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International Journal of Fracture

, Volume 80, Issue 2–3, pp 219–235 | Cite as

On the use of the Goodman diagram for high cycle fatigue design

  • T. Nicholas
  • J. R. Zuiker
Article

Abstract

Materials in rotating machinery are typically subjected to vibratory loading from a number of sources which, in turn, is superimposed on mean stresses which result primarily from steady-state centrifugal loads. In addition, components subjected to vibratory stresses can sustain damage during manufacturing, break-in cycles, or during service such as from foreign objects, fretting, or other types of wear. The combination of vibratory and ‘steady’ stress levels can, for certain load levels, produce low cycle fatigue damage in addition to the damage produced from the high frequency (HCF) vibratory loading since the ‘steady’ stresses are actually low cycle fatigue (LCF) which results in one cycle for every startup and shutdown operation. Design for HCF is generally based on a Goodman diagram which takes into account the vibratory as well as the steady stress amplitudes for fatigue runout or fatigue under a given number of cycles. It does not, however, take into account the combined effects of LCF and HCF. In this investigation, the combined effects are demonstrated analytically by numerical examples which consider both the initiation and propagation phases of fatigue. In addition to the analysis of LCF/HCF interactions, considerations which must be accounted for in design are reviewed in light of a number of failures of components in service in U.S. Air Force fighter engines. A critical assessment of the concepts embedded in the use of the Goodman diagram is presented. Comments on the limitations on the use of a Goodman diagram for design are provided. Some suggestions are offered for the improvement of the design methodology for HCF which involve both damage tolerance considerations and methods for assessing and improving the margin of safety.

Keywords

High Cycle Fatigue High Cycle Fatigue Vibratory Loading Foreign Object Damage Goodman Diagram 
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.

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References

  1. 1.
    Engine Structural Integrity Program (ENSIP), MIL-STD-1783 (USAF), 30 November 1984.Google Scholar
  2. 2.
    D.P. Walls, R.E. deLaneuville and S.E. Cunningham, Damage Tolerance Based Life Prediction in Gas Turbine Engine Blades under Vibratory High Cycle Fatigue, presented at the International Gas Turbine and Aeroengine Congress and Exposition, Houston, June 5–8, 1995; Transactions ASME, to appear.Google Scholar
  3. 3.
    R. John, T. Nicholas, A.F. Lackey and W.J. Porter, Mixed Mode Crack Growth in a Single Crystal Ni-Base Superalloy, FATIGUE 96, Elsevier Science, Oxford (1996) 399–404.Google Scholar
  4. 4.
    J. Goodman, Mechanics Applied to Engineering, Longmans, Green, and Co., London (1899).Google Scholar
  5. 5.
    A. Atrens, W. Hoffelner, T.W. Duerig and J.E. Allison, Scripta Metallurgica 17 (1983) 601–606.CrossRefGoogle Scholar
  6. 6.
    S. Nishida, C. Urashima and H.G. Suzuki, in Fatigue 90, Vol. I, Materials and Components Engineering Publications Ltd, Birmingham, UK (1990) 197–202.Google Scholar
  7. 7.
    W.J. Bell and P.P. Benham, in Symposium on Fatigue Tests of Aircraft Structures: Low-Cycle, Full-Scale, and Helicopters, American Society for Testing and Materials, Los Angeles (1962) 25–46.Google Scholar
  8. 8.
    P. Greenfield and R.W. Suhr, The Factors Affecting the High Cycle Fatigue Strength of Low Pressure Turbine and Generator Rotors, GEC Review (3)3 (1987) 171–179.Google Scholar
  9. 9.
    M. Hawkyard, B.E. Powell, I. Husey and L. Grabowski, Fatigue Crack Growth under the Conjoint Action of Major and Minor Stress Cycles, Fatigue and Fracture of Engineering Materials and Structures 19 (1996) 217–227.CrossRefGoogle Scholar
  10. 10.
    J.-Y. Guedou and J.-M. Rongvaux, in Low Cycle Fatigue, ASTM STP 492, Philadelphia (1988) 938–969.Google Scholar
  11. 11.
    J.R. Zuiker and T. Nicholas, On High Cycle Fatigue Design Limits under Combined High and Low Cycle Fatigue, International Journal of Fatigue (1996) to appear.Google Scholar
  12. 12.
    A. Palmgren, Zeitschrift des Vereins Deutscher Ingenieure 68 (1924) 339–341.Google Scholar
  13. 13.
    M.A. Miner, Journal of Applied Mechanics 12 (1945) 159–164.Google Scholar
  14. 14.
    J.A. Collins, Failure of Materials in Mechanical Design: Analysis, Prediction, Prevention, John Wiley & Sons, New York (1981).Google Scholar
  15. 15.
    R.W. Suhr, Fatigue and Fracture of Engineering Materials and Structures 15 (1992) 399–415.CrossRefGoogle Scholar
  16. 16.
    K. Walker, in Effects of Environment and Complex Load History for Fatigue Life, ASTM STP 462, Philadelphia (1970) 1–14.Google Scholar
  17. 17.
    I.S. Raju and J.C. Newman, in Fracture Mechanics: Seventeenth Volume, ASTM STP 905, Philadelphia (1986) 789–805.Google Scholar
  18. 18.
    G.I. Barenblatt, Engineering Fracture Mechanics 28 (1987) 623–626.CrossRefGoogle Scholar
  19. 19.
    K.J. Miller, Fatigue of Engineering Materials and Structures 5 (1982) 223–232.CrossRefGoogle Scholar
  20. 20.
    J. Lankford, Fatigue of Engineering Materials and Structures 8 (1985) 161–175.CrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • T. Nicholas
    • 1
  • J. R. Zuiker
    • 1
  1. 1.Wright Laboratory Materials DirectorateWright-Patterson AFBUSA

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