Skip to main content
Log in

The Effects of Three-Dimensional Penny-Shaped Cracks on Zonal Disintegration of the Surrounding Rock Masses Around a Deep Circular Tunnel

  • Published:
Acta Mechanica Solida Sinica Aims and scope Submit manuscript

Abstract

In this study, it was assumed that three-dimensional penny-shaped cracks existed in deep rock masses. A new non-Euclidean model was established, in which the effects of penny-shaped cracks and axial in-situ stress on zonal disintegration of deep rock masses were taken into account. Based on the non-Euclidean model, the stress intensity factors at tips of the penny-shaped cracks were determined. The strain energy density factor was applied to investigate the occurrence of fractured zones. It was observed from the numerical results that the magnitude and location of fractured zones were sensitive to micro- and macro-mechanical parameters, as well as the value of in-situ stress. The numerical results were in good agreement with the experimental data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Cloete, D.R. and Jager, A.J., The Nature of the Fracture Zone in Gold Mines as Revealed by Diamond Core Drilling. Association of Mine Managers, Papers and Discussions, 1972–1973.

  2. Adms, G.R.and Jager, A.J., Petroscopic observations of rock fracturing ahead of stope faces in deep-level gold mine. Journal of the South African Institute of Mining and Metallurgy, 1980, 80(6): 204–209.

    Google Scholar 

  3. Tropp, E. A., Rozenbaum, M. A., Reva, V.N. and Glushikhin, F.P., Disintegration Zone of Rocks around Workings at Large Depths. Preprint No. 976, Yoffe Physicotechnical Institute, Acadamic of Science of the USSR, Leningrad, 1985.

  4. Shemyakin, E.I., Fisenko, G.L., Kurlenya, M.V., Oparin, V.N. and Reva, V.N., Zonal disintegration of rocks around under-ground workings, part I: data of in-situ observations. Journal of Mining Science, 1986, 22(3): 157–168.

    Google Scholar 

  5. Shemyakin, E.I., Fisenko, G.L., Kurlenya, M.V., Oparin, V.N. and Reva, V.N., Zonal disintegration of rocks around underground workings, part II: rock fracture simulated in equivalentmaterials. Journal of Mining Science, 1986, 22(4): 223–232.

    Google Scholar 

  6. Reva, V.N. and Tropp, E.A., Elastoplastic model of the zonal disintegration of the neighborhood of an underground working. In: Physics and Mechanics of Rock Fracture as Applied to Prediction of Dynamic Phenomena (Collected Scientific Papers), Mine Surveying Institue, Saint Petersburg, 1995.

  7. Guzev, M.A. and Paroshin, A.A., Non-euclidean model of the zonal disintegration of rocks around an underground working. Journal of Applied Mechanics and Technical Physics, 2001, 42(1): 131–139.

    Article  Google Scholar 

  8. Zhou, X.P., Song, H.F. and Qian, Q.H., Zonal disintegration of deep crack-weakened rock masses: A non-Euclidean model. Theoretical and Applied Fracture Mechanics, 2011, 55(3): 227–236.

    Article  Google Scholar 

  9. Qian, Q., Zhou, X. and Xia, E., Effects of the axial in situ stresses on the zonal disintegration phenomenon in the surrounding rock masses around a deep circular tunnel. Journal of Mining Science, 2012, 48(2): 88–97.

    Article  Google Scholar 

  10. Guzev, M A., Structure of kinematic and force fields in the Riemannian continuum model. Journal of Applied Mechanics and Technical Physics, 2011, 52(5): 709–716.

    Article  MathSciNet  Google Scholar 

  11. Zhou, X.P., Chen, G. and Qian, Q.H., Zonal disintegration mechanism of cross-anisotropic rock masses around a deep circular tunnel. Theoretical and Applied Fracture Mechanics, 2012, 57(1): 49–54.

    Article  Google Scholar 

  12. Zhou, X.P., Wang, F.H., Qian, Q.H. and Zhang, B.H., Zonal fracturing mechanism in deep crack-weakened rock masses. Theoretical and Applied Fracture Mechanics, 2008, 50(1): 57–65.

    Article  Google Scholar 

  13. Zhou, X.P., Qian, Q.H. and Zhang, B.H., Zonal disintegration mechanism of deep crack-weakened rock masses under dynamic unloading. Acta Mechanica Solida Sinica, 2009, 22(3): 240–250.

    Article  Google Scholar 

  14. Qian, Q.H., Zhou, X.P., Yang, H.Q., Zhang, Y.X. and Li, X.H., Zonal disintegration of surrounding rock mass around the diversion tunnels in Jinping II Hydropower Station, Southwestern China. Theoretical and Applied Fracture Mechanics, 2009, 51(2): 129–138.

    Article  Google Scholar 

  15. Yu, S.W. and Feng, X.Q., A micromechanics-based damage model for microcrack-weakened brittle solids. Mechanics of Materials, 1995, 20(1): 59–76.

    Article  Google Scholar 

  16. Tada, H., The Stress Analysis of Cracks Handbook. Del Research Corporation., Paris, 1973.

  17. Sih, G.C., A special theory of crack propagation: methods of analysis and solutions of crack problems. In: G.C.Sih, Editors, Mechanics of Fracture I, Noordhoof, Leyden, 1973.

    MATH  Google Scholar 

  18. Sih, G.C., Mechanics of Fracture Initiation and Propagation. Kluwer Academic Publishers, Netherlands, 1991.

    Book  Google Scholar 

  19. Horii, H. and Nemat-Nasser, S., Compressive-induced microcrack growth in brittle solids: axial splitting and shear failure. Journal of Geophysical Research, 1985, 90: 3105–3125.

    Article  Google Scholar 

  20. Fannella, D. and Krajcinovic, D., A micromechanical model for concrete in compression. Engineering Fracture Mechanics, 1988, 29: 59–66.

    Google Scholar 

  21. Zaitsev, Y.B., Crack propagation in a composite material. In: F.H. Wittmann editor, Fracture Mechanics of Concrete, Elsevier, Amsterdam, 1983: 31–60.

  22. Kanninen, M.F. and Popelor, C.P., Advanced Fracture Mechanics. Oxford University Press, London, 1985.

    Google Scholar 

  23. Lee, X. and Ju, J.W., Micromechanical damage models for brittle solids II: compressive loadings. Journal of Engineering Mechanics, 1991, 117(7): 1515–1536.

    Article  Google Scholar 

  24. Cheng, X.G. and Zhang, Q.Y., Mechanism analysis of phenomenon of zonal disintegration in deep tunnel model test under high geostress. Rock and Soil Mechanics, 2011, 32(1): 84–90 (in Chinese).

    MathSciNet  Google Scholar 

  25. Zhang, Q.Y., Chen, X.G., Lin, B., Liu, D.J. and Zhang, N., Study of 3D geomechanical model test of zonal disintegration of surrounding rock of deep tunnel. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(9): 1757–1766 (in Chinese).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qihu Qian.

Additional information

This work was supported by the 973 Project (No. 2014CB046903), the National Natural Science Foundation of China (Nos. 51325903 and 51279218), the Natural Science Foundation Project of CQ CSTC (Nos. CSTC2013KJRC1JRCCJ30001 and CSTC2013JCYJYS0005).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhou, X., Qian, Q. & Song, H. The Effects of Three-Dimensional Penny-Shaped Cracks on Zonal Disintegration of the Surrounding Rock Masses Around a Deep Circular Tunnel. Acta Mech. Solida Sin. 28, 722–734 (2015). https://doi.org/10.1016/S0894-9166(16)30012-X

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S0894-9166(16)30012-X

Key Words

Navigation