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Effect of Cyclic Loading on the Shear Behaviours of Both Unfilled and Infilled Rough Rock Joints Under Constant Normal Stiffness Conditions

  • Guansheng Han
  • Hongwen Jing
  • Yujing JiangEmail author
  • Richeng Liu
  • Jiangyu Wu
Original Paper
  • 251 Downloads

Abstract

The present study experimentally investigated variations in the mechanical behaviours of natural rough rock joints during shearing under cyclic loading and constant normal stiffness conditions, using a servo-controlled shear testing apparatus. The influences of initial normal stress (σn0), normal stiffness (kn) and shear velocity (v) on the shear behaviours are estimated and analysed. The results show that the shear stress (τ), normal stress (σn) and normal displacement (δv) for both unfilled and infilled rock joints decrease with the increase in the number of cycles (N), especially in the N range of 1–2. This is because some asperities on the joint surface are sheared during the first shear process, and the subsequent shear tests for N > 2 were subjected to the frictional process. The σn0 and kn both contribute significantly to the variations in the shear behaviour of rock joints. For unfilled rock joints, increasing σn0 from 2 to 4 MPa increases the shear stress and normal stress by 128.5% and 106.5%, respectively, when shear displacement (δh) = 2 mm and N = 1. Increasing kn from 3 to 5 GPa/m enhances the shear stress and normal stress by 19.4% and 10.4%, respectively, when δh = 2 mm and N = 1. For infilled rock joints, the shear stress and normal stress increase with increasing σn0 when N < 5, and decrease first and then increase with increasing kn. The shear stress, normal stress and normal displacement for infilled rock joints increase with increasing v, especially in the v range of 1–2 mm/min. Finally, six empirical models are proposed to evaluate the shear stress, normal stress and normal displacement of the unfilled and infilled rock joints under cyclic loading and CNS conditions. These models take into account parameters such as σn0, kn, v, δh and N, and the experimental results agree well with the fitting results with the correlation coefficient R2 > 0.78. Using the proposed models, the fillings decrease the τ and σn by approximately 24.96–65.52% and 9.38–57.95%, respectively, while increasing the normal displacement (δv) by 0.5 mm on average during the entire shear process.

Keywords

Rock joint Surface roughness Shear Cyclic loading Constant normal stiffness 

Notes

Acknowledgements

This study is partially funded by the National Natural Science Foundation of China (Grant nos. 51734009 and 51709260), and Natural Science Foundation of Jiangsu Province, China (Grant no. BK20170276).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

