-hong，ZHU Yue-ming，WU Quan-huai，ZHANG Yu-hui. Thermal parameters of concrete by test and back analysis[J]. , 2009, 30(6): 1821 -1825 .
[7] CHEN Li-hua , LIN Zhi , LI Xing-ping. Study of efficacy of systematic anchor bolts in highway tunnels[J]. , 2011, 32(6): 1843 -1848 .
[8] ZHENG Gang ZHANG Li-ming DIAO Yu. Analysis of working performance of piles beneath excavation bottom and settlement calculation[J]. , 2011, 32(10): 3089 -3096 .
[9] ZHAO Ming-hua, LEI Yong, ZHANG Rui. Study of punching failure mode and safe thickness of pile foundation in karst region[J]. , 2012, 33(2): 524 -530 .
[10] WANG Song-he，QI Ji-lin. Experimental study of relaxation characteristics of warm permafrost[J]. , 2012, 33(6): 1660 -1666 .
Copyright © Rock and Soil Mechanics, All Rights Reserved.
Tel: 027-87198484, 87199252, 87199253, 87198752　E-mail: ytlx@whrsm.ac.cn
Powered by Beijing Magtech Co. Ltd