Metallurgical Transactions A

, Volume 12, Issue 1, pp 49–55 | Cite as

Plastic work of fatigue crack propagation in steels and aluminum alloys

  • P. K. Liaw
  • S. I. Kwun
  • M. E. Fine
Mechanical Behavior
Received:

Abstract

The plastic work per unit area of fatigue crack propagation,U, is one of the parameters controlling the rate of fatigue crack propagation,dc/dN. The equation,dc/dN = A ΔK 4/(σfy 2μ U), was previously shown to fit the data for 7 iron and aluminum base alloys for the range of thedc/dN vs ΔK curve where the Paris relation is valid. Values ofU are now available for 6 additional alloys covering a much wider range of σy 42 to 868 MN/m2. For the total populationA = (2.8 ± 0.9) X 10-3 where 2.8 is the mean and 0.9 is the standard deviation. In this equation, σy is the 0.2 pct offset cyclic yield stress and μ is the shear modulus. The parameterU is related to microstructure and should be of interest to the metallurgist. Generally,U varies oppositely to σy due to decrease in the plastic zone size; however, the plastic strain amplitude and degree of localization of the plastic strain in the plastic zone are also important.

Keywords

Aluminum Alloy Metallurgical Transaction Plastic Zone Fatigue Crack Propagation Plastic Work 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J. Weertman:Int. J. Fract. Mech., 1973, vol. 9, p. 125.CrossRefGoogle Scholar
  2. 2.
    T. Mura and C. T. Lin:Int. J. Fract. Mech., 1974, vol. 10, p. 284.CrossRefGoogle Scholar
  3. 3.
    J. R. Rice: ASTM STP 415, p. 247, 1967.Google Scholar
  4. 4.
    G. P. Cherepanov:Int. J. Solids Struct., 1968, vol. 4, p. 811.CrossRefGoogle Scholar
  5. 5.
    Y. Izumi, M. E. Fine, and T. Mura: “Energy Considerations in the Fatigue Crack Propagation”,Int. J. Fract. Mech. (in press).Google Scholar
  6. 6.
    T. Mura and C. Vilmann: “Fatigue Crack Propagation Related to a Dislocation Distribution”,J. Appl. Mech., ASME (in press).Google Scholar
  7. 7.
    P. E. Irving and L. N. McCartney:Met. Sci., Aug./Sept. 1977, p. 351.Google Scholar
  8. 8.
    J. Weertman:Fracture Mechanics, p. 193, N. Perrone, H. Liebowitz, D. Mulville and W. Pilkey, eds., University Press of Virginia, Charlotteville, 1978;Fatigue Crack Propagation Theories, ASM Symposium: Fatigue and Microstructure, p. 279, St. Louis, Oct. 1978.Google Scholar
  9. 9.
    S. Ikeda, Y. Izumi, and M. E. Fine:Eng. Fract. Mech., 1977, vol. 9, p. 123.CrossRefGoogle Scholar
  10. 10.
    Y. Izumi and M. E. Fine:Eng. Fract. Mech., 1979, vol. 11, p. 791.CrossRefGoogle Scholar
  11. 11.
    M. E. Fine and Y. Izumi:Proc. 4th Int. Conf. on the Strength of Metals and Alloys, vol. 2, p. 468, Nancy, France, 1976.Google Scholar
  12. 12.
    P. K. Liaw, M. E. Fine, and D. L. Davidson: “Comparison of Plastic Work of Fatigue Crack Propagation in Low Carbon Steel Measured by Strain-Gages and Electron Channeling”,Fatigue Eng. Mater. Struct. (in press).Google Scholar
  13. 13.
    Y. Izumi: Ph.D. Dissertation, 1978, Northwestern University, Evanston, IL.Google Scholar
  14. 14.
    S. Ikeda, T. Sakai and M. E. Fine:J. Mater. Sci., 1977, vol. 12, p. 675.CrossRefGoogle Scholar
  15. 15.
    D. L. Davidson and J. Lankford, Jr.:Proc. of the Symposium “Environment-Sensitive Fracture of Engineering Materials”, Z. A. Foroulis, ed., p. 581, TMS-AIME, Warrendale, PA, 1979.Google Scholar
  16. 16.
    S. I. Kwun and M. E. Fine:Scr. Metall., 1980, vol. 14, p. 155.CrossRefGoogle Scholar
  17. 17.
    S. I. Kwun and M. E. Fine: “Fatigue Macrocrack Growth in Tempered HY80, HY130 and 4140 Steels”,Fatigue Eng. Mater. Struct. (in press).Google Scholar
  18. 18.
    P. K. Liaw: Ph.D. Dissertation, 1980, Northwestern University, Evanston, IL.Google Scholar
  19. 19.
    S. I. Kwun: Ph.D. Dissertation, 1978, Marquette University, Milwaukee, WI.Google Scholar
  20. 20.
    S. I. Kwun and R. A. Fournelle:Met. Trans. A, 1980, vol. 11 A, p. 1429.Google Scholar
  21. 21.
    J. T. McGrath and W. J. Bratina:Acta Metall., 1967, vol. 15, p. 329.CrossRefGoogle Scholar
  22. 22.
    C. Calabrese and C. Laird:Mater. Sci. Eng., 1974, vol. 13, p. 141. 23. C. E. Feltner and P. Beardmore: ASTM STP 467, p. 77, 1970.CrossRefGoogle Scholar
  23. 24.
    P. K. Liaw, M. E. Fine, M. Kiritani, and S. Ono:Scr. Metall., 1977, vol. 11, p. 1151.CrossRefGoogle Scholar

Copyright information

© American Society for Metals and The Metallurgical Society of AIME 1981

Authors and Affiliations

  • P. K. Liaw
    • 1
  • S. I. Kwun
    • 2
  • M. E. Fine
    • 3
  1. 1.Structural Behavior of Materials DepartmentWestinghouse Electric Corp. Research and Development CenterPittsburgh
  2. 2.Department of Metallurgical EngineeringKorea UniversitySeoulKorea
  3. 3.Northwestern UniversityEvanston

Personalised recommendations