DOI QR코드

DOI QR Code

Catastrophe analysis of active-passive mechanisms for shallow tunnels with settlement

  • Yang, X.L. (School of Civil Engineering, Central South University) ;
  • Wang, H.Y. (School of Civil Engineering, Central South University)
  • Received : 2017.04.14
  • Accepted : 2017.11.08
  • Published : 2018.05.20

Abstract

In the note a comprehensive and optimal passive-active mode for describing the limit failure of circular shallow tunnel with settlement is put forward to predict the catastrophic stability during the geotechnical construction. Since the surrounding soil mass around tunnel roof is not homogeneous, with tools of variation calculus, several different curve functions which depict several failure shapes in different soil layers are obtained using virtual work formulae. By making reference to the simple-form of Power-law failure criteria based on numerous experiments, a numerical procedure with consideration of combination of upper bound theorem and stochastic medium theory is applied to the optimal analysis of shallow-buried tunnel failure. With help of functional catastrophe theory, this work presented a more accurate and optimal failure profile compared with previous work. Lastly the note discusses different effects of parameters in new yield rule and soil mechanical coefficients on failure mechanisms. The scope of failure block becomes smaller with increase of the parameter A and the range of failure soil mass tends to decrease with decrease of unit weight of the soil and tunnel radius, which verifies the geomechanics and practical case in engineering.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation

