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TECHNICAL PAPERS

A Statistical Methodolgy for the Preparation of a Competing Modes Fatigue Design Curve

[+] Author and Article Information
Gerald T. Cashman

 GE Aviation, 1 Neumann Way, M’D G-50, Cincinnati, OH 45215jerry.cashman@ge.com

J. Eng. Mater. Technol 129(1), 159-168 (Jan 01, 2007) (10 pages) doi:10.1115/1.2401619 History:

A methodology is presented for the preparation of a competing modes fatigue design curve. Examples using extruded and isothermally forged powder metallurgy René 95 are presented. Monte Carlo simulation results are given to identify sample size requirements appropriate for the generation of reliable design curves.

Copyright © 2007 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Linear fatigue response

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Figure 2

Curvilinear fatigue response

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Figure 3

Strain controlled low cycle fatigue data for René 95 at 399°C(750°F)

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Figure 4

Strain controlled low cycle fatigue data for René 95 at 538°C(1000°F)

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Figure 5

Microstructure of forged René 95 (500×)

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Figure 6

Probability of surface initiation as a function of pseudostress amplitude at 399°C(750°F)

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Figure 7

Probability of surface initiation as a function of pseudostress amplitude at 538°C(1000°F)

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Figure 8

Analysis of the surface and internally initiated failures at 399°C(750°F)

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Figure 9

Analysis of the surface and internally initiated failures at 538°C(1000°F)

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Figure 10

Competing modes analysis of the 399°C(750°F) results

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Figure 11

Competing modes analysis of the 538°C(1000°F) results

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Figure 12

Comparison of competing modes analysis to the surface and internal analyses at 399°C(750°F) results

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Figure 13

Comparison of competing modes analysis to the surface and internal analyses at 538°C(1000°F) results

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Figure 14

Simulation verification comparing sample tolerance limits to truth based upon the normal distribution

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Figure 15

Simulation verification comparing sample tolerance limits to truth based upon the non-central t distribution

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Figure 16

Confidence bands for the median competing modes model: 75 data points in sample

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Figure 17

Confidence bands for the median competing modes model: 100 data points in sample

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Figure 18

Confidence bands for the median competing modes model: 125 data points in sample

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Figure 19

Confidence bands for the median competing modes model: 150 data points in sample

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Figure 20

Schematic representation of linear fatigue response for both the median curve and the estimated tolerance limit. Note the ends of the tolerance limit prediction diverge from the median at both ends of the curve.

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Figure 21

Confidence bands on the competing modes tolerance limit. Tolerance limit calculated using the median value from the logistic regression. Sample size was 75 observations.

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Figure 22

Confidence bands on the competing modes tolerance limit. Tolerance limit calculated using the median value from the logistic regression. Sample size was 100 observations.

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Figure 23

Confidence bands on the competing modes tolerance limit. Tolerance limit calculated using the median value from the logistic regression. Sample size was 125 observations.

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Figure 24

Confidence bands on the competing modes tolerance limit. Tolerance limit calculated using the median value from the logistic regression. Sample size was 150 observations.

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Figure 25

Confidence bands on the competing modes tolerance limit. Tolerance limit calculated using the 95% confidence band from the logistic regression. Sample size was 75 observations.

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Figure 26

Confidence bands on the competing modestolerance limit. Tolerance limit calculated using the 95% confidence band from the logistic regression. Sample size was 100 observations.

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Figure 27

Confidence bands on the competing modes tolerance limit. Tolerance limit calculated using the 95% confidence band from the logistic regression. Sample size was 125 observations.

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Figure 28

Confidence bands on the competing modes tolerance limit. Tolerance limit calculated using the 95% confidence band from the logistic regression. Sample size was 150 observations.

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Figure 29

Confidence bands on the competing modes tolerance limit. Tolerance limit calculated using the 90% confidence band from the logistic regression. Sample size was 75 observations.

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Figure 30

Confidence bands on the competing modes tolerance limit. Tolerance limit calculated using the 90% confidence band from the logistic regression. Sample size was 100 observations.

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Figure 31

Confidence bands on the competing modes tolerance limit. Tolerance limit calculated using the 90% confidence band from the logistic regression. Sample size was 125 observations.

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Figure 32

Confidence bands on the competing modes tolerance limit. Tolerance limit calculated using the 90% confidence band from the logistic regression. Sample size was 150 observations.

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Figure 33

Confidence bands on the competing modes tolerance limit. Tolerance limit calculated using the 85% confidence band from the logistic regression. Sample size was 100 observations.

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Figure 34

Confidence bands on the competing modes tolerance limit. Tolerance limit calculated using the 80% confidence band from the logistic regression. Sample size was 100 observations.

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