Geomechanics and Engineering

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Strain performance and fracture response characteristics of hard rock under cyclic disturbance loading

  • Cheng, Yun (School of Civil Engineering, Xi'an University of Architecture and Technology) ;
  • Song, Zhanping (School of Civil Engineering, Xi'an University of Architecture and Technology) ;
  • Song, Wanxue (School of Civil Engineering, Xi'an University of Architecture and Technology) ;
  • Li, Shuguang (Shaanxi Key Lab of Geotechnical and Underground Space Engineering) ;
  • Yang, Tengtian (Shaanxi Key Lab of Geotechnical and Underground Space Engineering) ;
  • Zhang, Zekun (School of Civil Engineering, Xi'an University of Architecture and Technology) ;
  • Wang, Tong (School of Civil Engineering, Xi'an University of Architecture and Technology) ;
  • Wang, Kuisheng (School of Civil Engineering, Xi'an University of Architecture and Technology)
  • Received : 2021.04.09
  • Accepted : 2021.09.23
  • Published : 2021.09.25
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Abstract

Fracture characteristics and damage mechanism of rock mass under cyclic loading and unloading is one of the basic research topics of rock mechanics. To study the deformation and fracture response characteristics of brittle hard rock under cyclic disturbance loading, cyclic loading and unloading tests were carried out at different loading and unloading rates, and the stress-strain curve shapes, modulus elastic, critical damage value, fracture characteristics and fractal dimension laws were analyzed. The results show that the loading and unloading effect has significant influence on stress-strain curve shape and fatigue life. The hysteresis loop is overdistributed from sparse to dense with increasing loading and unloading rate and fatigue life is significantly reduced. The loading and unloading action has a phased control effect on peak strength with a first increases and then decreases. The rock has a stable rupture type with a brittle strength about 1.16~31.07% of peak strength, and brittle strength indicates a brittle fracture. With increasing cycle number, loading elastic modulus and unloading elastic modulus firstly increase sharply then increase linearly and finally decrease gradually. The critical damage factor has an approximately linear relationship with loading and unloading rates. The rock mainly occurs oblique shear through and tension through ruptures, and the failure types changes from shear failure to tension failure excessively with increasing loading and unloading rate. The increased loading and unloading rate weakens the end constraint effect, the greater the loading and unloading rate, the more obvious the fragmentation degree, and the more significant the fragments uniformity. The fractal dimension is logarithmic function related to loading and unloading rate.

Keywords

Acknowledgement

The present work was supported by the National Natural Science Foundation of China (No. 5217080601, 51578447), the Science and Technology Innovation Team of Shaanxi Innovation Capability Support Plan (No. 2020TD005), and Shaanxi Province Housing and Rural Construction Science and Technology Plan (No. 2019-K39). The financial supports are gratefully acknowledged and the data are available for the journal.

