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Research Papers

Validation of Notch Sensitivity Factors

[+] Author and Article Information
Barna Szabó

Engineering Software Research
and Development, Inc.,
St. Louis, MO 63146
e-mail: barna.szabo@esrd.com

Ricardo Actis

Engineering Software Research
and Development, Inc.,
St. Louis, MO 63146
e-mail: ricardo.actis@esrd.com

David Rusk

NAVAIRSYSCOM,
Patuxent River, MD 20670
e-mail: david.rusk@navy.mil

1Corresponding author.

2The current designations of these materials are 2024-T3 and 7075-T6, respectively.

Manuscript received May 10, 2018; final manuscript received July 9, 2019; published online August 2, 2019. Assoc. Editor: Sez Atamturktur.This work is in part a work of the U.S. Government. ASME disclaims all interest in the U.S. Government's contributions.

J. Verif. Valid. Uncert 4(1), 011004 (Aug 02, 2019) (8 pages) Paper No: VVUQ-18-1016; doi: 10.1115/1.4044236 History: Received May 10, 2018; Revised July 09, 2019

An end-to-end example of the application of the procedures of verification, validation, and uncertainty quantification (VVUQ) is presented with reference to mathematical models formulated for the prediction of fatigue failure in the high cycle range. A validation metric based on the log likelihood function is defined. It is shown that the functional forms of the notch sensitivity factors proposed by Neuber and Peterson cannot be validated but a revised form can be. Calibration and validation are based on published records of fatigue tests performed on notch-free and notched test coupons fabricated from aluminum alloy and alloy steel sheets.

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References

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Grover, H. J. , Bishop, S. M. , and Jackson, L. R. , 1951, “ Fatigue Strengths of Aircraft Materials: Axial-Load Fatigue Tests on Notched Sheet Specimens of 24S-T3 and 75S-T6 Aluminum Alloys and of SAE 4130 Steel with Stress Concentrations Factors of 2.0 and 4.0,” National Advisory Committee for Aeronautics, Washington, DC, Report No. 2389. https://digital.library.unt.edu/ark:/67531/metadc56104/m1/2/
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Figures

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Fig. 1

Random fatigue model: S–N curve for 24S-T3 aluminum alloy

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Fig. 2

Empirical relationship between the parameters a and r for 24S-T3 aluminum alloy

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Fig. 3

24S-T3 aluminum alloy: Combined results of fatigue experiments performed on nine notched specimen types

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Fig. 4

Notch sensitivity of aluminum

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Fig. 5

75S-T6 aluminum alloy: Combined results of fatigue experiments performed on nine notched specimen types

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Fig. 6

SAE 4130 steel: Combined results of fatigue experiments performed on nine notched specimen types

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Fig. 7

Marginal cumulative distributions functions of the random fatigue limit model for 24S-T3 aluminum. The stress values are in ksi units.

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Fig. 8

Empirical CDF of the S–N data compared with the median predicted by the random fatigue limit model for 24S-T3 aluminum alloy

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