Skip to main content
Log in

Probabilistic Control Volume Method for Evaluating the Effects of Notch Size and Loading Type on Fatigue Life

  • Published:
Acta Mechanica Solida Sinica Aims and scope Submit manuscript

Abstract

The probabilistic control volume method has great prospects in correlating the effects of specimen size, notch and loading type on fatigue life or fatigue strength. In this work, the effects of notch size and loading type on fatigue life are investigated by using the probabilistic control volume method. Rotating bending and axial loading fatigue tests are at first performed on the hourglass specimen, circumferential V-notch specimen and V-notch plate specimen of 30CrMnSiA steel. Experimental results indicate that the notch reduces the fatigue strength of specimens in terms of nominal stress amplitude while in terms of local stress amplitude, the notch specimen could endure higher fatigue strength. Then, the probabilistic control volume method is used to evaluate the effects of notch size and loading type on fatigue life. It is shown that the probabilistic control volume method correlates well the effects of notch size and loading type on fatigue life, even for the local stress of the notch root exceeding the yield stress of the material.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Akiniwa Y, Miyamoto N, Tsuru H, Tanaka K. Notch effect on fatigue strength reduction of bearing steel in the very high cycle regime. Int J Fatigue. 2006;28:1555–65.

    Article  Google Scholar 

  2. Hertel O, Vormwald M. Statistical and geometrical size effects in notched members based on weakest-link and short-crack modelling. Eng Fract Mech. 2012;95:72–83.

    Article  Google Scholar 

  3. Wang R, Li D, Hu D, Meng F, Liu H, Ma Q. A combined critical distance and highly-stressed-volume model to evaluate the statistical size effect of the stress concentrator on low cycle fatigue of TA19 plate. Int J Fatigue. 2017;95:8–17.

    Article  Google Scholar 

  4. Leitner M, Vormwald M, Remes H. Statistical size effect on multiaxial fatigue strength of notched steel components. Int J Fatigue. 2017;104:322–33.

    Article  Google Scholar 

  5. Murakami Y, Yokoyama NN, Nagata J. Mechanism of fatigue failure in ultralong life regime. Fatigue Fract Eng Mater Struct. 2002;25:735–46.

    Article  Google Scholar 

  6. Nakajima M, Tokaji K, Itoga H, Shimizu T. Effect of loading condition on very high cycle fatigue behavior in a high strength steel. Int J Fatigue. 2010;32:475–80.

    Article  Google Scholar 

  7. Haritos GK, Nicholas T, Lanning DB. Notch size effects in HCF behavior of Ti-6Al-4V. Int J Fatigue. 1999;21:643–52.

    Article  Google Scholar 

  8. Lei Z, Xie J, Sun C, Hong Y. Effect of loading condition on very-high-cycle fatigue behavior and dominant variable analysis. Sci China Phys Mech Astron. 2014;57:74–82.

    Article  Google Scholar 

  9. Owolabi G, Okeyoyin O, Bamiduro O, Olasumboye A, Whitworth H. The effects of notch size and material microstructure on the notch sensitivity factor for notched components. Eng Fract Mech. 2015;145:181–96.

    Article  Google Scholar 

  10. Hu Y, Sun C, Xie J, Hong Y. Effects of loading frequency and loading type on high-cycle and very-high-cycle fatigue of a high-strength steel. Materials. 2018;11:1456.

    Article  Google Scholar 

  11. Neuber H. Theory of notch stresses: principles for exact calculation of strength with reference to structural form and material. 2nd ed. Berlin: Springer; 1958.

    Google Scholar 

  12. Peterson RE. Notch sensitivity. In: Sines G, Waisman JL, editors. Metal fatigue. New York: McGraw Hill; 1959. p. 293–306.

    Google Scholar 

  13. Kuguel RA. A relation between theoretical stress concentration factor and fatigue notch factor deduced from the concept of highly stressed volume. ASTM Proc. 1961;61:732–48.

    Google Scholar 

  14. Taylor D. Geometrical effects in fatigue: a unifying theoretical model. Int J Fatigue. 1999;21:413–20.

    Article  Google Scholar 

  15. Susmel L. The theory of critical distances: a review of its applications in fatigue. Eng Fract Mech. 2008;75:1706–24.

    Article  Google Scholar 

  16. Wang J, Yang X. HCF strength estimation of notched Ti-6Al-4V specimens considering the critical distance size effect. Int J Fatigue. 2012;40:97–104.

    Article  Google Scholar 

  17. Naik RA, Lanning DB, Nicholas T, Kallmeyer AR. A critical plane gradient approach for the prediction of notched HCF life. Int J Fatigue. 2005;27:481–92.

    Article  Google Scholar 

  18. Gallo P, Berto F, Lazzarin P. High temperature fatigue tests of notched specimens made of titanium Grade 2. Theor Appl Fract Mech. 2015;76:27–34.

    Article  Google Scholar 

  19. Sun C, Song Q. A method for evaluating the effects of specimen geometry and loading condition on fatigue life of metallic materials. Mater Res Express. 2019;6:046536.

    Article  Google Scholar 

  20. Sun C, Song Q. A method for predicting the effects of specimen geometry and loading condition on fatigue strength. Metals. 2018;8:811.

    Article  Google Scholar 

  21. Sun C, Zhang X, Liu X, Hong Y. Effects of specimen size on fatigue life of metallic materials in high-cycle and very-high-cycle fatigue regimes. Fatigue Fract Eng Mater Struct. 2016;39:770–9.

    Article  Google Scholar 

Download references

Acknowledgements

The authors would like to acknowledge the support from the Innovation Program (237099000000170004), the National Natural Science Foundation of China (91860112) and the Strategic Priority Research Program of the Chinese Academy of Sciences (XDB22020200).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chengqi Sun.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, C., Hu, Z., Sun, C. et al. Probabilistic Control Volume Method for Evaluating the Effects of Notch Size and Loading Type on Fatigue Life. Acta Mech. Solida Sin. 33, 141–149 (2020). https://doi.org/10.1007/s10338-019-00126-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10338-019-00126-2

Keywords

Navigation