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Experimental study on three-point-bending characteristics of hard and soft rock-like materials under different loading rates

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Abstract

Bending failure is a common failure mode of layered rock mass. Making clear the mechanical behaviors and energy evolution characteristics of layered rock mass, it is beneficial to prevent geological disasters caused by the bending deformation of layered rock mass. In this study, the mechanical behaviors and energy evolution characteristics of hard and soft rocks by conducting the three-point-bending (TPB) test with different loading rates were investigated. The results show that as the loading rate increases, both the peak load of hard and soft rock increases, the peak displacement of hard rock decreases, while the peak displacement of soft rock increases. The horizontal crack width at the bottom of the sample of hard rock is greater than that of soft rock, but the instantaneous crack widths show opposite results. Both the failure pattern of hard rock and soft rock are the typical tensile fracture, yet the fracture surface of hard rock is denser and smoother than that of soft rock. For hard rock, the total input energy, elastic energy, and dissipated energy increase with the increase of loading rate. For soft rock, however, the total input energy and elastic energy increases, while the dissipated energy decreases. Under the TPB test, the peak load, displacement, instantaneous crack width, total input energy, elastic energy, and dissipated energy of both hard rock and soft rock present linear relationships with the common logarithm of the loading rate.

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References

  • Amini M, Ardestani A (2019) Stability analysis of the north-eastern slope of Daralou copper open pit mine against a secondary toppling failure. Eng Geol 249(31):89–101

    Article  Google Scholar 

  • Amini M, Sarfaraz H, Esmaeili K (2018) Stability analysis of slopes with a potential of slide-head-toppling failure. Int J Rock Mech Min Sci 121:112–108

    Google Scholar 

  • Chen GQ, Li TB, Guo F, Wang YK (2016) Brittle mechanical characteristics of hard rock exposed to moisture. Bull Eng Geol Environ 76(1):219–230

    Article  Google Scholar 

  • Chen Y, Zhu SY, Wang ZG, Li FL (2020) Deformation and failure of floor in mine with soft coal, soft floor, hard roof and varying thicknesses of coal seam. Eng Fail Anal 115:104653

    Article  Google Scholar 

  • Cho SH, Ogata Y, Kaneko K (2003) Strain-rate dependency of the dynamic tensile strength of rock. Int J Rock Mech Min Sci 40(5):763–777

    Article  Google Scholar 

  • Dai F, Xia KW, Tang LZ (2010) Rate dependence of the flexural tensile strength of Laurentian granite. Int J Rock Mech Min Sci 47(3):469–475

    Article  Google Scholar 

  • Fairhurst CE, Hudson JA (1993) Draft ISRM suggested method for the complete stress train curve for the intact rock in uniaxial compression. Int J Rock Mech Min Sci 36(3):279–289

    Google Scholar 

  • Feng XT, An HG (2004) Hybrid intelligent method optimization of a soft rock replacement scheme for a large cavern excavated in alternate hard and soft rock strata. Int J Rock Mech Min Sci 41:655–667

    Article  Google Scholar 

  • Feng WK, Huang RQ, Li TB (2012) Deformation analysis of a soft-hard rock contact zone surrounding a tunnel. Tunn Undergr Space Technol 32:190–197

    Article  Google Scholar 

  • Feng XW, Zhang N, Xue F, Xie ZZ (2019) Practices, experience, and lessons learned based on field observations of support failures in some Chinese coal mines. Int J Rock Mech Min Sci 123:123104097

    Article  Google Scholar 

  • Gao FQ, Stead D, Kang HP (2014) Simulation of roof shear failure in coal mine roadways using an innovative UDEC Trigon approach. Comput Geotech 61:33–41

    Article  Google Scholar 

  • Gong FQ, Zhao GF (2014) Dynamic indirect tensile strength of sandstone under different loading rates. Rock Mech Rock Eng 47:2271–2278

    Article  Google Scholar 

  • Huang RQ, Huang D (2014) Evolution of rock cracks under unloading condition. Rock Mech Rock Eng 47(2):453–466

    Article  Google Scholar 

  • Huang D, Li YR (2014) Conversion of strain energy in triaxial unloading tests on marble. Int J Rock Mech Min Sci 66:160–168

    Article  Google Scholar 

  • Jiang C, Zhao GF, Zhu JB, Zhao YX, Shen LM (2016) Investigation of dynamic crack coalescence using a gypsum-like 3D printing material. Rock Mech Rock Eng 49(10):83–98

    Article  Google Scholar 

  • Li HB, Li JC, Liu B, Li JR (2013) Direct tension test for rock material under different strain rates at quasi-static loads. Rock Mech Rock Eng 46:1247–1254

    Article  Google Scholar 

  • Liu J, Cao P, Liu J (2015) Influence of confining stress on fracture characteristics and cutting efficiency of TBM cutters conducted on soft and hard rock. J Cent South Univ 22:1947–1955

    Article  Google Scholar 

  • Liu X, Liu Z, Li X, Gong F, Du K (2020) Experimental study on the effect of strain rate on rock acoustic emission characteristics. Int J Rock Mech Min Sci 133:104420

    Article  Google Scholar 

  • Luo S, Gong FQ (2020) Linear energy storage and dissipation laws during rock fracture under three point flexural loading. Eng Fract Mech 234:107102

    Article  Google Scholar 

  • Ma ZY, Liao HJ, Dang FN (2014) Effect of intermediate principal stress on strength of soft rock under complex stress states. J Cent South Univ 21:1583–1593