References

  1. Anyaegbunam, A.J. (2015), "Nonlinear power-type failure laws for geomaterials: Synthesis from triaxial data, properties, and applications", J. Geomech., 15(1), 04014036. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000348
  2. Baker, R. (2004), "Nonlinear Mohr envelopes based on triaxial data", J. Geotech. Geoenviron. Eng., 130(5), 498-506. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:5(498)
  3. Chen, W.F. (1975), Limit Analysis and Soil Plasticity, Elsevier Science, Amsterdam, The Netherlands.
  4. Du, X.F. (1994), Application of Catastrophe Theory in Economic Field, Xi'an Electronic Science and Technology University Press, Chengdu, China.
  5. Fahimifar, A., Ghadami, H. and Ahmadvand, M. (2015), "The ground response curve of underwater tunnels excavated in a strain-softening rock mass", Geomech. Eng., 8(3), 323-359. https://doi.org/10.12989/gae.2015.8.3.323
  6. Fang, Y.S., Lin, J.S. and Su, C.S. (1994), "An estimation of ground settlement due to shield tunneling by the Peck-Fujita method", Can. Geotech. J., 31(3), 431-443. https://doi.org/10.1139/t94-050
  7. Fraldi, M. and Guarracino, F. (2010), "Analytical solutions for collapse mechanisms in tunnels with arbitrary cross sections", J. Solid. Struct., 47(2), 216-223. https://doi.org/10.1016/j.ijsolstr.2009.09.028
  8. Hoek, E. and Brown, E.T. (1980), Underground Excavations in Rock, CRC Press, Boca Raton, Florida, U.S.A., 1165-1186.
  9. Hoek, E. and Brown, E.T. (1997), "Practical estimates of rock mass strength", J. Rock Mech. Min. Sci., 34(8), 1165-1186.. https://doi.org/10.1016/S1365-1609(97)80069-X
  10. Jiang, J.C, Baker, R. and Yamagami, T. (2003), "The effect of strengthenvelope nonlinearity on slope stability computations," Can. Geotech. J., 40(2), 308-325. https://doi.org/10.1139/t02-111
  11. Lee, Y.J. (2016), "Determination of tunnel support pressure under the pile tip using upper and lower bounds with a superimposed approach", Geomech. Eng., 11(4), 587-605. https://doi.org/10.12989/gae.2016.11.4.587
  12. Litwiniszyn, J. (1957), "The theories and model research of movements of ground masses", Proceedings of the European Congress Ground Movement, Leeds, U.K., April.
  13. Li, T.Z., Li, Y.X. and Yang, X.L. (2017), "Rock burst prediction based on genetic algorithms and extreme learning machine", J. Central South Univ., 24(9), 2105-2113. https://doi.org/10.1007/s11771-017-3619-1
  14. Li, T.Z. and Yang, X.L. (2017), "Limit analysis of failure mechanism of tunnel roof collapse considering variable detaching velocity along yield surface", J. Rock Mech. Min. Sci., 100, 229-237.
  15. Li, T.Z. and Yang, X.L. (2018a), "Risk assessment model for water and mud inrush in deep and long tunnels based on normal grey cloud clustering method", KSCE J. Civ. Eng., 22(5), 1991-2001. https://doi.org/10.1007/s12205-017-0553-6
  16. Li, T.Z. and Yang, X.L. (2018b), "Reliability analysis of tunnel face in broken soft rocks using improved response surface method", J. Geomech., 18(5), 04018021. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001129
  17. Liu, X.R., Li, D.L., Wang, J.B. and Wang, Z. (2015), "Surrounding rock pressure of shallow-buried bilateral bias tunnels under earthquake", Geomech. Eng., 9(4), 427-445. https://doi.org/10.12989/gae.2015.9.4.427
  18. Mohammadi, M. and Tavakoli, H. (2015), "Comparing the generalized Hoek-Brown and Mohr-Coulomb failure criteria for stress analysis on the rocks failure plane", Geomech. Eng., 9(1), 115-124. https://doi.org/10.12989/gae.2015.9.1.115
  19. Mollon, G., Dias, D. and Soubra, A.H. (2011), "Rotational failure mechanisms for the face stability analysis of tunnels driven by a pressurized shield", J. Numer. Anal. Meth. Geomech., 35(12), 1363-1388. https://doi.org/10.1002/nag.962
  20. Qin, C.B., Chian, S.C. and Yang, X.L. (2017), "3D limit analysis of progressive collapse in partly weathered Hoek-Brown rock banks", J. Geomech., 17(7), 04017011. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000885
  21. Smith, C.C. (1998), "Limit loads for an anchor/trapdoor embedded in an assoviative coulomb soil", J. Numer. Anal. Meth. Geomech., 22(11), 855-865. https://doi.org/10.1002/(SICI)1096-9853(199811)22:11<855::AID-NAG945>3.0.CO;2-4
  22. Thom, R. (1972), Structural Stability and Morphogenesis, Westview Press, Boulder, Colorado, U.S.A.
  23. Xu, J.S., Li, Y.X. and Yang, X.L. (2018a), "Stability charts and reinforcement with piles in 3D nonhomogeneous and anisotropic soil slope", Geomech. Eng., 14(1), 71-81. https://doi.org/10.12989/GAE.2018.14.1.071
  24. Xu, J.S., Pan, Q.J., Yang, X.L. and Li, W.T. (2018b), "Stability charts for rock slopes subjected to water drawdown based on the modified nonlinear Hoek-Brown failure criterion", J. Geomech., 18(1), 04017133. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001039
  25. Xu, J.S. and Yang, X.L. (2018), "Effects of seismic force and pore water pressure on three dimensional slope stability in nonhomogeneous and anisotropic soil", KSCE J. Civ. Eng., 22(5), 1720-1729. https://doi.org/10.1007/s12205-017-1958-y
  26. Yang, X.L. (2018), "Lower-bound analytical solution for bearing capacity factor using modified Hoek-Brown failure criterion", Can. Geotech. J., 55(4), 577-583. https://doi.org/10.1139/cgj-2016-0694
  27. Yang, X.L. and Li, Z.W. (2018a), "Kinematical analysis of 3D passive earth pressure with nonlinear yield criterion", J. Numer. Anal. Meth. Geomech., 42(7), 916-930. https://doi.org/10.1002/nag.2771
  28. Yang, X.L. and Li, Z.W. (2018b), "Upper bound analysis of 3D static and seismic active earth pressure", Soil Dyn. Earthq. Eng., 108, 18-28. https://doi.org/10.1016/j.soildyn.2018.02.006
  29. Yang, X.L. and Li, Z.W. (2018c), "Factor of safety of threedimensional stepped slope", J. Geomech., 18(6), 04018036. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001154
  30. Yang, X.L., Li, Z.W., Liu, Z.A. and Xiao, H.B. (2017), "Collapse analysis of tunnel floor in karst area based on Hoek-Brown rock media", J. Central South Univ., 24(4), 957-966. https://doi.org/10.1007/s11771-017-3498-5
  31. Yang, X.L. and Yao, C. (2018), "Stability of tunnel roof in nonhomogeneous soils", J. Geomech., 18(3), 06018002. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001104
  32. Yang, X.L. and Zhang, R. (2017), "Collapse analysis of shallow tunnel subjected to seepage in layered soils considering joined effects of settlement and dilation", Geomech. Eng., 13(2), 217-235. https://doi.org/10.12989/GAE.2017.13.2.217
  33. Yang, X.L. and Zhang, R. (2018), "Limit analysis of stability of twin shallow tunnels considering surface settlement", KSCE J. Civ. Eng., 22(5), 1967-1977. https://doi.org/10.1007/s12205-017-1398-8
  34. Yang, X.L., Zhou, T. and Li, W.T. (2018), "Reliability analysis of tunnel roof in layered Hoek-Brown rock masses", Comput. Geotech.
  35. Yang, Z.H., Zhang, R., Xu, J.S. and Yang X.L. (2017), "Energy analysis of rock plug thickness in karst tunnels based on nonassociated flow rule and nonlinear failure criterion", J. Central South Univ., 24(12), 2940-2950. https://doi.org/10.1007/s11771-017-3708-1
  36. Zhu, H.H., Mei, G.X., Xu, M., Liu, Y. and Yin, J.H. (2014), "Experimental and numerical investigation of uplift behavior of umbrella-shaped ground anchor", Geomech. Eng., 7(2), 165-181. https://doi.org/10.12989/gae.2014.7.2.165

Cited by

  1. Upper Bound Analysis of the Stability of 3D Slopes in the Saturated Soft Clay Subjected to Seismic Effect vol.9, pp.None, 2018, https://doi.org/10.3389/feart.2021.795854