JOURNAL OF ROCK MECHANICS

JOURNAL OF ROCK MECHANICS

Investigating the Effect of Cutter Edge Shape on Rock Fragmentation Using PFC2D

Document Type : Original Article

Authors
Department of Mining Engineering, Hamedan University of Technology, Hamedan, Iran.
Abstract
In this study, the effect of the cutter tip shape on the rock crushing mechanism was investigated using the two-dimensional particle flow code (PFC2D). For this purpose, two numerical models with different tensile strengths of 5MPa and 25MPa were constructed and subjected to confining stresses of 5MPa and 20MPa, respectively. 8 cutters with different geometric shapes hit the rock surface at a rate of 0.02m/s until they penetrated 4mm into the rock. A total of 16 simulations were performed. The rock under the cutter shows three different mechanical behaviors, which are: a fractured area under the cutter, a plastic area with localized cracks under the fractured area, and an elastic area. When the rock tensile strength is 5MPa, the fracture stress from the concave-shaped blade is the lowest and the number of cracks is the highest. This means that in rock with a strength of 5MPa, the cutter shape has a great effect on the fracture stress and the extent of rock fracture. When the tensile strength of the rock is 25MPa, the U-shaped blade causes the most failure, but the failure stress of the blades is the same. This means that in rock with a strength of 25MPa, the cutting edge shape does not affect the failure stress but controls the fracture width. In general, the concave and U-shaped blades with the lowest stress consumption cause the most failure in rock with tensile strengths of 5MPa and 25MPa. With increasing tensile strength, the failure stress increases while the fracture width decreases.
Keywords

  1. Tarkoy, P.J. “Predicting TBM penetration rates in selected rock types,” In Proceedings, Ninth Canadian Rock Mechanics Symposium, Montreal.1973.
  2. Graham, P.C. “Rock exploration for machine manufacturers,”In Proceedings, Symposium on exploration for rock engineering, Johannesburg, 1976, 173-180. Rotterdam: Balkema.
  3. Bruland, A.; B. E. Johannessen; A. Lislerud; T. Movinkel; K. Myrvold; and O. Johannessen,“Hard rock tunnel boring,” Project report 1-88:].83 pp, Trondheim: Norwegian Institute of Technology. 1988.
  4. Innaurato, N.; R. Mancini; E. Rondena; and A. Zaninetti. “Forecasting and effective TBM performances in rapid excavation of a tunnel in Italy,” In 7th Internationaler Kongress uber Felsmechanik; Berichte, Aachen, Deutschland, Bd. 2 (W. Wittke, ed.), 9135-990. Rotterdam: Balkema, 1991.
  5. Chiaia, B, “Fracture mechanisms induced in a brittle material by a hard cutting indenter,’’ International Journal of Solids and Structure 38, 7747–7768, 2001.
  6. Qiu-Ming Gong, Jian Zhao, Yu-Yong Jiao,“Numerical modeling of the effects of joint orientation on rock fragmentation by TBM cutters,” Underground Technology and Rock Engineering Program, Protective Technology Research Centre and School of Civil and Environmental,2005.
  7. Q.M. Gong, Y.Y. Jiao, J. Zhao,“Numerical modelling of the effects of joint spacing on rock fragmentation by TBM cutters,” Underground Technology and Rock Engineering Program, Protective Technology Research Centre and School of Civil and Environmental, 2006.
  8. Hongsu Ma, “Numerical study of the effect of confining stress on rock fragmentation by TBM cutters,” State Key Laboratory of High-Efficient Mining and Safety of Metal Mines, Ministry of Education, University of Science and Technology Beijing, Beijing, 100083, PR China, 2011.
  9. Cundall, P.A., “A Computer Model for Simulating Progressive Large Scale Movements in Blocky Rock Systems”, Proceeding of 1st Symposium of the International Society of Rock Mechanics, Nancy, France, Paper No. II-8, 1971.
  10. Cundall P.A. and Strack, O., “A Discrete Element Model for Granular Assemblies.”Geotechnique, Vol. 29, pp. 47-65, 1979.
  11. Cundall, P. A. and Hart, R., “Numerical modeling of discontinua”, Journal of Engineering Computations, Vol. 9, pp. 101–13, 1992.
  12. Cook, B. K. and Jensen, R. P., “Discrete element methods: numerical modeling of discontinua”, Proceedings of the Third International Conference on Discrete Element Methods, American Society of Civil Engineers, Geotechnical Special Publication, No. 117, 2002.
  13. ASTM, 1971. Standard method of test for splitting tensile resistance of cylindrical concrete specimens. ASTM designation C496-71.
  14. Itasca Consulting Group Inc, “PFC2D/3D (Particle Flow Code in 2/3 Dimensions) User’s Guides” Minneapolis, MN, USA, 2004/2005.
  15. Jian S., Peng Z., “Stress and Wear Analysis of the Disc Cutter of Rock Tunnel Boring
  16. Machine”, The Open Mechanical Engineering Journal, 9, 721 – 725, 2015.
  17. Ma H., Yin L., “Numerical study of the effect of confining stress on rock fragmentation by TBM cutters”, International Journal of Rock Mechanics and Mining Sciences, 48(6) 1021- 1033, 2011.
  18. Lunow C., Konietzky H., “Two dimensional simulation of the pressing and the cutting rock destruction”, EURO: TUN 2009 2nd International Conference on Computational Methods in Tunnelling Ruhr University Bochum, 9-11 September 2009 Aedificatio Publishers, 1-4.
  19. Huang, H., Damjanac, B., and Detournay, E. “Normal wedge indentation in rocks with lateral confinement”. Rock Mech Rock Eng, 31(2): 81–94, 1998.