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A numerical study on the fatigue and rolling contact fatigue behaviour of PVD-coated steel and titanium spur gears

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Abstract

Thin hard coatings deposited with physical vapor deposition (PVD) can enhance both the fatigue and the rolling contact fatigue resistance of mechanical components. In this work a cheap and fast way to evaluate the best parameter levels of coating and bulk material is proposed. Design of Experiments (DoE) was applied to the numerical results obtained from the simulation of meshing PVD-coated spur gears. Preliminary analyses were performed to assess the fatigue behaviour of PVD-coated standard specimens for rotating bending tests. The coating elastic modulus and thickness, and the trend of the residual stresses induced by the deposition process were considered among the variables affecting the fatigue and the rolling contact fatigue behaviour. Different bulk materials, including steel and titanium alloys, were analyzed. The proposed method may help to define the optimal coating design, especially when the replacement of traditional steels with light alloys constitutes a goal that is strongly recommended.

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Abbreviations

b :

Strength ductility exponent

c :

Fatigue ductility exponent

d inv :

Depth at which compressive stresses turn into tensile (mm)

E coat :

Coating elastic modulus (GPa)

E bulk :

Bulk material elastic modulus (GPa)

n :

Parameter of the Ramberg–Osgood equation

N f :

Number of load cycles until initial damage

t coat :

Coating thickness (μm)

α :

Parameter of the Ramberg–Osgood equation

∆ε :

Cyclic deformation amplitude

ε′ f :

Fatigue ductility coefficient

σ′ f :

Fatigue strength coefficient

σ res, sur :

Surface residual stress (MPa)

σ Y :

Material yield stress (MPa)

References

  1. Merlo AM (2003) The contribution of surface engineering to the product performance in the automotive industry. Surf Coat Technol 174(175):21–26

    Article  Google Scholar 

  2. Vetter J, Barbezat G, Crummenauer J, Avissar J (2005) Surface treatment selections for automotive applications. Surf Coat Technol 200:1962–1968

    Article  Google Scholar 

  3. Stewart S, Ahmed R (2002) Rolling contact fatigue of surface coatings—a review. Wear 235:1132–1144

    Article  Google Scholar 

  4. Kim KR, Suh CM, Murakami RI, Chung CW (2003) Effect of intrinsic properties of ceramic coatings on fatigue behaviour of Cr-Mo-V steels. Surf Coat Technol 171:15–23

    Article  Google Scholar 

  5. Inoue K, Lyu S, Deng G, Kato M (1996) Fracture mechanics based evaluation of the effect of the surface treatments on the strength of carburized gears. Proc. VDI Berichte 1320:357–369

    Google Scholar 

  6. Su YL, Yao SH, Wei CS, Kao WH, Wu CT (1999) Comparison of wear, tensile, and fatigue properties of PVD coated materials. Mater Sci Technol 15:73–77

    Article  Google Scholar 

  7. Baragetti S, La Vecchia GM, Terranova A (2003) Fatigue behaviour and FEM modelling of thin-coated components. Int J Fatigue 25:1229–1238

    Article  Google Scholar 

  8. Baragetti S, La Vecchia GM, Terranova A (2005) Variables affecting the fatigue resistance of PVD-coated components. Int J Fatigue 27(10–12):1541–1550

    Article  Google Scholar 

  9. Baragetti S (2007) Fatigue resistance of steel and titanium PVD coated spur gears. Int J Fatigue 29:1893–1903

    Article  MATH  Google Scholar 

  10. Puchi-Cabrera ES, Staia MH, Lesage J, Gil L, Villalobos-Gutiérrez C, La Barbera-Sosa J, Ochoa-Pérez EA, Le Bourhis E (2008) Fatigue behavior of AA7075–T6 aluminum alloy coated with ZrN by PVD. Int J Fatigue 30:1220–1230

    Article  Google Scholar 

  11. Baragetti S, Terranova A, Tordini F (2008) Contact fatigue behaviour of PVD-coated spur gears. Key Eng Mater 385–387:57–60

