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The Coupled Influence of Surface and Internal Crack Propagation on Rock Breakages by Indentations in Biaxial States

  • Research Article - Civil Engineering
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Abstract

To investigate the coupled influence of surface and internal crack propagation on rock breakages, indentation tests in biaxial states were conducted to generate various internal cracks and surface cracks that may determine the rock breakages between indenters. Crack observation shows that the increase in the maximum confinement (\(\sigma _{1})\) promotes surface crack propagation when the minimum confinement (\(\sigma _{2})\) is fixed; simultaneously, the initiation and the deflection angle of internal cracks increase. The increase in \(\sigma _{2}\) when \(\sigma _{1}\) is fixed restrains surface crack propagation, but hardly influences internal crack propagation. In addition, the propagation tendency of internal cracks in tests agrees well with previous studies and the tendency of surface crack propagation is validated by a theoretical analysis. Moreover, the following analysis demonstrates that the effective connection by internal cracks and the sufficient incisions by surface cracks significantly determine the chip and the groove formation. Obtained groove volumes indicate that groove volumes are positively related to the surface crack propagation.

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References

  1. Chen, L.H.; Labuz, J.F.: Indentation of rock by wedge-shaped tools. Int. J. Rock Mech. Min. Sci. 43(7), 1023–1033 (2006)

    Article  Google Scholar 

  2. Innaurato, N.; Oggeri, C.; Oreste, P.P.; Vinai, R.: Experimental and numerical studies on rock breaking with TBM tools under high stress confinement. Rock Mech. Rock Eng. 40(5), 429–451 (2007)

    Article  Google Scholar 

  3. Yin, L.J.; Gong, Q.M.; Ma, H.S.; Zhao, J.; Zhao, X.B.: Use of indentation tests to study the influence of confining stress on rock fragmentation by a TBM cutter. Int. J. Rock Mech. Min. Sci. 72, 261–276 (2014)

    Article  Google Scholar 

  4. Liu, J.; Cao, P.; Han, D.Y.: The influence of confining stress on optimum spacing of TBM cutters for cutting granite. Int. J. Rock Mech. Min. Sci. 88, 165–174 (2016)

    Article  Google Scholar 

  5. Ozdemir, L.; Wang, F.D.; Snyder, L.: Mechanical Tunnel Boring Prediction and Machine Design. Colorado School of Mines Press, Colorado (1979)

    Google Scholar 

  6. Gertsch, R.: Rock Toughness and Disc Cutting. University of Missouri, Rolla (2000)

    Google Scholar 

  7. Alehoseein, H.; Detournay, E.; Huang, H.: An analytical model for the indentation of rocks by blunt tools. Rock Mech. Rock Eng. 33(4), 267–284 (2000)

    Article  Google Scholar 

  8. Gong, Q.M.; Jiao, Y.Y.; Zhao, J.: Numerical modeling of the effects of joint spacing on rock fragmentation by TBM cutters. Tunn. Undergr. Space Technol. 21(1), 46–55 (2006)

    Article  Google Scholar 

  9. Gong, Q.M.; Zhao, J.; Jiao, Y.Y.: Numerical modeling of the effects of joint orientation on rock fragmentation by TBM cutters. Tunn. Undergr. Space Technol. 20, 183–191 (2005)

    Article  Google Scholar 

  10. Bejari, H.; Khademi, H.K.: Simultaneous effects of joint spacing and orientation on TBM cutting efficiency in jointed rock masses. Rock Mech. Rock Eng. 46, 897–907 (2013)

    Article  Google Scholar 

  11. Gertsch, R.; Gertsch, L.; Rostami, J.: Disc cutting tests in Colorado Red Granite: implications for TBM performance prediction. Int. J. Rock Mech. Min. Sci. 44(2), 238–246 (2007)

    Article  Google Scholar 

  12. Ma, H.S.; Yin, L.J.; Ji, H.G.: Numerical study of the effect of confining stress on rock fragmentation by TBM cutter. Int. J. Rock Mech. Min. Sci. 48, 1021–1033 (2011)

    Article  Google Scholar 

  13. Yagiz, S.: Assessment of brittleness using rock strength and density with punch penetration test. Tunn. Undergr. Space Technol. 24, 66–74 (2009)

