Theoretical solutions of a circular tunnel with the influence of axial in situ stress in elastic-brittle-plastic rock

被引:59
作者
Wang, Shuilin [1 ]
Wu, Zhenjun [1 ]
Guo, Mingwei [1 ]
Ge, Xiurun [1 ]
机构
[1] Chinese Acad Sci, State Key Lab Geomech & Geotech Engn, Inst Rock & Soil Mech, Wuhan 430071, Peoples R China
基金
中国国家自然科学基金;
关键词
Elastic-brittle-plastic model; Out-of-plane stress; Theoretical solution; Circular tunnel; Mohr-Coulomb criterion; GROUND RESPONSE CURVES; MASSES; DISPLACEMENTS; OPENINGS;
D O I
10.1016/j.tust.2012.02.016
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
Theoretical solutions are presented for the prediction of stresses and displacements around a circular tunnel in Mohr-Coulomb (M-C) rock mass, which is subject to a hydrostatic stress field in the cross section of the tunnel and out-of-plane stress in the axis of it. Elastic-brittle-plastic constitutive model with a non-associated flow rule is used in the analysis. After the axial in situ stress is taken into account, the out-of-plane stress is not always the intermediate one in principle stress space. Therefore, solutions are different from those in the normal plane strain problem where the out-of-plane stress is supposed to be the intermediate principle stress. Moreover, different patterns of plastic zones are formed with the various combinations of hydrostatic stress in the cross section and out-of-plane stress in the axis of the tunnel. Numerical examples illustrate that the distribution of stresses and displacements in the surrounding rock mass of the tunnel is significantly influenced by the axial stress in the case where there is a large drop in strength at yield or a big difference between the uniform in-plan stress and the out-of-plane stress. (c) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:155 / 168
页数:14
相关论文
共 15 条
[1]   Ground response curves for rock masses exhibiting strain-softening behaviour [J].
Alonso, E ;
Alejano, LR ;
Varas, F ;
Fdez-Manín, G ;
Carranza-Torres, C .
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2003, 27 (13) :1153-1185
[2]   GROUND RESPONSE CURVES FOR ROCK TUNNELS [J].
BROWN, ET ;
BRAY, JW ;
LADANYI, B ;
HOEK, E .
JOURNAL OF GEOTECHNICAL ENGINEERING-ASCE, 1983, 109 (01) :15-39
[3]   The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion [J].
Carranza-Torres, C ;
Fairhurst, C .
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES, 1999, 36 (06) :777-809
[4]   A new numerical procedure for elasto-plastic analysis of a circular opening excavated in a strain-softening rock mass [J].
Lee, Youn-Kyou ;
Pietruszczak, S. .
TUNNELLING AND UNDERGROUND SPACE TECHNOLOGY, 2008, 23 (05) :588-599
[5]   Tempo-spatial characteristics and influential factors of rockburst: a case study of transportation and drainage tunnels in Jinping II hydropower station [J].
Liu, Lipeng ;
Wang, Xiaogang ;
Zhang, Yizhong ;
Jia, Zhixin ;
Duan, Qingwei .
JOURNAL OF ROCK MECHANICS AND GEOTECHNICAL ENGINEERING, 2011, 3 (02) :179-185
[6]   Elasto-plastic analysis of a circular tunnel including the effect of the axial in situ stress [J].
Lu, Ai-Zhong ;
Xu, Gui-sheng ;
Sun, Feng ;
Sun, Wan-Quan .
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES, 2010, 47 (01) :50-59
[7]   EFFECTS OF DILATANCY AND YIELD CRITERIA ON DISPLACEMENTS AROUND TUNNELS [J].
OGAWA, T ;
LO, KY .
CANADIAN GEOTECHNICAL JOURNAL, 1987, 24 (01) :100-113
[8]   Analytical solution for a circular opening in an elastic-brittle-plastic rock [J].
Park, KH ;
Kim, YJ .
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES, 2006, 43 (04) :616-622
[9]   A simple procedure for ground response curve of circular tunnel in elastic-strain softening rock masses [J].
Park, Kyung-Ho ;
Tontavanich, Bituporn ;
Lee, Joo-Gong .
TUNNELLING AND UNDERGROUND SPACE TECHNOLOGY, 2008, 23 (02) :151-159
[10]   THE INFLUENCE OF OUT-OF-PLANE STRESS ON A PLANE-STRAIN PROBLEM IN ROCK MECHANICS [J].
REED, MB .
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 1988, 12 (02) :173-181