Skip to main content
Log in

Fractal analysis of wear topography of brazed polycrystalline cBN abrasive grains during grinding nickel super alloy

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

In order to characterize quantificationally the wear topography of the brazed polycrystalline cBN (PcBN) grains during grinding, the reconstruction model of grain topography is established through the photographs grasped with three-dimensional (3D) optical video microscope. The relationship between 3D fractal dimension and the complicated topography change of the PcBN grains is investigated based on fractal theory. The results obtained show that it is reasonable to calculate 3D fractal dimension according to the protrusion height of the abrasive grain. The fractal dimension of the grain wear topography formed due to microfracture is higher than that formed due to large fracture and attritious wear. The fractal dimension range of the wear topography of the brazed PcBN grains is limited to 2.0325–2.0475 with a concentrated value of 2.04 under the present experimental condition.

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. Dub SN, Petrusha IA (2006) Mechanical properties of polycrystalline cBN obtained from pyrolytic gBN by direct transformation technique. High Pres Res 26(2):71–77

    Article  Google Scholar 

  2. Ding WF, Xu JH, Chen ZZ, Su HH, Fu YC (2011) Grain wear of brazed polycrystalline cBN abrasive tools during constant-force grinding Ti-6Al-4V alloy. Int J Adv Manuf Technol 52:969–976

    Article  Google Scholar 

  3. Bhaskar P, Chattopadhyay AK, Chattopadhyay AB (2010) Development and performance evaluation of monolayer brazed cBN grinding wheel on bearing steel. Int J Adv Manuf Technol 48:935–944

    Article  Google Scholar 

  4. Ichida Y, Fujimoto M, Inoue Y, Matsui K (2010) Development of a high performance vitrified grinding wheel using ultrafine-crystalline cBN abrasive grains. J Adv Mech Des Syst Manuf 4:1005–1014

    Article  Google Scholar 

  5. Webster J, Tricard M (2004) Innovation in abrasive product for precision grinding. Annals of the CIRP 53(2):597–617

    Article  Google Scholar 

  6. Bhaduri D, Kumar R, Chattopadhyay AK (2011) On the grindability of low-carbon steel under dry, cryogenic and neat oil environments with monolayer brazed cBN and alumina wheels. Int J Adv Manuf Technol 57:927–943

    Article  Google Scholar 

  7. Zhang B, Ding WF, Xu JH, Pan Q, Shi YJ (2011) Self-sharpening abrasive composite bulks with PcBN grains. Key Eng Mater 487:220–224

    Article  Google Scholar 

  8. Linke B, Klocke F (2010) Temperatures and wear mechanisms in dressing of vitrified bonded grinding wheels. Int J Mach Tool Manuf 50:552–558

    Article  Google Scholar 

  9. Bewilogua K, Brauer G, Dietz A, Gabler J, Goch G, Karpuschewski B, Szyszka B (2009) Surface technology for automotive engineering. CIRP Ann Manuf Technol 58:608–627

    Article  Google Scholar 

  10. Mao C, Zhou ZX, Zhang J, Huang XM, Gu DY (2011) An experimental investigation of affected layers formed in grinding of AISI 52100 steel. Int J Adv Manuf Technol 54:515–523

    Article  Google Scholar 

  11. Abdolbamid A, Seyed MR, Abdolreza R (2010) Study on the rotary cup dressing of CBN grinding wheel and the grinding performance. Int J Adv Manuf Technol 47:1053–1063

    Article  Google Scholar 

  12. Yan L, Rong YM, Jiang F, Zhou ZX (2011) Three-dimension surface characterization of grinding wheel using white light interferometer. Int J Adv Manuf Technol 55:133–141

    Article  Google Scholar 

  13. Cai R, Rowe WB (2004) Assessment of vitrified CBN wheels for precision grinding. Int J Mach Tool Manuf 44:1391–1402

    Article  Google Scholar 

  14. Nasaki I (1996) Grinding process simulation based on the wheel topography measurement. CIRP Ann 45:347–350

    Article  Google Scholar 

  15. Jimoto M, Ichida Y, Sato R, Morimoto Y (2006) Characterization of wheel surface topography in cBN grinding. JSME Int J 49:106–113

    Article  Google Scholar 

  16. Stachowiak GW, Podsiadlo P (2001) Characterization and classification of wear particles and surfaces. Wear 249:194–200

