Skip to main content
Log in

Rock deformation equations and application to the study on slantingly installed disc cutter

  • Research Paper
  • Solid Mechanics
  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

At present the mechanical model of the interaction between a disc cutter and rock mainly concerns indentation experiment, linear cutting experiment and tunnel boring machine (TBM) on-site data. This is not in line with the actual rock-breaking movement of the disc cutter and impedes to some extent the research on the rock-breaking mechanism, wear mechanism and design theory. Therefore, our study focuses on the interaction between the slantingly installed disc cutter and rock, developing a model in accordance with the actual rock-breaking movement. Displacement equations are established through an analysis of the velocity vector at the rock-breaking point of the disc cutter blade; the functional relationship between the displacement parameters at the rock-breaking point and its rectangular coordinates is established through an analysis of micro-displacement vectors at the rock-breaking point, thus leading to the geometric equations of rock deformation caused by the slantingly installed disc cutter. Considering the basically linear relationship between the cutting force of disc cutters and the rock deformation before and after the leap break of rock, we express the constitutive relations of rock deformation as generalized Hooke’s law and analyze the effect of the slanting installation angle of disc cutters on the rock-breaking force. This will, as we hope, make groundbreaking contributions to the development of the design theory and installation practice of TBM.

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. Balci, C., Tumac, D.: Investigation into the effects of different rocks on rock cuttability by a V-type disc cutter. Tunnelling and Underground Space Technology 30, 183–193 (2012)

    Article  Google Scholar 

  2. Bilgin, N., Copur, H., Balci, C.: Effect of replacing disc cutters with chisel tools on performance of a TBM in difficult ground conditions. Tunnelling and Underground Space Technology 27, 41–51 (2012)

    Article  Google Scholar 

  3. Phillips, H.R., Bilgin, N., Price, D.L.: The influence of tyre tip geometry on the design of disc cutter arrays. In: Proc. of the Third Australian Tunnelling Conference. The Institutions of Engineers, Australia, Sydney 48–52 (1978)

    Google Scholar 

  4. Roxborough, F.F., Phillips, H.R.: Rock excavation by disc cutter. International Journal of Rock Mechanics and Mining Sciences 12, 361–366 (1975)

    Google Scholar 

  5. Wang, F.D., Ozdemir, L.: Tunnel boring penetration rate and machine design. TRB Research Records, Tunnelling and Underground Structures 684, 21–28 (1978)

    Google Scholar 

  6. Snowdon, A.R., Ryley, D.M., Temporal, J.: Study of disc cutting in selected British rocks. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts 19, 107–121 (1983)

    Google Scholar 

  7. Zhang, Z.H., Sun, F.: The three-dimension model for the rock-breaking mechanism of disc cutter and analysis of rockbreaking forces. Acta Mech. Sin. 28, 675–682 (2012)

    Article  MathSciNet  Google Scholar 

  8. Rostami, J.: Hard rock TBM cutterhead modeling for design and performance prediction. Geomechanics and Tunnelling 1, 18–28 (2008)

    Article  MathSciNet  Google Scholar 

  9. Rostami, J., Ozdemir, L.: A new model for performance prediction of hard rock TBM. In: Proceedings of rapid excavation and tunneling conference. Society for Mining and Metallurgy and Exploration Inc., Boston, 791–809 (1993)

    Google Scholar 

  10. Gertsch, R., Gertsch, L., Rostami, J.: Disc cutting tests in colorado red granite: Implications for TBM performance prediction. International Journal of Rock Mechanics & Mining Sciences 44, 238–246 (2007)

    Article  Google Scholar 

  11. Acaroglu, O., Ozdemir, L., Asbury, B.: A fuzzy logic model to predict specific energy requirement for TBM performance prediction. Tunnelling and Underground Space Technology 23, 600–608 (2008)

    Article  Google Scholar 

  12. Zhang, Z.H., Liu, S.H.: Calculating method of rock strain loaded by disc cutter. Engineering Mechanics 27, 179–182 (2010) (in Chinese)

    MATH  Google Scholar 

  13. Zhang, Z.H., Ye, D.H., Yuan, X.: A study of rock mechanical properties under the effect of the wedge-shaped blade head. Journal of Basic Science and Engineering 19, 978–984 (2011) (in Chinese)

    Google Scholar 

  14. Zhang, Z.H., Hu, X.M., Meng, L., et al.: Theoretical analysis of efficiency of rock breaking by disc cutters. Journal of Basic Science and Engineering 20, 199–206 (2012) (in Chinese)

    Google Scholar 

  15. Zhang, Z.H., Zhang, D.K., Meng, L., et al.: Analysis of effects of rock interaction with disc cutter. Journal of Basic Science and Engineering 20, 207–214 (2012) (in Chinese)

    Article  Google Scholar 

  16. Zhang, Z.H., Meng, L., Sun, F.: Design theory of full face rock tunnel boring machine transition cutter edge angle and its application. Chinese Journal of Mechanical Engineering 26, 541–546 (2013)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhao-Huang Zhang.

Additional information

The project was supported by the National Natural Science Foundation of China (51075147) and 863 Project (2012AA041803).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, ZH., Meng, L. & Sun, F. Rock deformation equations and application to the study on slantingly installed disc cutter. Acta Mech Sin 30, 540–546 (2014). https://doi.org/10.1007/s10409-014-0056-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10409-014-0056-3

Keywords

Navigation