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A Large Scale Fatigue Test of Aluminium Specimens

Published online by Cambridge University Press:  07 June 2016

N. T. Bloomer
Affiliation:
West Ham College of Technology
T. F. Roylance
Affiliation:
Department of Mechanical Engineering, The University of Nottingham
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Summary

There have been, in the past, many fatigue tests carried out on a variety of materials and components. These all indicate a wide scattering in the lives (measured by the number of stress cycles to failure) endured by nominally identical components subjected to nominally identical forces before failure occurs. To interpet this scattering several equations have been suggested as representing the statistical distribution functions that fit the lives obtained for individual types of component. Of these functions the log normal distribution function has been perhaps the most widely used. For the central regions of the probability distribution, i.e. about the mean, the log normal distribution and several others represent experimental results very closely indeed, but engineers and designers of all kinds dare not design on the mean fatigue life. They are concerned with specifications that either exclude the possibility of failure or admit only a very small probability of failure. It is thus with the accuracy with which the “lower tail” of the probability distribution curve fits the experimental results that they are concerned.

To assess the fit at this lower end for one type of component, a large number (about 1,000) of aluminium specimens have been tested and the corresponding lives plotted. The results are very interesting. They show clearly that the log normal distribution for this type of component and material is pessimistic for a probability of failure of less than 0·3. This result is felt by the authors to be of very great importance. It has further been shown that the use of the “one-sided censored distribution function”, used previously by one of the authors, gives a curve that will fit the lower results better than the complete log normal distribution would do.

It is with the testing procedure adopted, the specimens used, the distribution functions considered and the conclusions obtained therefrom that this paper is concerned.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1965

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References

1. Templin, R. L. Fatigue of Aluminum. (Third Gillett Memorial Lecture.) Reprinted from the Proceedings of the American Society for Testing and Materials, Vol. 54, 1954.Google Scholar
2. Heywood, R. B. Designing by Photo-Elasticity. Chapman and Hall, 1952.Google Scholar
3. Fessler, H. and Roberts, E. A. Photoelastic Investigation of Stresses in a Fatigue Specimen. Ministry of Supply, S. & T. Memo. No. 13/57.Google Scholar
4. Durham, R. J. Fatigue Properties of Some Noral Wrought Aluminium Alloys. Aluminium Laboratories Ltd., Research Bulletin No. 1, March 1952.Google Scholar
5. Weibull, W. A Statistical Representation of Fatigue Failure in Solids. Transactions of the Royal Institute of Technology, Sweden, No. 27, 1949.Google Scholar
6. Weibull, W. New Methods for Computing Parameters of Complete or Truncated Distributions. F.F.A. (Sweden), Report No. 58, February 1955.Google Scholar
7. Hald, A. Maximum Likelihood Estimation of the Parameters of a Normal Distribution which is Truncated at a Known Point. Skandinavisk Actuarietidskrift, pp. 119134, 1949.Google Scholar
8. Bloomer, N. T. Time Saving in Statistical Fatigue Experiments. Engineering, 8th November 1957.Google Scholar
9. Freudenthal, A. M. and Gumbel, E. J. On the Statistical Interpretation of Fatigue Tests. Proc. Roy. Soc. (Mathematical and Physical Sciences) Series A, Vol. 216, p. 309, 1953.Google Scholar
10. Hald, A. Statistical Tables and Formulas. John Wiley, New York and London, 1952.Google Scholar