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Rock failure assessment based on crack density and anisotropy index variations during triaxial loading tests

  • Received : 2014.11.24
  • Accepted : 2015.10.30
  • Published : 2015.12.25

Abstract

Characterization of discontinuous media is an endeavor that poses great challenge to engineers in practice. Since the inherent defects in cracked domains can substantially influence material resistance and govern its behavior, a lot of work is dedicated to efficiently model such effects. In order to overcome difficulties of material instability problems, one needs to comprehensively represent the geometry of cracks along with their impact on the mechanical properties of the intact material. In the present study, stress-strain results from laboratory experiments on Inada granite was used to derive crack tensor as a tool for the evaluation of fractured domain stability. It was found that the formulations proposed earlier could satisfactorily be employed to attain crack tensor via the invariants of which judgment on cracks population and induced anisotropy is possible. The earlier criteria based on crack tensor analyses were reviewed and compared to the results of the current study. It is concluded that the geometrical parameters calculated using mechanical properties could confidently be used to judge the anisotropy as well as strength of the cracked domain.

Keywords

inada granite;crack tensor;triaxial test;fracture;tensor invariant

References

  1. Bass, J.D. (1995), "Elasticity of minerals, glasses and melts", In: Mineral Physics and Crystallography: a Handbook of Physical Constants, (T.J. Ahrens Ed.), American Geophysical Union, Washington D.C., USA.
  2. Bieniawski, Z.T. (1967), "Mechanism of brittle fracture of rock: parts 1 to 3", Int. J. Rock. Mech. Min. Sci. Geomech. Abstr., 4, 395-430. https://doi.org/10.1016/0148-9062(67)90030-7
  3. Budiansky, B. and O'Connell, R.J. (1976), "Elastic moduli of a cracked solid", Int. J. Solids Struct., 12(2), 81-97. https://doi.org/10.1016/0020-7683(76)90044-5
  4. Clayton, J.D. (2010), "Deformation, fracture, and fragmentation in brittle geologic solids", Int. J. Fract., 163(1), 151-172. https://doi.org/10.1007/s10704-009-9409-5
  5. Douglass, P.M. and Voight, B. (1969), "Anisotropy of granite: A reflection of microscopic fabric", Geotechnique, 19(3), 376-398. https://doi.org/10.1680/geot.1969.19.3.376
  6. Golshani, A. (2003), "A micromechanical model for brittle failure of rock under compression", Ph.D. Dissertation, Saitama University, Saitama, Japan.
  7. Golshani, A., Okui, Y., Oda, M. and Takemura, T. (2006), "A micromechanical model for brittle failure of rock and its relation to crack growth observed in triaxial compression tests of granite", Mech. Mater., 38(4), 287-303. https://doi.org/10.1016/j.mechmat.2005.07.003
  8. Golshani, A., Oda, M., Okui, Y., Takemura, T. and Munkhtogoo, E. (2007), "Numerical simulation of the excavation damaged zone around an opening in brittle rock", Int. J. Rock Mech. Min. Sci., 44(6), 835-845. https://doi.org/10.1016/j.ijrmms.2006.12.005
  9. Golshani, A. and Tran-Cong, T. (2009), "Energy analysis of hydraulic fracturing", KSCE J. Civil Eng., 13(4), 219-224. https://doi.org/10.1007/s12205-009-0219-0
  10. Hazzard, J.F., Young, R.P. and Maxwell, S.C. (2000), "Micromechanical modeling of cracking and failure in brittle rocks", J. Geophys. Res., 105(B7), 16683-16697. https://doi.org/10.1029/2000JB900085
  11. He, M.C., Miao, J.L. and Feng, J.L. (2010), "Rock burst process of limestone and its acoustic emission characteristics under true-triaxial unloading conditions", Int. J. Rock Mech. Min. Sci., 47(2), 286-298. https://doi.org/10.1016/j.ijrmms.2009.09.003
  12. Kachanov, M. (1980), "Continuum model of medium with cracks", Proc. of ASCE, Eng. Mech. Div., 106(EM5), 1039.
  13. Kanatani, K. (1985), "Measurement of particle orientation distribution by a stereological method", Part. Charact., 2, 31-37. https://doi.org/10.1002/ppsc.19850020106