    Article  Google Scholar 

  17. Sayles RS, Thomas TR (1978) Surface topography as a non-stationary random process. Nature 271:431–434

    Article  Google Scholar 

  18. Zahouni H, Vargiolu R, Loubet JL (1998) Fractal models of surface topography and contact mechanics. Math Comput Model 28:517–534

    Article  Google Scholar 

  19. Nayak PR (1971) Random process model of rough surfaces. J Lubr Technol Trans ASME 93:398–407

    Article  Google Scholar 

  20. Zahouani H, Vargiolu R, Kapsa PH, Loubat JL, Mathia TG (1998) Effect of lateral resolution on topographical images and three-dimensional functional parameters. Wear 219:114–123

    Article  Google Scholar 

  21. Podsiadlo P, Stachowiak GW (2000) Scale-invariant analysis of tribological surfaces, thinning films and tribological interfaces. Tribol Ser 38:546–557

    Google Scholar 

  22. Mandelbrot BB (1967) How long is the coast of Britain? Statistical self-similarity and fractional dimension. Science 156:636–638

    Article  Google Scholar 

  23. Mandelbrot BB, Passoja DE, Paullay AJ (1984) Fractal characterization of fracture surfaces of metals. Nature 308:1571–1572

    Article  Google Scholar 

  24. Panda CS, Richards LR (1987) Fractal characteristics of fractured surfaces. J Mater Sci Lett 6:295–297

    Article  Google Scholar 

  25. Florindo JB, Backes AR, Castro M, Bruno OM (2012) A comparative study on multiscale fractal dimension descriptors. Pattern Recognit Lett 33:798–806

    Article  Google Scholar 

  26. James GM, Davide M (2010) Fractal geometry in the nucleus. EMBO J 29(1):2–3

    Article  Google Scholar 

  27. Liang XH, Lin B, Han XS, Chen SG (2012) Fractal analysis of engineering ceramics ground surface. Appl Surf Sci 258:6406–6415

    Article  Google Scholar 

  28. Fiete GA, Lozanne AD (2010) Seeing quantum fractals. Science 327:652–653

    Article  Google Scholar 

  29. Zhang Y, Luo Y, Wang JF, Li Z (2001) Research on the fractal of surface topography of grinding. Int J Mach Tool Manuf 41:2045–2049

    Article  Google Scholar 

  30. Charkaluk E, Bigerelle M, Iost A (1998) Fractals and fracture. Eng Fract Mech 61:119–139

    Article  Google Scholar 

  31. Russ JC (1994) Fractal surfaces. Plenum Press, New York

    Book  Google Scholar 

  32. Peng Z, Kirk TB, Xu ZL (1997) The development of three-dimensional imaging techniques of wear particle analysis. Wear 203–204:418–424

    Article  Google Scholar 

  33. Podsiadlo P, Stachowiak GW (1997) Measurement and characterization of wear particle surface topography. Proceedings of the First World Tribology Congress, London Publications Ltd

  34. Fujimoto M, Ichida Y (2008) Micro fracture behavior of cutting edges in grinding using single crystal cBN grains. Diam Relat Mater 17:1759–1763

    Article  Google Scholar 

  35. Pande CS, Richards LR (1987) Fractal characteristics of fractured surfaces. J Mater Sci Lett 6:295–297

    Article  Google Scholar 

  36. Ichida Y, Sato R, Fujimoto M, Tanaka H (2008) Fractal analysis of grain cutting edge wear in superabrasive grinding. J Adv Mech Des Syst Manuf 2(4):640–650

    Article  Google Scholar 

  37. Ding WF, Xu JH, Chen ZZ, Fu YC, Su HH (2010) Relationship between embedding depth and residual stress in the cBN grain of monolayer brazed abrasive tools. J Mater Eng Perform 19(1):123–128

    Article  Google Scholar 

  38. Daniela H, Jan K (2009) Influence of vitrified bond structure on radial wear of cBN grinding wheels. J Mater Process Technol 209:5377–5386

    Article  Google Scholar 

  39. Jackson MJ (2004) Microscale wear of vitrified abrasive materials. J Mater Sci 39:2131–2143

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to W. F. Ding.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Miao, Q., Ding, W.F., Xu, J.H. et al. Fractal analysis of wear topography of brazed polycrystalline cBN abrasive grains during grinding nickel super alloy. Int J Adv Manuf Technol 68, 2229–2236 (2013). https://doi.org/10.1007/s00170-013-4823-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-013-4823-2

Keywords

Navigation