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An elasto-plastic damage constitutive model for jointed rock mass with an application

  • Wang, Hanpeng (Geotechnical & Structural Engineering Research Center, Shandong University) ;
  • Li, Yong (Geotechnical & Structural Engineering Research Center, Shandong University) ;
  • Li, Shucai (Geotechnical & Structural Engineering Research Center, Shandong University) ;
  • Zhang, Qingsong (Geotechnical & Structural Engineering Research Center, Shandong University) ;
  • Liu, Jian (School of Civil Engineering, Shandong University)
  • Received : 2015.12.07
  • Accepted : 2016.03.22
  • Published : 2016.07.25

Abstract

A forked tunnel, as a special complicated underground structure, is composed of big-arch tunnel, multi-arch tunnel, neighborhood tunnels and separate tunnels according to the different distances between two separate tunnels. Due to the complicated process of design and construction, surrounding jointed rock mass stability of the big-arch tunnel which belongs to the forked tunnel during excavation is a hot issue that needs special attentions. In this paper, an elasto-plastic damage constitutive model for jointed rock mass is proposed based on the coupling method considering elasto-plastic and damage theories, and the irreversible thermodynamics theory. Based on this elasto-plastic damage constitutive model, a three dimensional elasto-plastic damage finite element code (D-FEM) is implemented using Visual Fortran language, which can numerically simulate the whole excavation process of underground project and perform the structural stability of the surrounding rock mass. Comparing with a popular commercial computer code, three dimensional fast Lagrangian analysis of continua (FLAC3D), this D-FEM has advantages in terms of rapid computing process, element grouping function and providing more material models. After that, FLAC3D and D-FEM are simultaneously used to perform the structural stability analysis of the surrounding rock mass in the forked tunnel considering three different computing schemes. The final numerical results behave almost consistent using both FLAC3D and D-FEM. But from the point of numerically obtained damage softening areas, the numerical results obtained by D-FEM more closely approach the practical behaviors of in-situ surrounding rock mass.