    Article  Google Scholar 

  12. Condra LW (1993) Reliability improvement with design of experiments. Marcel Dekker Inc., New York

    Google Scholar 

  13. Montgomery DC (1997) Design and analysis of experiments, 4th edn. John Wiley & Sons, New York

    Google Scholar 

  14. Taguchi G, Konishi S (1987) Taguchi methods orthogonal arrays and linear graphs: tools for quality engineering. American Supplier Institute, Center for Taguchi Methods

  15. Šraml M, Flašker J (2007) Computational approach to contact fatigue damage initiation analysis of gear teeth flanks. Int J Adv Manuf Technol 31:1066–1075

    Article  Google Scholar 

  16. Glodež S, Aberšek B, Flašker J, Ren Z (2004) Evaluation of the service life of gears in regard to surface pitting. Eng Fract Mech 71:429–438

    Article  Google Scholar 

  17. Sacks J, Welch WJ, Mitchell TJ, Wynn HP (1989) Design and analysis of computer experiments. Stat Sci 4(4):409–435

    Article  MATH  MathSciNet  Google Scholar 

  18. Currin C, Mitchell T, Morris M, Ylvisaker D (1991) Bayesian prediction of deterministic functions, with applications to the design and analysis of computer experiments. J Am Stat Assoc 86:953–963

    Article  MathSciNet  Google Scholar 

  19. Drignei D (2007) The computational order of a DACE dynamical model. Comput Stat Data Anal 51:3654–3665

    Article  MATH  MathSciNet  Google Scholar 

  20. Baragetti S (1997) Shot peening optimisation by means of ‘DoE’: numerical simulation and choice of treatment parameters. Int J Mater Prod Technol 12(2–3):83–109

    Google Scholar 

  21. Baragetti S, Terranova A (2000) Non-dimensional analysis of shot peening by means of DoE. Int J Mater Prod Technol 15(1–2):131–141

    Google Scholar 

  22. Djouadi MA, Nouveau C, Banakh O, Sanjinés R, Lévy F, Nouet G (2002) Stress profiles and thermal stability of CrxNy films deposited by magnetron sputtering. Surf Coat Technol 151–152:510–514

    Article  Google Scholar 

  23. American Society for Metals (1980) Metals Handbook, Properties and Selection: Stainless Steels, Tool Materials and Special-Purpose Metals, vol 3, 9th edn. ASM, Metals Park

    Google Scholar 

  24. Higashida Y, Burk JD, Lawrence FV (1978) Strain-controlled fatigue behaviour of ASTM A36 and A515, grade F steels and 5083-0 aluminium weld materials. Weld Res Suppl 5083:334s–344s

    Google Scholar 

  25. Madge JJ, Leen SB, Shipway PH (2007) The critical role of fretting wear in the analysis of fretting fatigue. Wear 263:542–551

    Article  Google Scholar 

  26. Salerno G, Magnabosco R, de Moura Neto C (2007) Mean strain influence in low cycle fatigue behaviour of AA7175-T1 aluminum alloy. Int J Fatigue 29:829–835

    Article  Google Scholar 

  27. Puchi-Cabrera ES, Matínez F, Herrera I, Berríos JA, Dixit S, Bhat D (2004) On the fatigue behavior of an AISI 316L stainless steel coated with a PVD TiN deposit. Surf Coat Technol 182:276–286

    Article  Google Scholar 

  28. Mendibide C, Steyer P, Fontaine J, Goudeau P (2006) Improvement of the tribological behaviour of PVD nanostratified TiN/CrN coatings—an explanation. Surf Coat Technol 201:4119–4124

    Article  Google Scholar 

  29. Baragetti S, Tordini F (2007) A numerical study of the fatigue behaviour of notched PVD-coated Ti-6Al-4V. Struct Durab Health Monit 3(3):165–176

    Google Scholar 

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Acknowledgments

The Authors wish to thank DUCATI CORSE srl for the data on the spur gears on which the analyses were carried out and eng. Stefano Cavalleri for his help in carrying out the numerical analyses.

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Correspondence to Federico Tordini.

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Baragetti, S., Tordini, F. A numerical study on the fatigue and rolling contact fatigue behaviour of PVD-coated steel and titanium spur gears. Engineering with Computers 27, 127–137 (2011). https://doi.org/10.1007/s00366-009-0167-9

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  • DOI: https://doi.org/10.1007/s00366-009-0167-9

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