Advertisement

Stochastic Growth of Fatigue Crack under Constant Amplitude Loading

  • Krzysztof Doliński
Conference paper
Part of the IUTAM Symposia book series (IUTAM)

Abstract

The scatter of experimental fatigue crack paths obtained even in very well-controlled constant amplitude loading tests is very large [Virkler et al. 1979, Ghonem & Dore 1986]. The only origin of this uncertainty is some randomness of the material properties which affect the crack propagation process. The fatigue crack growth phenomenon, however, appears to be physically and mechanically so complicated that pure theoretical considerations alone do not suffice to set up a reliable model which could be used to predict the fatigue crack propagation. Nevertheless, the theoretical analysis of the possible mechanisms which are observed to be present during fatigue crack growth points out some relations between crack growth features, material and load characteristics. In order to verify the theoretical investigations and specify the parameters of the proposed models experimental results have to be used. They, moreover, enable us to identify some random characteristics of the model parameters and help us to explain the random nature of the fatigue crack growth phenomenon.

Keywords

Fatigue Crack Fatigue Crack Growth Fatigue Crack Propagation Stress Range Intensity Factor Crack Growth Process 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Budiansky B., Huchinson J.W. (1978), Analysis of closure in fatigue crack growth, Trans. ASME, Journal of Applied Mechanics, vol. 45, pp. 267–276;CrossRefMATHADSGoogle Scholar
  2. Ditlevsen O. (1986), Random fatigue crack growth — a first passage problem, Eng. Fract. Mechanics, vol. 23, No. 2, pp. 467–477;CrossRefGoogle Scholar
  3. Doliński K. (1991), Stochastic modeling and statistical verification of the crack growth under constant amplitude loading, (in preparation);Google Scholar
  4. Elber W. (1971), The significance of the crack closure in: Damage Tolerance in Aircraft Structures, ASTM STP 486, 230;Google Scholar
  5. Ghonem H., Dore S. (1986) Probabilistic description of fatigue crack growth in aluminum alloys under constant amplitude loading, Report AFOSR-83–0322, Univ. of Rhode Island;Google Scholar
  6. Kozin F., Bogdanoff J.L. (1981), A critical analysis of some probabilistic models of fatigue crack growth, Eng. Fract. Mech., 14, pp. 58–89;CrossRefGoogle Scholar
  7. Lin Y.K., Yang J.N. (1983), On statistical moments of fatigue crack propagation, Eng.Fract. Mechanics, vol.18, No. (2), pp. 243–256;Google Scholar
  8. Ortiz K., Kiremidjian A. (1986), Time series analysis of fatigue crack growth data, Eng.Fract. Mechanics, vol. 24, No. 5, pp. 657–675;CrossRefGoogle Scholar
  9. Ortiz K., Kiremidjian A. (1988), Stochastic modeling of crack growth, Eng.Fract. Mechanics, vol. 29, No. 3, pp. 317–334;CrossRefGoogle Scholar
  10. Rice J.R. (1968), A path independent integral and the approximate analysis of strain concentration by notches and cracks, J.Appl. Mechanics, vol. 35, pp. 379–386;CrossRefADSGoogle Scholar
  11. Ritchie R.O. (1977), Near-threshold fatigue crack propagation in ultra-high strength steel: influence of load ratio and cyclic strength, Trans. ASME, Journal of Engineering Materials and Technology, vol. 99, No. 3, pp. 195–204;CrossRefMathSciNetGoogle Scholar
  12. Sahasakmontri K., Horii H. (1991), An analytical model of fatigue crack growth based on the crack-tip plasticity, Eng.Fract. Mechanics, vol. 38, No. 6, pp. 413–437, 1991;Google Scholar
  13. Short J.S. Hoeppner D.W. (1989), A global/local theory of fatigue crack propagation, Eng.Fract. Mechanics, vol. 33, No.2, pp. 175–184;CrossRefGoogle Scholar
  14. Sobczyk K. (1986), Modeling of random fatigue crack growth, Eng. Fract. Mech., vol.24, No.4, pp. 609–623;CrossRefGoogle Scholar
  15. Spencer Jr. B.F., Tang J. (1988), Markov process model for fatigue crack growth, J.Eng.Mechs, ASCE, vol. 114, No. 12, pp. 2134–2157;CrossRefGoogle Scholar
  16. Tomkins B. (1968), Fatigue crack propagation — an analysis, The Philosophical Magazine, vol. 18, No. 155, pp. 1041–1066;Google Scholar
  17. Veers P.S. (1987), Fatigue crack growth due to random loading, SAND87–2039, Sandia National Laboratories;Google Scholar
  18. Virkler D.A., Hillberry B.M., Goel P.K. (1978), The statistical nature of fatigue crack propagation, Technical Report AFFDL-TR-78–43, Wright-Patterson Air Force Base, Ohio;Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Krzysztof Doliński
    • 1
  1. 1.Institute of Fundamental Technological ResearchWarsawPoland

Personalised recommendations