Keywords

References

  1. Bombolakis, E.G. (1968), "Photoelastic study of initial stages of brittle fracture in compression", Tectonophysics, 6(6), 461-473. https://doi.org/10.1016/0040-1951(68)90072-3
  2. Cai, M. and Kaiser, P.K. (2005), "Assessment of excavation damaged zone using a micromechanics model", Tunn. Undergr. Sp. Tech., 20(4), 301-310. https://doi.org/10.1016/j.tust.2004.12.002
  3. Chen, W.Z., Zhu, W.S. and Shao, J.F. (2004), "Damage coupled time-dependent model of a jointed rock mass and application to large underground cavern excavation", Int. J. Rock Mech. Min., 41(4), 669-677. https://doi.org/10.1016/j.ijrmms.2003.01.003
  4. Drucker, D.C. and Prager, W. (1953), "Soil mechanics and plasticity analysis or limit design", Q Appl. Math., 10(2), 157-165.
  5. Haeri, H., Shahriar, K., Marji, M.F. and Moarefvand, P. (2014), "Experimental and numerical study of crack propagation and coalescence in pre-cracked rock-like disks", Int. J. Rock Mech. Min., 67, 20-28.
  6. Hoek, E. and Bieniawski, Z.T. (1965), "Brittle fracture propagation in rock under compression", Int. J. Fract., 1(3), 137-155.
  7. Hong, K.R. (2015), "State-of-art and prospect of tunnels and underground works in China", Tunnel Constr., 35(2), 95-107.
  8. Kachanov, L.M. (1958), "On the creep fracture time", Izv. Akad. Nauk. USSR Otd. Tekh., 8, 26-31.
  9. Keats, J.B. and Lawrence, F.P. (1997), "Weibull maximum likelihood parameter estimates with censored data", J. Qual. Technol., 29, 105-110. https://doi.org/10.1080/00224065.1997.11979730
  10. Krajcinovic, D. (1985), "Continuous damage mechanics revisited: Basic concepts and definitions", J. Appl. Mech., 52(4), 829-834. https://doi.org/10.1115/1.3169154
  11. Kruschwitz, S. and Yaramanci, U. (2004), "Detection and characterization of the disturbed rock zone in claystone with the complex resistivity method", J. Appl. Geophys., 57(1), 63-79. https://doi.org/10.1016/j.jappgeo.2004.09.003
  12. Lee, H. and Jeon, S. (2011), "An experimental and numerical study of fracture coalescence in pre-cracked specimens under uniaxial compression", Int. J. Solids Struct., 48(6), 979-999. https://doi.org/10.1016/j.ijsolstr.2010.12.001
  13. Leu, S.Y. (2005), "Convergence analysis and validation of sequential limit analysis of plane-strain problems of the von Mises model with non‐linear isotropic hardening", Int. J. Numer. Meth. Eng., 64(3), 322-334. https://doi.org/10.1002/nme.1367
  14. Li, B., Jiang, Y.J., Mizokami, T., Ikusada, K. and Mitani, Y. (2014), "Anisotropic shear behavior of closely jointed rock masses", Int. J. Rock Mech. Min., 71, 258-271.
  15. Li, Y., Zhou, H., Zhu, W.S., Li, S.C. and Liu, J. (2015), "Numerical study on crack propagation in brittle jointed rock mass influenced by fracture water pressure", Materials, 8(6), 3364-3376. https://doi.org/10.3390/ma8063364
  16. Lin, P., Zhou, Y., Liu, H. and Wang, C. (2013), "Reinforcement design and stability analysis for large-span tailrace bifurcated tunnels with irregular geometry", Tunn. Undergr. Sp. Tech., 38(9), 189-204. https://doi.org/10.1016/j.tust.2013.07.011
  17. Lin, P., Liu, H.Y. and Zhou, W.Y. (2015), "Experimental study on failure behaviour of deep tunnels under high in-situ stresses", Tunn. Undergr. Sp. Tech., 46, 28-45. https://doi.org/10.1016/j.tust.2014.10.009
  18. Liu, W.D. (2015), "Scientific understanding of the belt and road initiative of China and related research themes", Prog. Geogr., 34(5), 538-544.
  19. Liu, H.Y. and Yuan, X.P. (2014), "A damage constitutive model for rock mass with persistent joints considering joint shear strength", Can. Geotech. J., 52(8), 1136-1143. https://doi.org/10.1139/cgj-2014-0252
  20. Liu, H.Y., Small, J.C., Carter, J.P. and Williams, D.J. (2009), "Effects of tunnelling on existing support systems of perpendicularly crossing tunnels", Comput. Geotech., 36(5), 880-894. https://doi.org/10.1016/j.compgeo.2009.01.013
  21. Ma, J., Sun, S.Z., Zhao, W.Y., Wang, L., Ma, Y., Liu, H., Zhang, W.W., Chen, H.Y., Chen, L., Wei, Y.W. and Ye, F. (2015), "Review on China's tunnel engineering research: 2015", China J. Highway Transport, 28(5), 1-65.
