Sage Journals: Discover world-class research

Abstract

Two new phenomenological expressions for generalized constant-life curves are developed on the basis of a traditional fatigue constant-life curve. Parameter estimation formulae of the generalized constant-life curve are obtained from the standard procedure for regression analysis. From the generalized constant-life curves proposed, two-dimensional joint probability distributions of generalized strength are derived. Finally, the methods developed are used to analyse three sets of experimental data pertaining to the two-dimensional up-and-down tests for LY11 aluminium alloy and fracture threshold tests for aluminium alloy and alloyed steel in order to verify the practicability and validity of the new approaches. These matters have an important role in fatigue and fracture reliability analysis in ultra-long-life regions and need to be resolved.

Keywords

generalized constant-life curve generalized strength two-dimensional tests up-and-down method fracture threshold probability distribution

Get full access to this article

View all access options for this article.

References

Liard

Helicopter fatigue design guide. Report AGARD-AG-292, Advisory Group for Aeronautical Research and Development, Paris, 1983.

Gao

Z. T.

Statistics in fatigue, 1986, pp. 336–343 (National Defence Industry Press, Beijing).

Grubisic

Determination of load spectra for design and testing. Int. J. Veh. Des., 1994, 15, 8–26.

Neugebauer

I. R.

Grubisic

Fischer

Procedure for design optimization and durability life approval of truck axles and axle assemblies. SAE paper 892535, 1989.

Gao

Z. T.

Xiong

J. J.

Fatigue reliability, 2000, pp. 366–372 (Beijing University of Aeronautics and Astronautics Press, Beijing).

Avakov

V. A.

Shomperlen

R. G.

Fatigue reliability functions. Trans. ASME, J. Vibr., Acoust., Stress, Reliability Des., 1989, 111, 443–454.

Avakov

V. A.

Fatigue reliability function in semilog-rithmic coordinates. Trans. ASME, J. Mech. Des., 1991, 113, 352–358.

Murty

A. S. R.

Gupta

U. C.

Radha

A new approach to fatigue strength distribution for fatigue reliability evaluation. Int. J. Fatigue, 1995, 17(2), 85–89.

Ling

Pan

An engineering method for reliability analyses of mechanical structures for long fatigue lives. Reliability Engng System Safety, 1997, 56, 135–142.

10.

Dixon

W. J.

Mood

A. M.

A method for obtaining and analyzing sensitivity data. J. Am. Statist. Assoc., 1948, 43, 109–126.

11.

Finney

D. J.

Probit analysis, 1952 (Cambridge University Press, Cambridge).

12.

12 BS 3518–5. Methods of fatigue testing; part 5: guide to the application of statistics, 1966 (British Standards Institution, London).

13.

Little

R. E.

Jebe

E. H.

Statistical design of fatigue experiment, 1975 (Applied Science Publishers, London).

14.

Lin

S. K.

Lee

Y. L.

M. W.

Evaluation of the staircase and the accelerated test methods for fatigue limit distributions. Int. J. Fatigue, 2001, 23, 75–83.

15.

Haugen

E. B.

Probabilistic mechanical design, 1980 (John Wiley, New York).

16.

Stewart

M. G.

Reliability-based assessment of ageing bridges using risk ranking and life cycle cost decision analyses. Reliability Engng System Safety, 2001, 74, 263–273.

17.

Sendeckyj

G. P.

Constant life diagrams — a historical review. Int. J. Fatigue, 2001, 23, 347–353.

18.

Zhao

Wang

Fatigue design (in Chinese), 1992, pp. 48–51 (Mechanical Industry Press, Beijing).

19.

Kujawski

Ellyin

A unified approach to mean stress effect on fatigue threshold conditions. Int. J. Fatigue, 1995, 17, 101–106.

20.

Bathias

Paris

P. C.

Gigacycle fatigue in mechanical practice, 2005 (Marcel Dekker, New York).

21.

Weibull

Fatigue testing and analysis of results, 1961 (Macmillan, London).

22.

22 ASTM E647–93. Standard test method for measurement of fatigue crack growth rates, 1993 (ASTM International, West Conshohoken, Pennsylvania).

23.

Goodman

Mechanics applied to engineering, 1st edition, 1899 (Longmans, Green, London).

24.

Gerber

W. Z.

Bestimmung der zulässigen Spannungen in Eisen-Constructionen (calculation of the allowable stresses in iron structures). Z. Bayer. Arch. Ing. Ver., 1874, 6(6), 101–110.

25.

Soderberg

C. R.

Factor of safety and working stress. Trans. ASME, 1930, Part APM-52–2, 13–28.

26.

Bagci

Fatigue design of machine elements using the ‘Bagci line’ defining the fatigue failure surface line (mean stress diagram). Mechanism Mach. Theory, 1981, 16(4), 339–359.

Effect of the mean strength on the endurance limit or threshold value of the crack growth curve and two-dimensional joint probability distribution

Abstract

Keywords

Get full access to this article

References