110 2. RELIABILITY OF A COMPONENT UNDER CYCLIC LOAD
• When a component is subjected to model #6 cyclic loading spectrum, a series reliability
block diagram is used to calculate the reliability of the component. is is discussed in
Section 2.8.8.
e K-D probabilistic fatigue damage model uses all fatigue test data of the same material
fatigue specimen under different cyclic stress levels to provide a three-parameters distribution
model for describing material fatigue strength. ese three-parameters are m—the slope of the
traditional S-N curves in both log-axis scales,
ln k
0
—the log-mean of and
ln k
0
—the log-
standard deviation of lognormally distributed material fatigue strength index K
0
. When the K-
D model is used to deal with fatigue design of a component under a cyclic loading spectrum, we
can establish a limit state function of a component under any of the six models of cyclic loading
spectrums. erefore, the reliability of component under such cyclic loading spectrum can be
calculated by the definition of reliability, or the H-L method, R-F, or Monte Carlo method.
ese are discussed in Sections 2.9.5–2.9.11.
2.11 REFERENCES
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10.1002/9781118931189. 9, 72
[2] Budynas, R. G. and Nisbett, J. K., Shigley’s Mechanical Engineering Design, 10th ed., Mc-
Graw Hill Education, New York, 2014. 9, 16, 19, 27, 96
[3] Callister, W. D. Jr. and Rethwisch, D. R., Materials Science and Engineering: An Intro-
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70084, Tampa, FL, November 3–9, 2017. DOI: 10.1115/imece2017-70084. 11
[5] Ugural, A. C., Mechanical Design of Machine Components, 2nd ed., CRC Press, Taylor &
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[7] Rao, S. S., Reliability Engineering, Person, 2015. 16, 17, 20, 30, 36, 64
[8] Le, Xiaobin, Reliability-Based Mechanical Design, Volume 1: Component under Static Load,
Morgan & Claypool Publishers, San Rafael, CA, 2020. 22, 36, 60, 75, 77
[9] Haugen, E. B., Probabilistic Mechanical Design, John Wiley & Sons, Inc., 1980. 30, 36
2.11. REFERENCES 111
[10] Kececioglu, D. B., Smith, R. E., and Felsted, E. A., Distributions of cycles-to-failure in
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[11] Kececioglu, D. B., Robust Engineering Design-by-Reliability with Emphasis on Mechanical
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[12] Le, Xiaobin, A probabilistic fatigue damage model for describing the entire set of fatigue
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[13] ASTM STM E466—15, Standard Practice for Conducting Force Controlled Constant
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65269. 55
[17] Le, Xiaobin, e reliability calculation of components under any cyclic fatigue loading
spectrum, ASME International Mechanical Engineering Congress and Exposition, IMECE–
70084, Tampa, FL, November 3–9, 2017. DOI: 10.1115/imece2017-70084. 64
[18] Miner, M. A., Cumulative damage in fatigue, Journal of Applied Mechanics, vol. 12, no. 3,
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[19] Le, Xiaobin, Applications of the Monte Carlo method for estimating the reliability of
components under multiple cyclic fatigue loadings, ASME International Mechanical En-
gineering Congress and Exposition, IMECE–86130, Pittsburg, PA, November 9–15, 2018.
DOI: 10.1115/imece2018-86130. 70
[20] Suresh, S., Fatigue of Materials, Cambridge University Press, New York, 1998. DOI:
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