Abstract
A new failure mechanism is proposed to analyze the roof collapse based on nonlinear failure criterion. Limit analysis approach and variational principle are used to obtain analytical findings concerning the stability of potential roof. Then, parametric study is carried out to derive the change rule of corresponding parameters on the influence of collapsing shape, which is of paramount engineering significance to instruct the tunnel excavations. In comparison with existing results, the findings show agreement and validity of the proposed method. The actual collapse in certain shallow tunnels is well in accordance with the proposed failure mechanism.
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MICHALOWSKI R L. Stability charts for uniform slopes [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2002, 128(4): 351–355.
SOUBRA A H. Static and seismic passive earth pressure coefficients on rigid retaining structure [J]. Canadian Geotechnical Journal, 2000, 37(2): 463–478.
BAKER R. Nonlinear mohr envelopes based on triaxial data [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2004, 130(5): 498–506.
SLOAN S W, ASSADI A. Undrained stability of a square tunnel in a soil whose strength increases linearly with depth [J]. Computers and Geotechnics, 1991, 12(4): 321–346.
CHAMBON P, CORTÉ J F. Shallow tunnels in cohesionless soil: Stability of tunnel face [J]. Journal of Geotechnical Engineering, 1994, 120(7): 1148–1165.
LAM L, FREDLUND D G. A general limit equilibrium model for three-dimensional slope stability analysis [J]. Canadian Geotechnical Journal, 1993, 30(6): 905–919.
DONALD I B, CHEN Z Y. Slope stability analysis by the upper bound approach: Fundamentals and methods [J]. Canadian Geotechnical Journal, 1997, 34(6): 853–862.
ANAGNOSTOU G, KOVÁRI K. Face stability conditions with earth-presssure-balanced shields [J]. Tunnelling and Underground Space Technology, 1996, 11(2): 165–173.
MOLLON G, DIAS D, SOUBRA A H. Rotational failure mechanisms for the face stability analysis of tunnels driven by a pressurized shield [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2011, 25(12): 1363–1388.
FRALDI M, GUARRACINO F. Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek-Brown failure criterion [J]. International Journal of Rock Mechanics and Mining Sciences, 2009, 46(4): 665–673.
FRALDI M, GUARRACINO F. Analytical solutions for collapse mechanisms in tunnels with arbitrary cross sections [J]. International Journal of Solids and Structures, 2010, 47(2): 216–223.
HUANG Fu, ZHANG Dao-Bing, SUN Zhi-Bin. Influence of pore pressure effect on upper bound solution of collapse shape for square tunnel in Hoek-Brown media [J]. Journal of Central South University of Technology, 2011, 18(2): 530–535.
HUANG Fu, ZHANG Dao-Bing, SUN Zhi-Bin. Upper bound solutions of stability factor of shallow tunnels in saturated soil based on strength reduction technique [J]. Journal of Central South University, 2012, 19(7): 2008–2015.
QIN C B, SUN Z B, LIANG Q. Limit analysis of roof collapse in tunnels under seepage forces condition with three-dimensional failure mechanism [J]. Journal of Central South University, 2013, 20(8): 2314–2322.
OSMAN A S, MAIR R J, BOLTON M D. On the kinematics of 2D tunnel collapse in undrained clay [J]. Géotechnique, 2006, 56(9): 585–595.
ASHRAF S OSMAN A S. Stability of unlined twin tunnels in undrained clay [J]. Tunneling and Underground Space Technology, 2010, 25: 290–296.
SUN Zhi-bin, ZHANG Dao-bing. Back analysis for soil slope based on measuring inclination data [J]. Journal of Central South University, 2012, 19(11): 3291–3297.
SUN Zhi-bin, LI Qiao. Back analysis of general slope under earthquake forces using upper bound theorem [J]. Journal of Central South University, 2013, 20(11): 3274–3281.
HOEK E, BROWN E T. Practical estimates of rock mass strength [J]. International Journal of Rock Mechanics and Mining Sciences, 1997, 34(8): 1165–1186.
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Foundation item: Project(2013CB036004) supported by the National Basic Research Program of China; Projects(51178468, 51378510) supported by the National Natural Science Foundation of China
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Yang, Xl., Long, Zx. Roof collapse of shallow tunnels with limit analysis method. J. Cent. South Univ. 22, 1929–1936 (2015). https://doi.org/10.1007/s11771-015-2712-6
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DOI: https://doi.org/10.1007/s11771-015-2712-6