Fatigue Properties of Rail Steel Under Constant Amplitude Loading and Variable Amplitude Loading

일정 및 변동하중하의 레일강의 피로특성

Kim, Cheol-Su;Kim, Jeong-Gyu

  • Published : 2001.04.01


In this study, fatigue growth behavior of the transverse crack, which was the most dangerous damage among the various types of rail defects, was investigated using the notched keyhole specimen under constant amplitude loadings. Fatigue limit of smooth specimen in rail steel at R=0 was 110MPa, and the fatigue crack initiation life in the region of the low stress amplitude (ie. long life) occupied the major portion of the total fatigue life. The fatigue strength under variable amplitude loading was converted to the equivalent fatigue strength based upon. Miners rule, which was estimated approximately 9% lower than that under constant amplitude loading. Also, in the low ΔK(sub)rms region ($\leq$21MPa√m), fatigue crack growth rate (da/dN) under constant amplitude loading was higher than that under variable amplitude loading, whereas the tendency was reversed in the high ΔK(sub)rms region. It is believed that this behavior is due to the transition of fracture appearance.


Detail Fracture;2-Parameter Weibull Distribution;Cumulative Distribution Function;Fatigue Notch Factor


  1. Sadananda, K. and Vasudevant, A. K., 1997, 'Short Crack Growth and Internal Stresses,' Int. J. Fatigue, Vol. 19, No. 1, pp. S99-S108
  2. Barsom, J., 1976, 'Fatigue Crack Growth Under Variable-Amplitude Loading in Various Bridge Steel,' ASTM STP 595, pp. 217-235
  3. Hudson, C. M., 1981, 'A Root-Mean-Square Approach for Predicting Fatigue Crack Growth under Random Loading,' ASTM STP 748, pp. 41-52
  4. Weibull, W., 1951, 'A Statistical Distribution Function of Wide Applicability,' Journal of Applied Mechanics, Vol. 18, pp. 293-297
  5. Orringer, O., 1996, 'Crack Propagation And Fracture in Contacting Bodies,' Fatigue Fract. Engng. Mater. Struct., Vol. 19., No. 11, pp. 1329-1338
  6. Amijima, S., Tanimoto, T. and Matsuoka, T., 1984, 'Fatigue Life Estimation of FRP under Random Loading,' J. Soc. of Mat. Sci. (in Japanese), Vol. 34, No. 378, pp. 293-299
  7. Shang, D. G., Yao, W. X and Wang, D. J., 1998, 'A New Approach to the Determination of Fatigue Crack Initiation Size,' Int. J. Fatigue, Vol. 20, No. 9, pp. 683-687
  8. 한국철도연구원, 1998, 레일용접부의 특성에 관한 연구, 시설연구부, 연구98-35
  9. Smith, R. A. and Miller, K. J., 1977, 'Fatigue Cracks at Notch,' Int. J. Fatigue, Vol. 19, pp. 11-22
  10. Dowling, N. E., 1979, 'Fatigue at Notch and the Local Strain and Fracture Mechanics Approaches,' ASTM STP 677, pp. 247-273
  11. Lease, K. B. and Stephens, R. I., 1991, 'Verification of Variable Amplitude Fatigue Life Methodologies for a Cast Aluminum Alloy,' SAE TECHNICAL PAPER SERIES, February-March 1, No. 910163
  12. Takao, N. and Syoichi, K., 1984, Effect of Small Material Defects on Fatigue Fracture of Carbon Steel Rail and Its Gas Pressure Weld,' RTRI Report 669.14.018294.2:621.791.011:539.43 (in Japanese), pp. 1-57
  13. Dowling, N. E., 1993, Mechanical Behavior of Materials, Prentice-Hall International Editions, pp. 422-426
  14. Journet, B. G. and Pelloux, R. M., 1987, 'A Methodology for Studying Fatigue Crack Propagation under Spectrum Loading: Application to Rail Steel,' Theoretical and Applied Fracture Mechanics, Vol. 8, pp. 117-123
  15. Tang, Y. H., Perlman, A. B., Orringer, O. and Jablonski, D. A., 1991, 'Comparison of two crack growth rate models with laboratory spectrum and field tests on rail steel,' Theoretical and Applied Fracture Mechanics, Vol. 15, pp. 1-9
  16. 김정규, 이종선, 김철수, 1999, '단일 및 혼합모드 하중하에서의 레일강의 파괴조건 및 피로균열진전거동,' 대한기계학회논문집(A), 제23권, 제6호, pp. 1039-1047
  17. 성기득, 양원호, 조명래, 허성필, 2000,'철도 차량용 휠과 레일의 접촉특성 해석 및 형상 설계에 관한 연구(2),' 대한기계학회논문집(A), 제24권, 제5호, pp. 1238-1245
  18. Rindberg, J. W., Josefson, B. L., 1999, 'Assessment of Conditions for Initiation of Cracks in the Heads of Railway Rails Due to Rolling Contact Fatigue,' Fatigue 99', pp. 2597-2601
  19. Sih, G. C. and Tzou, D. Y., 1984, 'Three Dimensional Transverse Fatigue Crack Growth in Rail Head,' Theoretical and Applied Fracture Mechanics, Vol. 1, pp. 103-115
  20. Journet, B. G. and Pelloux, R. M., 1987, 'A Direct Method for Laboratory Spectrum Crack Growth Testing,' Theoretical and Applied Fracture Mechanics, Vol. 7, pp. 19-22
  21. Jablonski, D., Tang, Y. H. and Pelloux, R. M., 1987, 'Simulation of Railroad Crack Growth Life Using Laboratory Specimen,' Theoretical and Applied Fracture Mechanics, Vol. 7, pp. 19-22
  22. Chau-Cho, Y., Keer, L. M. and Steele, R. K., 1997, 'Three-Dimensional Residual Stress Effects on the Fatigue Crack Initiation on Rails,' Trans. of ASME Jour. of Tribology, Vol. 119, pp. 660-666
  23. Orringer, O. and Morris, J. M., 1984, 'Applied Research on Rail Fatigue and Fracture in the United States,' Theoretical and Applied Fracture Mechanics, Vol. 1, pp. 23-49