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Theoretical Estimation of the Endurance Limit of Metal Materials by the Characteristics of Their Static Strength and Microstructure Based on the Linear-Elastic Fracture Mechanics

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Strength of Materials Aims and scope

A methodology for theoretically estimating the endurance limit of a material for conditions of multicycle fatigue is proposed. The estimation is based on the fact that under these conditions, a nonpropagating surface fatigue crack of one grain size exists at the level of the applied stress range equal to the endurance limit. In this regard, the tools of linear-elastic fracture mechanics were used in the development of the methodology, but with corrections for the size and geometry of a short fatigue crack. The methodology allows for estimating the endurance limit of smooth specimens under symmetric and positive stress ratios of the loading cycle. The initial data for the estimation are the characteristics of the static strength and microstructure of the material. The reliability of the proposed estimation is confirmed by experimental fatigue data for structural alloys of various classes taken from the literature.

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References

  1. ASTM E466-15. Standard Practice for Conducting Force Controlled Constant Amplitude Axial Fatigue Tests of Metallic Materials (2015).

  2. O. M. Herasymchuk, “Nonlinear relationship between the fatigue limit and quantitative parameters of material microstructure,” Int. J. Fatigue, 33, 649–659 (2011).

    Article  CAS  Google Scholar 

  3. M. D. Chapetti, “Fatigue propagation threshold of short cracks under constant amplitude loading,” Int. J. Fatigue, 25, 1319–1326 (2003).

    Article  CAS  Google Scholar 

  4. M. H. El Haddad, T. H. Topper, and K. N. Smith, “Prediction of non propagating cracks,” Eng. Fract. Mech., 11, No. 3, 573–584 (1979).

    Article  Google Scholar 

  5. A. J. McEvily, M. Endo, and Y. Murakami, “On the \(\sqrt{area}\) relationship and the short fatigue threshold,” Fatigue Fract. Eng. Mater. Struct., 26, 269–278 (2003).

    Article  Google Scholar 

  6. ASTM E647-00. Standard Test Method for Measurements of Fatigue Crack Growth Rates (2000).

  7. H. Kitagawa and S. Takahashi, “Applicability of fracture mechanics to very small cracks or the cracks in the early stage,” in: Proc. of the Second Int. Conf. of Mechanical Behavior of Materials, ASM, Metals Park, OH (1976), pp. 627–631.

  8. U. Krupp, Fatigue Crack Propagation in Metals and Alloys: Microstructural Aspects and Modelling Concepts, Wiley-VCH, Weinheim (2007).

    Book  Google Scholar 

  9. R. W. Hertzberg, “A simple calculation of \(da/dN-\Delta K\) data in the near threshold regime and above,” Int. J. Fracture, 64, 53–58 (1993).

    Article  Google Scholar 

  10. O. M. Herasymchuk, “Microstructurally-dependent model for predicting the kinetics of physically small and long fatigue crack growth,” Int. J. Fatigue, 81, 148–161 (2015).

    Article  CAS  Google Scholar 

  11. J. P. Lukas and W. W. Gerberich, “A proposed criterion for fatigue threshold: dislocation substructure approach,” Fatigue Fract. Eng. Mater. Struct., 6, 271–280 (1983).

    Article  Google Scholar 

  12. T. Hanlon, E. D. Tabachnikova, and S. Suresh, “Fatigue behavior of nanocrystalline metals and alloys,” Int. J. Fatigue, 27, 1147–1158 (2005).

    Article  CAS  Google Scholar 

  13. O. M. Herasymchuk, O. V. Kononuchenko, P. E. Markovsky, and V. I. Bondarchuk, “Calculating the fatigue life of smooth specimens of two-phase titanium alloys subject to symmetric uniaxial cyclic load of constant amplitude,” Int. J. Fatigue, 83, 313–322 (2016).

    Article  CAS  Google Scholar 

  14. J. O. Peters, B. L. Boyce, X. Chen, et al., “On the application of the Kitagawa–Takahashi diagram to foreign-object damage and high-cycle fatigue,” Eng. Fract. Mech., 69, 1425–1446 (2002).

    Article  Google Scholar 

  15. O. M. Herasymchuk and O. V. Kononuchenko, “Peculiarities of short fatigue cracks growth from a blind hole in specimens made of steel 45. Part 1. Experimental results,” Strength Mater., 53, No. 2, 213–221 (2021). https://doi.org/10.1007/s11223-021-00277-z

    Article  Google Scholar 

  16. K. Tanaka, Y. Nakai, and Y. Yamashita, “Fatigue growth threshold of small cracks,” Int. J. Fracture, 17, No. 5, 519–533 (1981).

    Article  CAS  Google Scholar 

  17. J. S. Park, S. J. Kim, K. H. Kim, et al., “A microstructural model for predicting high cycle fatigue life of steels,” Int. J. Fatigue, 27, 1115–1123 (2005).

    Article  CAS  Google Scholar 

  18. D. N. Hanlon and W. M. Rainforth, “Some observations on cyclic deformation structures in the high-strength commercial aluminum alloy AA 7150,” Metall. Mater. Trans. A, 29, 2727–2736 (1998).

    Article  Google Scholar 

  19. Y. Akiniwa and K. Tanaka, “Statistical characteristics of propagation of small fatigue crack in smooth specimens of aluminium alloy 2024-T3,” Mater. Sci. Eng. A, 104,105–115 (1988).

    Article  Google Scholar 

  20. K. Tokaji, M. Kamakura, Y. Ishiizumi, and N. Hasegawa, “Fatigue behaviour and fracture mechanism of a rolled AZ31 magnesium alloy,” Int. J. Fatigue, 26, 1217–1224 (2004).

    Article  CAS  Google Scholar 

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Correspondence to O. M. Herasymchuk.

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Translated from Problemy Mitsnosti, No. 1, pp. 33 – 44, January – February, 2023.

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Herasymchuk, O.M. Theoretical Estimation of the Endurance Limit of Metal Materials by the Characteristics of Their Static Strength and Microstructure Based on the Linear-Elastic Fracture Mechanics. Strength Mater 55, 25–34 (2023). https://doi.org/10.1007/s11223-023-00499-3

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  • DOI: https://doi.org/10.1007/s11223-023-00499-3

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