    Article  Google Scholar 

  • Mohtarami E, Jafari A, Amini M (2014) Stability analysis of slopes against combined circular–toppling failure. Int J Rock Mech Min Sci 67:43–56

    Article  Google Scholar 

  • Moussaei N, Sharifzadeh M, Sahriar K, Khosravi MH (2019) A new classification of failure mechanisms at tunnels in stratified rock masses through physical and numerical modeling. Tunn Undergr Space Technol 91:103017

    Article  Google Scholar 

  • Shu PY, Li HH, Wang TT, Ueng TH (2018) Dynamic strength of rock with single planar joint under various loading rates at various angles of loads applied. J Rock Mech Geotech Eng 10(3):545–554

    Article  Google Scholar 

  • Tien YM, Tsao PF (2000) Preparation and mechanical properties of artifcial transversely isotropic rock. Int J Rock Mech Min Sci 37:1001–1012

    Article  Google Scholar 

  • Tu HL, Zhou H, Qiao CS, Gao Y (2020) Excavation and kinematic analysis of a shallow large-span tunnel in an upsoft/low-hard rock stratum. Tunn Undergr Space Technol 97:103245

    Article  Google Scholar 

  • Wang LP, Li N, Qi JL, Tian YZ, Xu SH (2019) A study on the physical index change and triaxial compression test of intact hard rock subjected to freeze-thaw cycles. Cold Reg Sci Technol 160:39–47

    Article  Google Scholar 

  • Wang X, Wang E, Liu X, Zhou X (2021) Failure mechanism of fractured rock and associated acoustic behaviors under different loading rates. Eng Fract Mech 247:107674

    Article  Google Scholar 

  • Wisetsaen S, Walsri C, Fuenkajorn K (2015) Effects of loading rate and temperature on tensile strength and deformation of rock salt. Int J Rock Mech Min Sci 73:10–14

    Article  Google Scholar 

  • Wu F, Liu T, Liu J, Tang X (2009) Excavation unloading destruction phenomena in rock dam foundations. Bull Eng Geol Environ 68(2):257–262

    Article  Google Scholar 

  • Wu J, Feng M, Han G, Yao B, Ni X (2019) Loading rate and confining pressure effect on dilatancy, acoustic emission, and failure characteristics of fissured rock with two pre-existing flaws. C R Mec 347(1):62–89

    Article  Google Scholar 

  • Xing Y, Huang B, Ning E, Zhao L, Jin F (2020) Quasi-static loading rate effects on fracture process zone development of mixed-mode (I-II) fractures in rock-like materials. Eng Fract Mech 240:107365

    Article  Google Scholar 

  • Xiong LX, Chen HJ (2020) Effects of high temperatures and loading rates on the splitting tensile strength of jointed rock mass. Geotech Geol Eng 38:1885–1898

    Article  Google Scholar 

  • Xiong YL, Ye GL, Zhu HH (2017) A unified thermo-elasto-viscoplastic model for soft rock. Int J Rock Mech Min Sci 93:1–12

    Article  Google Scholar 

  • Yang SQ, Chen M, Fang G (2018) Physical experiment and numerical modelling of tunnel excavation in slanted upper-soft and lower-hard strata. Tunn Undergr Space Technol 82:248–264

    Article  Google Scholar 

  • Yu L, Su H, Liu R (2017) Experimental study of the influence of loading rate on tensile mechanical behavior of sandstone damaged by blasting. Arab J Geosci 19:432

    Article  Google Scholar 

  • Zhang ZX, Kou SQ, Jiang LG, Lindqvist PA (2000) Effects of loading rate on rock fracture: fracture characteristics and energy partitioning. Int J Rock Mech Min Sci 37:745–762

    Article  Google Scholar 

  • Zhang Y, Zhang QY, Zhou XY (2021) Direct tensile tests of red sandstone under different loading rates with the self-developed centering device. Geotech Geol Eng 39:709–718

    Article  Google Scholar 

  • Zhao K, Yu X, Zhou Y, Wang Q (2020) Energy evolution of brittle granite under different loading rates. Int J Rock Mech Min Sci 132:104392. https://doi.org/10.1016/j.ijrmms.2020.104392

    Article  Google Scholar 

  • Zheng Y, Chen CX, Liu TT, Zhang HN, Xia KZ, Liu F (2018) Study on the mechanisms of flexural toppling failure in anti-inclined rock slopes using numerical and limit equilibrium models. Eng Geol 237(10):116–128

    Article  Google Scholar 

  • Zhou YQ, Sheng Q, Li N, Fu DX (2020) The influence of strain rate on the energy characteristics and damage evolution of rock materials under dynamic uniaxial compression. Rock Mech Rock Eng 53:3823–3834

    Article  Google Scholar 

  • Zhu WC, Niu LL, Li SH, Xu ZH (2015) Dynamic Brazilian test of rock under intermediate strain rate: pendulum Hammer-Driven SHPB test and numerical simulation. Rock Mech Rock Eng 48:1867–1881

    Article  Google Scholar 

Download references

Funding

This work is supported by the National Natural Science Foundation of China (Nos. 41972297), and the Supporting program of hundred promising innovative talents in Hebei provincial education office (No. SLRC2019027).

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Correspondence to Yang Liu.

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The authors declare that they have no competing interests.

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Responsible Editor: Zeynal Abiddin Erguler

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Huang, D., Liu, Y., Yang, Y. et al. Experimental study on three-point-bending characteristics of hard and soft rock-like materials under different loading rates. Arab J Geosci 14, 1951 (2021). https://doi.org/10.1007/s12517-021-08284-9

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  • DOI: https://doi.org/10.1007/s12517-021-08284-9

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