An Anisotropic Damage Model for Metal Fatigue

  • C. L. Chow
  • L. G. Yu
Conference paper


This paper presents the development of an anisotropic fatigue damage model to assess residual life of engineering components based on theory of Damage Mechanics (DM). This is achieved by extending the application of an anisotropic model of Damage Mechanics recently proposed by Chow and Wang (Chow and Wang, 1987a,b,c, 1988; Wang, 1987). The effect of plastic damage on fatigue damage is taken into account by establishing the required evolution equations of plastic damage. The failure criterion is based on the postulation that a macro-crack is formed when overall equivalent damage Z, which includes fatigue damage Zf and plastic damage ZP, reaches a critical value Zcr.

For the sake of illustration, the fatigue damage model is used to assess residual lives of smooth specimens under fatigue loading. The loading conditions chosen are single block loading, double block loading and overload. The predicted results show good agreement with the experimental data.


Fatigue Life Fatigue Damage Damage Accumulation Engineer Fracture Mechanics Plastic Damage 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Chaboche, J.L. and Lesne, P.M. (1988), Fatigue and Fracture of Engineering Materials and Structures 1 1–17.Google Scholar
  2. Chow, C.L. and Lu, T.J. (1989), Engineering Fracture Mechanics 3, 679–701.CrossRefGoogle Scholar
  3. Chow, C.L. and Wang, J. (1987a), International Journal of Fracture 33 3–16.CrossRefGoogle Scholar
  4. Chow, C.L. and Wang, J. (1987b), Engineering Fracture Mechanics 27 (1987) 547–558CrossRefGoogle Scholar
  5. Chow, C.L. and Wang, J. (1987c), Damage Mechanics in Composites ASME AD-Vol. 12 (1987) 1–10.Google Scholar
  6. Chow, C.L. and Wang, J. (1988), Engineering Fracture Mechanics 30 (1988) 547–563.CrossRefGoogle Scholar
  7. Coffin, Jr, L.F. (1954), Transactions ASME 76, 931.Google Scholar
  8. Corten, H.T. and Dolan, T.J. (1965), Proceedings, International Conference on Fatigue of Metals. Google Scholar
  9. Frost, N.E. et al. (1974), Metal Fatigue, Clarendon press, Oxford.Google Scholar
  10. Gao, Z.T. (1986), Applied Statistics of Fatigue (in Chinese), National Defense Industry Press (1986)Google Scholar
  11. Gerber, W.Z. (1874), Bayer. Achit Ing. Ver.6 (1874) 101.Google Scholar
  12. Goodman, J. (1899), Mechanics Applied to Engineering, Longman, Green, and Company, London.Google Scholar
  13. Kachanov, L.M. (1958), Izvestiya Akademii Nauk. SSSR. Otd. Tekhn. Nauk. 8, 26–31.Google Scholar
  14. Kujawsk, D. and Ellyin, F. (1984), International Journal of Fatigue 2, 83–88.CrossRefGoogle Scholar
  15. Lee, H., Peng, K. and Wang, J. (1985), Engineering Fracture Mechanics 5, 1031–1054.Google Scholar
  16. Lemaitre, J. (1984), Nuclear Engineering Design 80, 233–245. 11.CrossRefGoogle Scholar
  17. Lemaitre, J. (1990), International Journal of Fracture 42, 87–89.CrossRefGoogle Scholar
  18. Manson, S.S. (1965), Experimental Mechanics 5, 193.CrossRefGoogle Scholar
  19. Miner, M.A. (1945), Journal of Applied Mechanics 12 (1945) A159Google Scholar
  20. Paris, P.C. (1957), The Boeing Company, Document No. 17867, Addendum N, Sept. 12.Google Scholar
  21. Wang, J. (1987), Development of An Anisotropic Damage Mechanics Model in Ductile Fracture, Ph.D. Thesis, University of Hong Kong.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • C. L. Chow
    • 1
  • L. G. Yu
    • 1
  1. 1.Department of Mechanical EngineeringThe University of Michigan-DearbornDearbornUSA

Personalised recommendations