Skip to main content
Log in

Effect of specimen thickness on the statistical properties of fatigue crack growth resistance in BS4360 steel

  • Materials & Fracture · Solids & Structures · Dynamics & Control · Production & Design
  • Published:
KSME International Journal Aims and scope Submit manuscript

Abstract

In this paper the effect of specimen thickness on fatigue crack growth with the spatial distribution of material properties is presented. Basically, the material resistance to fatigue crack growth is treated as a spatial stochastic process, which varies randomly on the crack surface. The theoretical autocorrelation functions of fatigue crack growth resistance with specimen thickness are discussed for several correlation lengths. Constant ΔK fatigue crack growth tests were also performed on CT type specimens with three different thicknesses of BS 4360 steel. Applying the proposed stochastic model and statistical analysis procedure, the experimental data were analyzed for different specimen thicknesses for determining the autocorrelation functions and probability distributions of the fatigue crack growth resistance.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Broek, D., 1988, “The Practical Use of Fracture Mechanics,” KAP.

  • Buto, S., Sugie, H. and Okazaki, A., 1977, “Fortran and Numerical Analysis,”Baifukan.

  • Itagaki, H., Ishizuka, T. and Huang, P. Y., 1993, “Experimental Estimation of the Probability Distribution of Fatigue Crack Growth Lives,”Prob. Eng. Mech., Vol. 8, pp. 25–34.

    Article  Google Scholar 

  • Kim, S. J., 1999, “An Analysis of Crack Growth Rate Due to Variation of Fatigue Crack Growth Resistance,”Trans. KSME, Vol. 23, No, 7, pp. 1139–1146.

    Google Scholar 

  • Kozin, F. and Bogdanoff, J. L., 1989, “Recents Thoughts on Probabilistic Fatigue Crack Growth,” Part 2.Appl. Mech. Rev., Vo. 42, No. 11, S121-S127.

    Article  Google Scholar 

  • Lapetra, C., Mayo, J. and Dominguez, J., 1996, “Randomness of Fatigue Crack Growth under Constant Amplitude Loads,”Fat. Fract. Eng. Mater. Struct., Vol. 19, pp. 589–600.

    Article  Google Scholar 

  • Mcmaster, F. J., Tabrett, C. P. and Smith, D. J., 1998, “Fatigue Crack Growth Rates in AL-Li Alloy, 2090. Influence of Orientation, Sheet Thickness and Specimen Geometry,”Fat. Fract. Eng. Mater. Struct., Vol. 21, pp. 139–150.

    Article  Google Scholar 

  • Ortiz, K. and Kiremidjian, A. S., 1986, “Time Series Analysis of Fatigue Crack Growth Rate Data,”Eng. Fract. Mech., Vol. 24, pp. 657–676.

    Article  Google Scholar 

  • Paris, P. C. and Erdogan, F., 1963, “A Critical Analysis of Crack Growth Propagation Law,”J. Bas. Eng. (Trans. ASTM D) Vol. 85, pp. 528–536.

    Google Scholar 

  • Putatunda, S. K. and Rigsbee, J. M., 1985, “Effect of Specimen Size on Fatigue Crack Growth Rate in AISI4340 Steel,”Eng. Fract. Mech., Vol. 22, pp. 335–345.

    Article  Google Scholar 

  • Shim, D. S. and Kim, J. K., “A Stochastic Analysis on Variation of Fatigue Crack Propagation due to Thickness Effect,”Trans. KSME, Vol. 22, No. 8, pp. 1523–1532.

  • Sobczyk, K., 1993, “Stochastic Approach to Fatigue: Experiments, Modelling and Reliability Estimation,”Springer Verlag Wein-New York.

    MATH  Google Scholar 

  • Tanaka, S., Ichikawa, M. and Akita, S., 1981, “Variability of m and C in the Fatigue Crack Propagation Law,”Int. J. Fract., Vol. 17, R121.

    Article  Google Scholar 

  • Virker, D. A., Hiliberry, B. M. and Goel, P. K., 1979, “The statistical nature of fatigue crack propagation,”J of Eng. Mat and Tech., ASME, Vol 101, pp. 148–153.

    Article  Google Scholar 

  • Yamazairi, F. and Shinozuks, M., 1986, “Digital Generation of non-Gaussian Stochastic Fields,” Technical Report,Columbia Univ. Press, pp. 211–235

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Seon-Jin Kim.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, SJ., Itagaki, H. & Ishizuka, T. Effect of specimen thickness on the statistical properties of fatigue crack growth resistance in BS4360 steel. KSME International Journal 14, 1041–1050 (2000). https://doi.org/10.1007/BF03185058

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03185058

Key Words

Navigation