References

  1. Adler PM, Thovert JF, Mourzenko VV (2013) Fractured porous media. Oxford University Press, OxfordGoogle Scholar
  2. Bahaaddini M (2017) Effect of boundary condition on the shear behaviour of rock joints in the direct shear test. Rock Mech Rock Eng 50(5):1141–1155CrossRefGoogle Scholar
  3. Barton N (1973) Review of a new shear-strength criterion for rock joints. Eng Geol 7(4):287–332CrossRefGoogle Scholar
  4. Belem T, Souley M, Homand F (2007) Modeling surface roughness degradation of rock joint wall during monotonic and cyclic shearing. Acta Geotech 2(4):227–248CrossRefGoogle Scholar
  5. Belem T, Souley M, Homand F (2009) Method for quantification of wear of sheared joint walls based on surface morphology. Rock Mech Rock Eng 42(6):883–910CrossRefGoogle Scholar
  6. Fathi A, Moradian Z, Rivard P, Ballivy G (2016) Shear mechanism of rock joints under pre-peak cyclic loading condition. Int J Rock Mech Min Sci 83:197–210CrossRefGoogle Scholar
  7. Fox DJ, Kana DD, Hsiung SM (1998) Influence of interface roughness on dynamic shear behavior in jointed rock. Int J Rock Mech Min Sci 35(7):923–940CrossRefGoogle Scholar
  8. Han G, Jing H, Jiang Y, Liu R, Su H, Wu J (2018a) The effect of joint dip angle on the mechanical behavior of infilled jointed rock masses under uniaxial and biaxial compressions. Processes 6(5):49CrossRefGoogle Scholar
  9. Han Z, Weatherley D, Puscasu R (2018b) Projected area-based strength estimation for jointed rock masses in triaxial compression. Comput Geotech 104:216–225CrossRefGoogle Scholar
  10. Heuze FE (1979) Dilatant effects of rock joints. In: Proc 4th ISRM congress, vol 1. Montreux, pp 169–175Google Scholar
  11. Homand F, Belem T, Souley M (2001) Friction and degradation of rock joint surfaces under shear loads. Int J Numer Anal Meth Geomech 25(10):973–999CrossRefGoogle Scholar
  12. Hutson RW, Dowding CH (1990) Joint asperity degradation during cyclic shear. Int J Rock Mech Min Sci Geomech Abstr Pergam 27(2):109–119CrossRefGoogle Scholar
  13. Indraratna B, Haque A, Aziz N (1999) Shear behaviour of idealized infilled joints under constant normal stiffness. Géotechnique 49(3):331–355CrossRefGoogle Scholar
  14. Indraratna B, Welideniya HS, Brown ET (2005) A shear strength model for idealised infilled joints under constant normal stiffness. Geotechnique 55(3):215–226CrossRefGoogle Scholar
  15. Indraratna B, Thirukumaran S, Brown ET, Zhu SP (2015) Modelling the shear behaviour of rock joints with asperity damage under constant normal stiffness. Rock Mech Rock Eng 48(1):179–195CrossRefGoogle Scholar
  16. Jaeger JC (1971) Friction of rocks and stability of rock slopes. Geotechnique 21(2):97–134CrossRefGoogle Scholar
  17. Jafari MK, Pellet F, Boulon M, Hosseini KA (2004) Experimental study of mechanical behaviour of rock joints under cyclic loading. Rock Mech Rock Eng 37(1):3–23CrossRefGoogle Scholar
  18. Jiang Y, Tanabashi Y, Mizokami T (2001) Shear behavior of joints under constant normal stiffness conditions. In: Proc ISRM 2001-2nd ARMS, Beijing, pp 247–50Google Scholar
  19. Jiang Y, Xiao J, Tanabashi Y, Mizokami T (2004) Development of an automated servo-controlled direct shear apparatus applying a constant normal stiffness condition. Int J Rock Mech Min Sci 41(2):275–286CrossRefGoogle Scholar
  20. Jiang Y, Li B, Tanabashi Y (2006) Estimating the relation between surface roughness and mechanical properties of rock joints. Int J Rock Mech Min Sci 43(6):837–846CrossRefGoogle Scholar
  21. Jing L, Stephansson O, Nordlund E (1993) Study of rock joints under cyclic loading conditions. Rock Mech Rock Eng 26(3):215–232CrossRefGoogle Scholar
  22. Johnston IW, Lam TSK, Williams AF (1987) Constant normal stiffness direct shear testing for socketed pile design in weak rock. Geotechnique 37(1):83–89CrossRefGoogle Scholar
  23. Kana DD, Fox DJ, Hsiung SM (1996) Interlock/friction model for dynamic shear response in natural jointed rock. Int J Rock Mech Min Sci Geomech Abstr Pergam 33(4):371–386CrossRefGoogle Scholar
  24. Lee HS, Park YJ, Cho TF, You KH (2001) Influence of asperity degradation on the mechanical behavior of rough rock joints under cyclic shear loading. Int J Rock Mech Min Sci 38(7):967–980CrossRefGoogle Scholar
  25. Li N, Chen W, Zhang P, Swoboda G (2001) The mechanical properties and a fatigue-damage model for jointed rock masses subjected to dynamic cyclical loading. Int J Rock Mech Min Sci 7(38):1071–1079CrossRefGoogle Scholar
