International Journal of Fracture

, Volume 135, Issue 1–4, pp L11–L18 | Cite as

Size and Scale Effects in Fretting Fatigue Thresholds

  • Daniele Dini
  • David Nowell
  • Alexander M. Korsunsky


Components subject to fretting experience a peculiar combination of loading conditions, where contact and classical fatigue interact intricately to produce failure. As a consequence, the prediction of fretting fatigue limit curves poses a challenge, in part due to the large number of parameters governing the phenomenon. This poses an obstacle to formulating efficient predictive approaches.

We demonstrate that these difficulties can be overcome successfully by means of a combination of experimental and computational approaches. Our analysis relies on various experimental data from Hertzian and ’flat and rounded’ contact pad specimens and different calculation procedures developed previously, which resulted in fretting threshold curves for specific loading conditions. The derivation of such thresholds is however rather lengthy, so that for the purposes of formulating design rules a more efficient ’master curve’ approach is proposed.

This paper presents comprehensive results on the application of an efficient and concise functional description of the fretting fatigue threshold curves based on the use of a ’multi-scaling power law’. The predictions encompass all of the results obtained for different loading conditions by the stress-based approach and by short crack arrest methodology.


fretting fatigue fatigue threshold scaling laws 


  1. Ciavarella, M. 2003A ‘crack-like’ notch analogue for a safe-life fretting fatigue design methodologyFatigue Fract. of Eng Mats and Structs2611591170Google Scholar
  2. Dini, D. and Nowell, D., ‘Prediction of the slip zone friction coefficient in flat and rounded contact’, Wear, 254, 3-4, 364-369, 2003.Google Scholar
  3. Dini D, Studies in fretting fatigue with particular application to almost complete contacts, D.Phil. thesis, University of Oxford, (2004).Google Scholar
  4. El Haddad, M.H., Topper, T.H., Smith, K.N. 1979Prediction of Non-Propagating cracksEngineering Fracture Mechanics11573584CrossRefGoogle Scholar
  5. Fouvry, S., Kapsa, P., and Vincent, L., ‘A multiaxial fatigue analysis of fretting contact taking into account the size effect’ pp. 167 to 182 of Fretting Fatigue: current technology and practices, ASTM STP 1367, D.W. Hoeppner, V. Chandrasekaran, and C.B. Elliott, Eds, ASTM, 2000.Google Scholar
  6. Giannakopoulos, A.E., Lindley, T.C., Suresh, S. 1998Aspects of equivalence between contact mechanics and fracture mechanics: theoretical connections and a life prediction methodology for fretting-fatigueActa Materiala46295567Google Scholar
  7. Hills, D.A., Nowell, D. 1994Mechanics of Fretting FatigueKluwer Academic PublishersDordrecht, The NetherlandsGoogle Scholar
  8. Hills, D.A., Kelly, P.A., Dai, D.N., Korsunsky, A.M. 1996Solutions of Crack Problems: The distributed dislocation techniqueKluwer Academic PublishersDordrecht The NetherlandsGoogle Scholar
  9. Kitagawa, H. and Takahashi, S., Applicability of fracture mechanics to very small cracks or cracks in the early stage. In Proc. 2nd Int. Conf. on Mech. behaviour of Matls., ASM, 627-631, 1976.Google Scholar
  10. Korsunsky, A.M., McGurk, M.R., Bull, S.J., Page, T.F. 1998On the hardness of coated systemsSurface & Coatings Technology99171183Google Scholar
  11. Korsunsky, A. M., and Botvina, L. R., Multi-scale failure of materials, OUEL Report 2267/03, Department of Engineering Science, University of Oxford, 2003.Google Scholar
  12. Nowell, D., Hills, D.A. 1987Open cracks at or near free edgesJournal of Strain Analysis22177186Google Scholar
  13. Nowell D., An analysis of fretting fatigue, D. Phil. thesis, University of Oxford, 1988.Google Scholar
  14. Nowell, D., Araújo, J.A. 1999Analysis of pad size effects in fretting fatigue using short crack arrest methodologiesInternational Journal of Fatigue21947956Google Scholar
  15. Waterhouse, R.B., Alley, M., Wear, 8, 112, 1965.Google Scholar

Copyright information

© Springer 2005

Authors and Affiliations

  • Daniele Dini
    • 1
  • David Nowell
    • 1
  • Alexander M. Korsunsky
    • 1
  1. 1.Department of Engineering ScienceUniversity of OxfordOxfordEngland

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