Skip to main content
SpringerLink
Log in

Prediction of the fatigue life of a notched body by the local stress-strain state. Part 1. Determination of stresses and strains in a notch under elastoplastic cyclic deformation

  • Scientific and Technical Section
  • Published:
Strength of Materials Aims and scope

Abstract

We have carried out an experimental investigation of local strains in specimens with various stress concentrators under cyclic and monotonic loading conditions. The strains in notches were measured by a strain gauge with a small nominal length. Using the test results for, smooth specimens, we have plotted cyclic stress-strain diagrams for steel and two aluminum alloys. The values of the full strain amplitude calculated by the known approximate methods were compared with experimental data. The Neuber formula with the Makhutov correction function has been found to ensure the best agreement with the experimental data. We have given recommendations regarding the application of this function for calculating the local strain amplitudes under loads corresponding to high-cycle fatigue and to a region of transition from low- to high-cycle fatigue.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. N. E. Dowling, “A review of fatigue life prediction methods”,SAE Tech. Pap. Ser., No. 871966, 1–22 (1987).

  2. H. F. Hardrath and L. Ohman,A Study of the Elastic and Plastic Stress Concentration Factors due to Notches and Fillets in Flat Plates, NASA, TN 2566 (1951).

  3. I. A. Birger, “Prediction, of low-cycle fatigue life”,Probl. Prochn. No. 10, 39–44 (1985).

    Google Scholar 

  4. G. Glinka, “Analysis of local strains and stresses and prediction of fatigue life”, in:Mechnical Fatigue of Metals. Proc. VI Inter. Colloquium [in Russian], Naukova Dumka, Kiev (1981), pp. 54–60.

    Google Scholar 

  5. J. Polak, “Equivalent energy approach to stress and strain concentration factors”,Kovove Mater. 14, 329–340 (1982).

    Google Scholar 

  6. H. Neuber, “Theory of stress concentration for shear-strained prismatical bodies with arbitrary nonlinear stress-strain law”,Trans. ASME, J. Appl. Mech.,28, 544–550 (1961).

    Google Scholar 

  7. N. A. Makhutov,Strain Criteria of Fracture and Strength Analysis of Structural Components [in Russian], Mashinostroenie, Moscow (1981).

    Google Scholar 

  8. V. T. Troshchenko (Ed.),Cyclic Strains and Fatigue of Metals. In 2 Volumes. Vol. 1:Low- and High-Cycle Fatigue of Metals, [in Russian]., Naukova Dumka, Kiev (1985).

    Google Scholar 

  9. G. A. Korn and T. M. KornMathematical Handbook, McGraw-Hill, New York (1968).

    Google Scholar 

  10. M. D. Novopashin, L. I. Bochkarev, and S. V. Suknev, “Determination of local yield stress of material near a stress concentration zone”,Probl. Prochn., No. 1, 75–76 (1988).

    Google Scholar 

  11. N. E. Dowling, W. R. Brose, and W. K. Wilson, “Notched member fatigue life predictions by the local strain approach”, in: R. M. Wetzel, and W. K. Wilson, “Notched member fatigue life predictions by the local strain approach”, in R. M. Wetzel (Ed.),Fatigue under Complex Loading. Analyses and Experiments, SAE Inc. Warrandale, PA (1977), pp. 55–84.

    Google Scholar 

  12. G. Glinka, “A notch stress-strain analysis approach to fatigue crack growth”,Eng. Fract. Mech.,21, No. 2 245–261 (1985).

    Article  Google Scholar 

  13. G. Glinka, “Energy density approach to calculation of inelastic stress-strain near notches and cracks”,Eng. Fract. Mech.,22, No. 3, 485–508.

  14. G. Glinka, “Calculation of inelastic notch-tip strain-stress histories under cyclic loading”,Eng. Fract. Mech.,22, No. 5, 839–854.

Download references

Authors
  1. P. A. Fomichev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. V. Zvyagintsev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Kharkov Aviation Institute, Kharkov, Ukraine. Translated from Problemy Prochnosti, No. 3, pp. 37–45, May–June, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fomichev, P.A., Zvyagintsev, V.V. Prediction of the fatigue life of a notched body by the local stress-strain state. Part 1. Determination of stresses and strains in a notch under elastoplastic cyclic deformation. Strength Mater 32, 234–240 (2000). https://doi.org/10.1007/BF02509850

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02509850

Keywords

Search

Navigation