  26. Li B, Jiang Y, Koyama T, Jing L (2008) Experimental study of the hydro-mechanical behavior of rock joints using a parallel-plate model containing contact areas and artificial fractures. Int J Rock Mech Min Sci 45(3):362–375CrossRefGoogle Scholar
  27. Li Y, Oh J, Mitra R, Hebblewhite B (2016) A constitutive model for a laboratory rock joint with multi-scale asperity degradation. Comput Geotech 72:143–151CrossRefGoogle Scholar
  28. Li Y, Wu W, Li B (2018) An analytical model for two-order asperity degradation of rock joints under constant normal stiffness conditions. Rock Mech Rock Eng 51(5):1431–1445CrossRefGoogle Scholar
  29. Liu R, Yu L, Jiang Y (2017a) Quantitative estimates of normalized transmissivity and the onset of nonlinear fluid flow through rough rock fractures. Rock Mech Rock Eng 50(4):1063–1071CrossRefGoogle Scholar
  30. Liu Y, Dai F, Fan P, Xu N, Dong L (2017b) Experimental investigation of the influence of joint geometric configurations on the mechanical properties of intermittent jointed rock models under cyclic uniaxial compression. Rock Mech Rock Eng 50(6):1453–1471CrossRefGoogle Scholar
  31. Liu Y, Dai F, Zhao T, Xu N (2017c) Numerical investigation of the dynamic properties of intermittent jointed rock models subjected to cyclic uniaxial compression. Rock Mech Rock Eng 50(1):89–112CrossRefGoogle Scholar
  32. Liu Y, Dai F, Dong L, Xu N, Feng P (2018) Experimental investigation on the fatigue mechanical properties of intermittently jointed rock models under cyclic uniaxial compression with different loading parameters. Rock Mech Rock Eng 51(1):47–68CrossRefGoogle Scholar
  33. Luo X, Jiang N, Wang M, Xu Y (2016) Response of leptynite subjected to repeated impact loading. Rock Mech Rock Eng 49(10):4137–4141CrossRefGoogle Scholar
  34. Mirzaghorbanali A, Nemcik J, Aziz N (2014) Effects of shear rate on cyclic loading shear behaviour of rock joints under constant normal stiffness conditions. Rock Mech Rock Eng 47(5):1931–1938CrossRefGoogle Scholar
  35. Oh J, Cording EJ, Moon T (2015) A joint shear model incorporating small-scale and large-scale irregularities. Int J Rock Mech Min Sci 76:78–87CrossRefGoogle Scholar
  36. Oh J, Li Y, Mitra R, Canbulat I (2017) A numerical study on dilation of a saw-toothed rock joint under direct shear. Rock Mech Rock Eng 50(4):913–925CrossRefGoogle Scholar
  37. Plesha ME (1987) Constitutive models for rock discontinuities with dilatancy and surface degradation. Int J Numer Anal Methods Geomech 11(4):345–362CrossRefGoogle Scholar
  38. Seidel JP, Haberfield CM (2002) A theoretical model for rock joints subjected to constant normal stiffness direct shear. Int J Rock Mech Min Sci 39(5):539–553CrossRefGoogle Scholar
  39. Shang J, West LJ, Hencher SR, Zhao Z (2018) Tensile strength of large-scale incipient rock joints: a laboratory investigation. Acta Geotech 13(4):869–886CrossRefGoogle Scholar
  40. Tse R, Cruden D (1979) Estimating joint roughness coefficients. Int J Rock Mech Min Sci Geomech Abstr 16(5):303–307CrossRefGoogle Scholar
  41. Wang G, Zhang X, Jiang Y, Wu X, Wang S (2016) Rate-dependent mechanical behavior of rough rock joints. Int J Rock Mech Min Sci 83:231–240CrossRefGoogle Scholar
  42. Wu B, Kanopoulos P, Luo X, Xia K (2014) An experimental method to quantify the impact fatigue behavior of rocks. Meas Sci Technol 25(7):075002CrossRefGoogle Scholar
  43. Wu J, Feng M, Yu B, Han G (2018a) The length of pre-existing fissures effects on the mechanical properties of cracked red sandstone and strength design in engineering. Ultrasonics 82(1):188–199CrossRefGoogle Scholar
  44. Wu X, Jiang Y, Li B (2018b) Influence of joint roughness on the shear behaviour of fully encapsulated rock bolt. Rock Mech Rock Eng 51(3):953–959CrossRefGoogle Scholar
  45. Yin Q, Ma G, Jing H, Wang H, Su H, Wang Y, Liu R (2017) Hydraulic properties of 3D rough-walled fractures during shearing: an experimental study. J Hydrol 555:169–184CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  • Guansheng Han
    • 1
    • 2
  • Hongwen Jing
    • 1
  • Yujing Jiang
    • 2
    Email author
  • Richeng Liu
    • 1
    • 2
  • Jiangyu Wu
    • 1
  1. 1.State Key Laboratory for Geomechanics and Deep Underground EngineeringChina University of Mining and TechnologyXuzhouChina
  2. 2.Graduate School of EngineeringNagasaki UniversityNagasakiJapan

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