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Fatigue Life Prediction for High Strength AI-alloy under Variable Amplitude Loading

변동하중하에서 고강도 알루미늄 합금의 피로수명 예측

  • Published : 2000.08.01

Abstract

In this study, to investigate and to predict the crack growth behavior under variable amplitude loading, crack growth tests are conducted on 7075-T6 aluminum alloy. The loading wave forms are generated by normal random number generator. All wave forms have same average and RMS(root mean square) value, but different standard deviation, which is to vary the maximum load in each wave. The modified Forman's equation is used as crack growth equation. Using the retardation coefficient D defined in previous study, the load interaction effect is considered. The variability in crack growth process is described by the random variable Z which was obtained from crack growth tests under constant amplitude loading in previous work. From these, a statistical model is developed. The curves predicted by the proposed model well describe the crack growth behavior under variable amplitude loading and agree with experimental data. In addition, this model well predicts the variability in crack growth process under variable amplitude loading.

Keywords

References

  1. Barsom, J. M., 1976, 'Fatigue Crack Growth under Variable-Amplitude Loading in Various Bridge Steel,' ASTM STP 595, pp. 217-235
  2. Hudson, C. M., 1981, 'A Root-Mean-Square Approach for Predicting Fatigue Crack Growth under Random Loading,' ASTM STP 748, pp. 41-52
  3. Schijve, Jaap, 1980, 'Prediction Methods for Fatigue Crack Growth in Aircraft Material,' ASTM STP 700, pp. 3-34
  4. Elber, W., 1971, 'The Significance of Fatigue Crack Closure,' ASTM STP 486, pp. 230-242
  5. Johnson, W. S., 1981, 'Multi-Parameter Yield Zone Model for Predicting Spectrum Crack Growth,' ASTM STP 748, pp. 85-102
  6. Willenborg, J., Engle, R. M. and Wood, H. A., 1971, 'A Crack Growth Retardation Model Using an Effective Stress Concept,' AFFDL-TM-71-1-FBR
  7. Newman, Jr., J. C., 1981, 'A Crack-Closure Model for Predicting Fatigue Crack Growth under Aircraft Spectrum Loading,' ASTM STP 748, pp. 54-84
  8. Dugdale, D. S., 1960, 'Yielding in Steel Sheets Containing Slites,' Journal of the Mechanics and Physics of Solids, Vol. 8, No. 2, pp. 100-104 https://doi.org/10.1016/0022-5096(60)90013-2
  9. Bogdanoff, J. L., 1978, 'A New Cumulative Damage Model-Part 1,' Journal of Applied Mechanics, Trans. of the ASME, Vol. 45, pp. 246-250
  10. Bogdanoff, J. L., and Kozin, F. 1982, 'On Nonstationary Cumulative Damage Models,' Journal of Applied Mechanics, Vol. 49, pp. 37-42
  11. HUA ZHAO, 1993, 'An Improved Probabilistic Model of Fatigue Crack Growth,' Engineering Fracture Mechanics, Vol. 46, No. 5, pp. 773-780 https://doi.org/10.1016/0013-7944(93)90127-E
  12. Yang, J. N., Salivar, G. C., and Annis, Jr., C. G., 1983, 'Statistical Modeling of Fatigue Crack Growth in a Nickel-Based Superalloy,' Engineering Fracture Mechanics, Vol. 18, No. 2, pp. 257-270 https://doi.org/10.1016/0013-7944(83)90137-6
  13. Lin, Y. K. and Yang, J. N., 1985, 'A Stochastic Theory of Fatigue Crack Propagation,' AIAA JOURNAL, Vol. 23, No. 1, pp. 117-124
  14. Ortiz, K., and Kiremidjian, A. S., 1986, 'Time Series Analysis of Fatigue Crack Growth Rate Data,' Engineering Fracture Mechanics, Vol. 24, No. 5, pp. 657-675 https://doi.org/10.1016/0013-7944(86)90241-9
  15. Ortiz, K., and Kiremidjian, A. S., 1988, 'Stochasitc Modeling of Fatigue Crack Growth,' Engineering Fracture Mechanics, Vol. 29, No. 3, pp. 317-334 https://doi.org/10.1016/0013-7944(88)90020-3
  16. Dominguez, J., Zapatero, J. and Pascual, J., 1997, 'Effect of Load Histories on Scatter of Fatigue Crack Growth in Aluminum Alloy 2024-T351,' Engineering Fracture Mechanics, Vol. 56, No. 1, pp. 65-76 https://doi.org/10.1016/S0013-7944(96)00074-4
  17. 김정규ㆍ심동석, 1998, '두께변화에 따른 피로균열진전의 변동성에 대한 확률론적 해석,' 대한기계학회논문집(A), 제22권, 제8호, pp. 1523-1532
  18. 심동석.김정규, 1999, '단일과대하중하에서 피로균열진전지연거동 및 지연수명의 확률론적 해석,' 대한기계학회논문집(A), 제23권, 제7호, pp. 1164-1172
  19. 'Standard Test Method for Measurement of Fatigue Crack Growth Rates,' ASTM E647-95
  20. Box, G. E. P. and Muller, M. E., 1958, 'A Note on the Generation of Random Normal Deviates,' Ann. Math. Stat., Vol. 29, pp. 610-611
  21. Wheeler, O. E., 1972, 'Spectrum Loading and Crack Growth,' J. of Basic Eng., Trans. ASME, D, Vol. 94, pp. 181-186
  22. Lu Yichi, and Li Kangxian, 1993, 'A New Model for Fatigue Crack Growth after a Single Overload,' Engineering Fracture Mechanics, Vol. 46, No. 5, pp. 849-856 https://doi.org/10.1016/0013-7944(93)90136-G
  23. Vardar O. and Yildirim N., 1990, 'Crack Growth Retardation due to Intermittent Overloads,' International Journal of Fatigue, Vol. 12, No. 4, pp. 283-287 https://doi.org/10.1016/0142-1123(90)90456-O