References

  1. Bahaaddini, M., Sharrock, G. and Hebblewhite, B.K. (2013), "Numerical investigation of the effect of joint geometrical parameters on the mechanical properties of a non-persistent jointed rock mass under uniaxial compression", Comput. Geotech., 49, 206-225. https://doi.org/10.1016/j.compgeo.2012.10.012.
  2. Bahrani, N. and Kaiser, P.K. (2016), "Numerical investigation of the influence of specimen size on the unconfined strength of defected rocks", Comput. Geotech., 77, 56-67. https://doi.org/10.1016/j.compgeo.2016.04.004.
  3. Capuani, D. and Willis, J.R. (1997), "Wave propagation in elastic media with cracks part I: transient nonlinear response of a single crack", Eur. J. Mech. A/Solids, 16(3), 377-408. https://doi.org/10.1016/S0997-7538(99)80009-6.
  4. Cheng, Y., Song, Z.P., Jin, J.F., Wang, T. and Yang, T.T. (2020a), "Waveform characterisation and energy dissipation of stress wave based on modified SHPB tests", Geomech. Eng., 22(2), 187-196. https://doi.org/10.12989/gae.2020.22.2.187.
  5. Cheng, Y., Song, Z.P., Chang, X.X. and Wang, T. (2020b), "Energy evolution principles of shock - wave in sandstone under unloading stress", KSCE J. Civ. Eng., 24(10), 2912-2922. https://doi.org/10.1007/s12205-020-1691-9.
  6. Davies, E.D.H. and Hunter, S.C. (1963), "The dynamics compression testing of solids by the method of the split Hopkinson pressure bar", J. Mech. Phys. Solids, 11(1), 155-179. https://doi.org/10.1016/0022-5096(63)90050-4.
  7. Fan, S.Y., Song, Z.P., Zhang, Y.W. and Liu, N.F. (2020), "Case study of the effect of rainfall infiltration on a tunnel underlying the roadbed slope with weak inter-layer", KSCE J. Civ. Eng., 24(5), 1607-1619. https://doi.org/10.1007/s12205-020-1165-0.
  8. Hooker, J.N., Ruhl, M., Dickson, A.J., Hansen, L.N., Idiz, E., Hesselbo, S.P. and Cartwright, J. (2019), "Shale anisotropy and natural hydraulic fracture propagation: An example from the Jurassic (Toarcian) posidonienschiefer, Germany", J. Geophys. Res. Solid Earth, 125(3), 2019JB018442. https://doi.org/10.1029/2019JB018442.
  9. Kim, J.S., Kim, G.Y., Baik, M.H. and Cho, G.C. (2019), "A new approach for quantitative damage assessment of in-situ rock mass by acoustic emission", Geomech. Eng., 18(1), 11-20. https://doi.org/10.12989/gae.2019.18.1.011.
  10. Karma, A. and Lobkovsky, A.E. (2004), "Unsteady crack motion and branching in a phase-field model of brittle fracture", Phys. Rev. Lett., 92(24), 245510. https://doi.org/10.1103/PhysRevLett.92.245510.
  11. Komoroczi, A., Abe, S. and Urai, J.L. (2013), "Meshless numerical modeling of brittle-viscous deformation: first results on boudinage and hydrofracturing using a coupling of discrete element method (DEM) and smoothed particle hydrodynamics (SPH)", Comput. Geosci., 17(2), 373-390. https://doi.org/10.1007/s10596-012-9335-x.
  12. Liyanage, P.P., Gamage, R.P. and Xu, T. (2013), "UDEC and RFPA2D simulations on the influence of the geometry of partially-spanning joints on rock mechanical behaviour", Nouvelles Du College Deurope, 62-70. http://arrow.monash.edu/vital/access/manager/Repository/mona sh:1.
  13. Lemaitre, J. (1984), "How to use damage mechanics", Nucl. Eng. Des., 80(2), 233-245. https://doi.org/10.1016/0029-5493(84)90169-9.
  14. Li, Y.W., Jiang, Y.D., Yang, Y.M., Zhang, H.X., Ren, Z., Li, H.T. and Ma, Z.G. (2016), "Research on loading rate effect of uniaxial compressive strength of coal", J. Min. Safety Eng., 33(4), 754-760. https://doi.org/10.13545/j.cnki.jmse.2016.04.028 (in Chinese).
  15. Li, Y.S. (1995), "Experimental analysis on the mechanical effects of loading rates on red sandstone", J. Tongji Univ., 23(3), 265-269 (in Chinese).
  16. Qi, C.Z., Wang, M.Y. and Qian, Q.H. (2009), "Strain-rate effects on the strength and fragmentation size of rocks", Int. J. Impact Eng., 36(12), 1355-1364. https://doi.org/10.1016/j.ijimpeng.2009.04.008.
  17. Mlakar, V., Hassani, F.P. and Momayez, M. (1993), "Crack development and acoustic emission in potash rock", Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 30(3), 305-319. https://doi.org/10.1016/0148-9062(93)92732-6.
  18. Outer, A.D., Kaashoek, J.F. and Hack, H. (1995), "Difficulties with using continuous fractal theory for discontinuity surfaces", Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 32(1), 3-9. https://doi.org/10.1016/0148-9062(94)00025-X.
  19. Song, Z.P., Cheng, Y., Tian, X.X., Wang, J.B. and Yang, T.T. (2020), "Mechanical properties of limestone from Maixi tunnel under hydro-mechanical coupling", Arab. J. Geosci., 13(9), 1-11. https://doi.org/10.1007/s12517-020-05373-z.
  20. Sun, Y. and Yang, Y. (2021), "Energy and fatigue damage evolution of sandstone under different cyclic loading frequencies", Shock Vib., 1-9. https://doi.org/10.1155/2021/5585983.
  21. Stevens, J.L. and Holcomb, D.J. (1980), "A theoretical investigation of the sliding crack model of dilatancy", J. Geophys. Res., 85(B12), 7091-7100. https://doi.org/10.1029/JB085iB12p07091.
  22. Taheri, A., Zhang, Y.B. and Munoz, H. (2020), "Performance of rock crack stress thresholds determination criteria and investigating strength and confining pressure effects", Constr. Build. Mater., 243(1), 118263, https://doi.org/10.1016/j.conbuildmat.2020.118263.
  23. Wu, K., Shao, Z.S. and Qin, S. (2020), "An analytical design method for ductile support structures in squeezing tunnels", Arch. Civ. Mech. Eng., 20(3), 91-101. https://doi.org/10.1007/s43452-020-00096-0.
  24. Wu, K., Shao, Z.S., Qin, S., Zhao, N. and Chu, Z. (2021a), "An improved non-linear creep model for rock applied to tunnel displacement prediction", Int. J. Appl. Mech., 14, 1-9. https://doi.org/10.1142/S1758825121500958.
  25. Wu, K., Shao Z.S., Qin, S., Wei, W. and Chu, Z. (2021b), "A critical review on the performance of yielding supports in squeezing tunnels", Tunn. Undergr. Sp. Tech., 115, 103815. https://doi.org/10.1016/j.tust.2021.103815.
  26. Wu, K., Shao, Z.S., Sharifzadeh, M., Hong, S. and Qin, S. (2021c), "Analytical computation of support characteristic curve for circumferential yielding lining in tunnel design", J. Rock Mech. Geotech. Eng., 13(1), 1-9. https://doi.org/10.1016/j.jrmge.2021.06.001.
  27. Zhao, N., Shao, Z.S., Wu, K., Chu, Z. and Qin, S. (2021), "Time-dependent solutions for lined circular tunnels considering rockbolts reinforcement and face advancement effects", Int. J. Geomech., 21(10), 04021179. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002130.
  28. Zhou, Y., Su, S.R. and Ma, H.S. (2020), "Experimental research on elastic modulus evolution of chlorite phyllite under cyclic loading", J. Cent. South Univ. Nat. Sci., 51(3), 783-792 (in Chinese). https://doi.org/10.11817/j.issn.1672-7207.2020.03.024.