Rock Mechanics and Rock Engineering

, Volume 45, Issue 5, pp 677–693 | Cite as

A Study of the Failure Mechanism of Planar Non-Persistent Open Joints Using PFC2D

  • A. Ghazvinian
  • V. Sarfarazi
  • W. Schubert
  • M. Blumel
Original Paper

Abstract

Particle flow code 2D (PFC2D) was adopted to simulate the shear behavior of rocklike material samples containing planar non-persistent joints. Direct shear loading was conducted to investigate the effect of joint separation on the failure behavior of rock bridges. Initially calibration of PFC was undertaken with respect to the data obtained from experimental laboratory tests to ensure the conformity of the simulated numerical models response. Furthermore, validation of the simulated models were cross checked with the results of direct shear tests performed on non-persistent jointed physical models. Through numerical direct shear tests, the failure process was visually observed, and the failure patterns were found reasonably similar to the experimentally observed trends. The discrete element simulations demonstrated that the macro-scale shear zone resulted from the progressive failure of the tension-induced micro-cracks. The failure pattern was mostly influenced by joint separation, while the shear strength was linked to the failure pattern and failure mechanism. Furthermore, it was observed that the failure zone is relatively narrow and has a symmetrical pattern when rock bridges occupy a low percentage of the total shear surface. This may be due to the high stress interactions between the subsequent joints separated by a rock bridge. In contrast, when rock bridges are occupying sufficient area prohibiting the stress interactions to occur then the rupture of surface is more complex and turns into a shear zone. This zone was observed to be relatively thick with an unsymmetrical pattern. The shear strength of rock bridges is reduced by increasing the joint length as a result of increasing both the stress concentration at tip of the joints and the stress interaction between the joints.

Keywords

Particle flow code Non-persistent joint Rock bridge Joint separation Shear and tensile cracks 

Notes

Acknowledgment

The support received from the Graz University of Technology, Graz, Austria, is thankfully acknowledged.

References

  1. Bobet A, Einstein HH (1998) Fracture coalescence in rock-type materials under uniaxial and biaxial compression. Int J Rock Mech Min Sci 35:863–888CrossRefGoogle Scholar
  2. Cho N, Martin CD, Sego DC (2007) A clumped particle model for rock. Int J Rock Mech Min Sci 44:997–1010CrossRefGoogle Scholar
  3. Cho N, Martin CD, Sego DC (2008) Development of a shear zone in brittle rock subjected to direct shear. Int J Rock Mech Min Sci 45:1335–1346CrossRefGoogle Scholar
  4. Cundall P (1971) A computer model for simulating progressive large scale movements in blocky rock systems. In: Proceedings of the symposium of international society of rock mechanics, vol 1. Nancy, France. Paper no. II-8Google Scholar
  5. Diederichs MS (2002) Stress induced accumulation and implications for hard rock engineering. In: Hammah R, Bawden WF, Curran J, Telesnicki M (eds). Proc NARMS. University Toronto Press, pp 3–14Google Scholar
  6. Einstein HH, Veneziano D, Baecher GB, O’Reilly KJ (1983) The effect of discontinuity persistence on rock slope stability. Int J Rock Mech Min Sci Geomech Abstr 20(5):227–236CrossRefGoogle Scholar
  7. Fakhimi A, Carvalho F, Ishida T, Labuz JF (2002) Simulation of failure around a circular opening in rock. Int J Rock Mech Min Sci 39:507–515CrossRefGoogle Scholar
  8. Ghazvinian A, Nikudel MR, Sarfarazi V (2007) Effect of rock bridge continuity and area on shear behavior of joints. In: 11th congress of the international society for rock mechanics, Lisbon, PortugalGoogle Scholar
  9. Glynn EF, Veneziano D, Einstein HH (1978) The probabilistic model for shearing resistance of jointed rock. In: Proceedings of the 19th US symposium on rock mechanics, Stateline, Nevada, pp 66–76Google Scholar
  10. Hentz S, Daudeville L, Donze F (2004) Identification and validation of a discrete element model for concrete. J Eng Mech 130(6):709–719CrossRefGoogle Scholar
  11. Itasca Consulting Group Inc (2004) Particle flow code in 2-dimensions (PFC2D), Version 3.10, MinneapolisGoogle Scholar
  12. Lajtai EZ (1969a) Strength of discontinuous rocks in direct shear. Geotechnique 19:218–332CrossRefGoogle Scholar
  13. Lajtai EZ (1969b) Shear strength of weakness planes in rock. Int J Rock Mech Min Sci 6:499–515CrossRefGoogle Scholar
  14. Potyondy DO, Cundall PA (2004) A bonded-particle model for rock. Int J Rock Mech Min Sci 41(8):1329–1364CrossRefGoogle Scholar
  15. Scavia C (1999) The displacement discontinuity method for the analysis of rock structures: a fracture mechanic. In: Aliabadi MH (ed) Fracture of Rock. WIT press, Computational Mechanics Publications, Boston, pp 39–82Google Scholar
  16. Scavia C, Castelli M (1996) In: Barla G (ed) Analysis of the propagation of natural discontinuities in rock bridges, EUROCK’98. Balkema, Rotterdam, pp 445–451Google Scholar
  17. Tang CA, Yang WT, Fu YF, Xu XH (1998) A new approach to numerical method of modelling geological processes and rock engineering problems-continuum to discontinuum and linearity to nonlinearity. Eng Geol 49:207–214CrossRefGoogle Scholar
  18. Vasarhelyi B, Bobet A (2000) Modeling of crack initiation, propagation and coalescence in uniaxial compression. Rock Mech Rock Eng 33(2):119–139CrossRefGoogle Scholar
  19. Wang C, Tannant DD (2004) Rock fracture around a highly stressed tunnel and the impact of a thin tunnel liner for ground control. Int J Rock Mech Min Sci 41:676–683CrossRefGoogle Scholar
  20. Wong RHC, Chau KT (1998) Crack coalescence in rock-like material containing two cracks. Int J Rock Mech Min Sci 35:147–164CrossRefGoogle Scholar
  21. Wong RHC, Chau KT, Tsoi PM, Tang CA (1999) Pattern of coalescence of rock bridge between two joints under shear testing. In: Vouile G, Berest P (eds). The 9th international congress on rock mechanics, Paris, pp 735–738Google Scholar
  22. Wong RHC, Leung WL, Wang SW (2001) Shear strength study on rock-like models containing arrayed open joints. In: Elsworth D, Tinucci JP, Heasley KA (eds) Rock mechanics in the national interest. Swets & Zeitlinger Lisse, The Netherland, pp 843–9 (ISBN:90-2651-827-7)Google Scholar
  23. Yoon J (2004) Application of experimental design and optimization to PFC model calibration in uniaxial compression simulation. Int J Rock Mech Min Sci 44:871–889Google Scholar
  24. Zhang HQ, Zhao ZY, Tang CA, Song L (2006) Numerical study of shear behavior of intermittent rock joints with different geometrical parameters. Intl J Rock Mech Min Sci 43:802–816CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • A. Ghazvinian
    • 1
  • V. Sarfarazi
    • 1
  • W. Schubert
    • 2
  • M. Blumel
    • 2
  1. 1.Rock Mechanics DivisionTarbiat Modares UniversityTehranIran
  2. 2.Institute for Rock Mechanics and TunnellingGraz University of TechnologyGrazAustria

Personalised recommendations