    Article  Google Scholar 

  14. Gong, Q.M.; Yin, L.J.; She, Q.R.: TBM tunneling in marble rock masses with high in situ stress and large groundwater inflow: a case study in China. Bull. Eng. Geol. Environ. 72, 163–172 (2013)

    Article  Google Scholar 

  15. Liu, H.Y.; Kou, S.Q.; Lindqvist, P.A.; Tang, C.A.: Numerical simulation of the rock fragmentation process induced by indenters. Int. J. Rock Mech. Min. Sci. 39, 491–505 (2002)

    Article  Google Scholar 

  16. Zhang, H.; Huang, G.; Song, H.; Kang, Y.: Experimental investigation of deformation and failure mechanisms in rock under indentation by digital image correlation. Eng. Fract. Mech. 96, 667–675 (2012)

    Article  Google Scholar 

  17. Liu, J.; Cao, P.; Li, K.H.: A study on isotropic rock breaking with TBM cutters under different confining stresses. Geotech. Geol. Eng. 33(6), 1–16 (2015)

    Article  Google Scholar 

  18. Zhang, Y.B.; Tang, C.A.; Li, H.; Liang, Z.Z.; Tang, S.B.; Yang, Y.F.: Numerical investigation of dynamic crack branching under biaxial loading. Int. J. Fract. 176, 151–161 (2012)

    Article  Google Scholar 

  19. Bi, J.; Zhou, X.P.; Qian, Q.H.: The 3D numerical simulation for the propagation process of multiple pre-existing flaws in rock-like materials subjected to biaxial compressive loads. Rock Mech. Rock Eng. 49, 1611–1627 (2016)

    Article  Google Scholar 

  20. Li, X.; Du, K.; Li, D.: True triaxial strength and failure modes of cubic rock specimens with unloading the minor principal stress. Rock Mech. Rock Eng. 48(6), 2185–2196 (2015)

    Article  Google Scholar 

  21. Moon, T.; Oh, J.: A study of optimal rock-cutting conditions for hard rock TBM using the discrete element method. Rock Mech. Rock Eng. 45, 837–849 (2012)

    Google Scholar 

  22. Cho, J.W.; Jeon, S.; Jeong, H.Y.; Chang, S.H.: Evaluation of cutting efficiency during TBM disc cutter excavation within a Korean granitic rock using linear-cutting-machine testing and photogrammetric measurement. Tunn. Undergr. Space Technol. 35, 37–54 (2011)

    Article  Google Scholar 

  23. Zhao, Y.L.; Zhang, L.Y.; Wang, W.J.; Tang, J.Z.; Lin, H.; Wan, W.: Transient pulse test and morphological analysis of single rock fractures. Int. J. Rock Mech. Min. Sci. 19, 139–154 (2017)

    Article  Google Scholar 

  24. Manouchehrian, A.; Marji, M.F.: Numerical analysis of confinement effect on crack propagation mechanism from a flaw in a pre-cracked rock under compression. Acta. Mech. Sin. 28(5), 1389–1397 (2012)

    Article  Google Scholar 

  25. Huang, H.; Damjanal, B.; Detournay, E.: Normal wedge indentation in rocks with lateral confinement. Rock Mech. Rock Eng. 31(2), 81–94 (1998)

    Article  Google Scholar 

  26. Ashby, M.F.; Hallam, S.D.: The failure of brittle solids containing small cracks under compressive stress states. Acta metal. 34(3), 497–510 (1986)

    Article  Google Scholar 

Download references

Acknowledgements

The authors would like to express their gratitude to Reviewers and Editors for the hard work and beneficial comments on this study. Thanks Doctor Yu Chen for the suggestions in revision. The authors would like to acknowledge these financial supports: the Doctoral science fund in Hunan Institute of Engineering; the Postdoctoral science foundation in Hunan University of Science and Technology; Project (2016CX016) supported by Innovation Driven Plan of Central South University; and Projects supported by China Postdoctoral Science Foundation (2017M612557).

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Correspondence to Jie Liu or Jun Wang.

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Liu, J., Wang, J., Wan, W. et al. The Coupled Influence of Surface and Internal Crack Propagation on Rock Breakages by Indentations in Biaxial States. Arab J Sci Eng 43, 5067–5077 (2018). https://doi.org/10.1007/s13369-017-2930-3

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  • DOI: https://doi.org/10.1007/s13369-017-2930-3

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