  22. Mazars, J. and Pijaudier-Cabot, G. (1989), "Continuum damage theory-application to concrete", J. Eng. Mech.-ASCE, 115(2), 345-365. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:2(345)
  23. Ng, C.W.W., Boonyarak, T. and Masin, D. (2013), "Three-dimensional centrifuge and numerical modeling of the interaction between perpendicularly crossing tunnels", Can. Geotech. J., 50(9), 935-946. https://doi.org/10.1139/cgj-2012-0445
  24. Qin, Y.P. (2001), "Discussion on damage mechanics model and constitutive equation of rock", Chin. J. Rock Mech. Eng., 20(4), 560-562.
  25. Sato, T., Kikuchi, T. and Sugihara, K. (2000), "In-situ experiments on an excavation disturbed zone induced by mechanical excavation in Neogene sedimentary rock at Tono mine, central Japan", Eng. Geol., 56(1-2), 97-108. https://doi.org/10.1016/S0013-7952(99)00136-2
  26. Schuster, K., Alheid, H.J. and Bodener, D. (2001), "Seismic investigation of the Excavation damaged zone in Opalinus Clay", Eng. Geol., 61(2-3), 189-197. https://doi.org/10.1016/S0013-7952(01)00054-0
  27. Sheng, Q., Yue, Z.Q., Lee, C.F., Tham, L.G. and Zhou, H. (2002), "Estimation the excavation disturbed zone in the permanent shiplock slopes of the Three Gorges Project, China", Int. J. Rock Mech. Min., 39(2), 165-184. https://doi.org/10.1016/S1365-1609(02)00015-1
  28. SHIDI (2004), The reasonable layout and surrounding rock stability research of Baziling forked tunnel; The Second Highway Investigation and Design Institute (SHIDI), Report, Wuhan, China.
  29. Shih, V. (2004), "Development, the second time around: The political logic of developing western China", J. East Asian Stud., 4(3), 427-451. https://doi.org/10.1017/S1598240800006032
  30. Singh, M. and Singh, B. (2012), "Modified Mohr-Coulomb criterion for non-linear triaxial and polyaxial strength of jointed rocks", Int. J. Rock Mech. Min. Sci., 51, 43-52. https://doi.org/10.1016/j.ijrmms.2011.12.007
  31. Taiebat, H.A. and Carter, J.P. (2008), "Flow rule effects in the Tresca model", Comput. Geotech., 35(3), 500-503. https://doi.org/10.1016/j.compgeo.2007.06.012
  32. Tang, C.A. (1997), "Numerical simulation of progressive rock failure and associated seismicity", Int. J. Rock Mech. Min., 34(2), 249-261. https://doi.org/10.1016/S0148-9062(96)00039-3
  33. Tecplot, Inc. (2013), Tecplot 360 User's Manual, Tecplot Inc., Bellevue, WA, USA.
  34. Voyiadjis, G.Z. and Park, T. (1999), "The kinematics of damage for finite-strain elasto-plastic solids", Int. J. Eng. Sci., 37(7), 803-830. https://doi.org/10.1016/S0020-7225(98)00100-1
  35. Wang, H.W., Jiang, Y.D., Xue, S., Shen, B.T., Wang, C., Lv, J.G. and Yang, T. (2015), "Assessment of excavation damaged zone around roadways under dynamic pressure induced by an active mining process", Int. J. Rock Mech. Min., 77, 265-277.
  36. Weibull, W. (1951), "A statistical distribution function of wide applicability", J. Appl. Mech., 103, 293-297.
  37. Wu, F.Q., Liu, J.Y., Liu, T., Zhuang, H.Z. and Yan, C.G. (2009), "A method for assessment of excavation damaged zone (EDZ) of a rock mass and its application to a dam foundation case", Eng. Geol., 104(3-4), 254-4262. https://doi.org/10.1016/j.enggeo.2008.11.005
  38. Zhu, W.S., Zhang, Q.Y., Li, S.C. and Lee, C.F. (2003), "Brittle elastoplastic damage constitutive model for jointed Rock masses and computation concerning bolt-reinforcement", Int. J. Damage Mech., 12(1), 65-84. https://doi.org/10.1177/1056789503012001004
  39. Zhu, W.S., Li, Y., Li, S.C., Wang, S.G. and Zhang, Q.B. (2011), "Quasi-three-dimensional physical model tests on a cavern complex under high in-situ stresses", Int. J. Rock Mech. Min., 48(2), 199-209. https://doi.org/10.1016/j.ijrmms.2010.11.008
  40. Zienkiewicz, O.C., Chang, C.T. and Bettess, P. (1980), "Drained, undrained, consolidating dynamic behaviour assumptions in soils", Geotechnique, 30(4), 385-395. https://doi.org/10.1680/geot.1980.30.4.385

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