  14. Kawamoto, T., Ichikawa, Y. and Kyoya, T. (1988), "Deformation and fracturing behavior of discontinuous rock mass and damage mechanics theory", Int. J. Numer. Anal. Method. Geomech., 12(1), 1-30. https://doi.org/10.1002/nag.1610120102
  15. Krech, W.W., Henderson, F.A. and Hjelmstad, K.E. (1974), A standard rock suite for rapid excavation research; US Bur Min Rep Invest, 7865.
  16. Kulatilake, P.H.S.W., Park, J. and Um, J.G. (2004), "Estimation of rock mass strength and deformability in 3-D for a 30 m cube at a depth of 485 m at A spo Hard Rock Laboratory", Geotech. Geol. Eng., 22(3), 313-330. https://doi.org/10.1023/B:GEGE.0000025033.21994.c0
  17. Love, A.E.H. (1944), A Treatise on the Mathematical Theory of Elasticity, (7th Edition), Dover Publications, New York, NY, USA.
  18. Min, K.B. and Jing, L. (2004), "Stress dependent mechanical properties and bounds of Poisson's ratio for fractured rock masses investigated by a DFN-DEM technique", In: Proceedings of Sinorock 2004 Symposium, Int. J. Rock Mech. Min. Sci., (J.A. Hudson and X.T. Feng Ed.), 41(3), Paper 2A 13.
  19. Nemat-Nasser, S. and Horri, H. (1983), "Rock failure in compression", Proceedings of the 9th Workshop Geothermal Reservoir Engineering, Stanford University, Stanford, CA, USA, December.
  20. Oda, M. (1982), "Fabric tensor for discontinuous geological materials", Soil Found., 22(4), 96-108. https://doi.org/10.3208/sandf1972.22.4_96
  21. Oda, M. (1983), "A new method for evaluating the effect of crack geometry on the mechanical behavior of cracked rock masses", Mech. Mater., 2(2), 163-171. https://doi.org/10.1016/0167-6636(83)90035-2
  22. Oda, M., Suzuki, K. and Maeshibu, T. (1984), "Elastic compliance for rock-like materials", Soils Found., 24(3), 27-40. https://doi.org/10.3208/sandf1972.24.3_27
  23. Oda, M., Yamabe, T. and Kamemura, K. (1986), "A crack tensor and its relation to wave velocity anisotropy in jointed rock masses", Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 23(6), 387-397. https://doi.org/10.1016/0148-9062(86)92304-1
  24. Oda, M., Katsube, T. and Takemura, T. (2002), "Microcrack evolution and brittle failure of Inada granite in triaxial compression tests at 140 MPa", J. Geophys. Res., 107(B10), 2233.
  25. Paulding, B.W. Jr. (1965), "Crack growth during brittle fracture in compression", Ph.D. Dissertation; Massachusetts Institute of Technology, Cambridge, MA, USA.
  26. Robinson, P.C. (1984), "Connectivity, flow and transport in network models of fractured media", Ph.D. Dissertation; Oxford University, Oxford, UK.
  27. Suzuki, K., Oda, M., Yamazaki, M. and Kuwahara, T. (1998), "Permeability changes in granite with crack growth during immersion in hot water", Int. J. Rock Mech. Min. Sci., 35(7), 907-921. https://doi.org/10.1016/S0148-9062(98)00016-3
  28. Takemura, T. and Oda, M. (2004), "Stereology-based fabric analysis of microcracks in damaged granite", Tectonophysics, 387(1-4), 131-150. https://doi.org/10.1016/j.tecto.2004.06.004
  29. Takemura, T., Golshani, A., Oda, M. and Suzuki, K. (2003), "Preferred orientations of open microcracks in granite and their relation with anisotropic elasticity", Int. J. Rock Mech. Min. Sci., 40(4), 443-454. https://doi.org/10.1016/S1365-1609(03)00014-5
  30. Walsh, J.B. (1965), "The effect of cracks on the uniaxial elastic compression of rock", J. Geophys. Res., 70(2), 399-411. https://doi.org/10.1029/JZ070i002p00399
  31. Wittke, W. (1990), Rock Mechanics-Theory and Applications with Case Histories, (R. Sykes Trans.), Springer, Berlin, Germany.
  32. Zhang, K., Zhou, H. and Shao, J. (2012), "An experimental investigation and an elastoplastic constitutive model for a porous rock", Rock Mech. Rock Eng., 46(6), 1499-1511.
  33. Zhou, X.P., Zhang, Y.X., Ha, Q.L. and Zhu, K.S. (2008), "Micromechanical modelling of the complete stress-strain relationship for crack weakened rock subjected to compressive loading", Rock Mech. Rock Eng., 41(5), 747-769. https://doi.org/10.1007/s00603-007-0130-2
  34. Zhou, J.W., Xu, W.Y. and Yang, X.G. (2010), "A microcrack damage model for brittle rocks under uniaxial compression", Mech. Res. Commun., 37(4), 399-405. https://doi.org/10.1016/j.mechrescom.2010.05.001

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