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Relationship between Defect Size and Fatigue Life Distributions in Al-7 Pct Si-Mg Alloy Castings

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Abstract

A new method for predicting the variability in fatigue life of castings was developed by combining the size distribution for the fatigue-initiating defects and a fatigue life model based on the Paris–Erdoğan law for crack propagation. Two datasets for the fatigue-initiating defects in Al-7 pct Si-Mg alloy castings, reported previously in the literature, were used to demonstrate that (1) the size of fatigue-initiating defects follow the Gumbel distribution; (2) the crack propagation model developed previously provides respectable fits to experimental data; and (3) the method developed in the present study expresses the variability in both datasets, almost as well as the lognormal distribution and better than the Weibull distribution.

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Acknowledgments

The author thanks Professor Peter D. Lee (Imperial College) for sharing his data, Dr. Qigui Wang (General Motors), Professor John Campbell (University of Birmingham, Birmingham, United Kingdom), and Professor Anthony Rollett (Carnegie Mellon University) for their comments on the manuscript.

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Authors and Affiliations

  1. Department of Engineering, Robert Morris University, Moon Township, PA, 15108, USA

    Murat Tiryakioğlu (Professor of Engineering)

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  1. Murat Tiryakioğlu
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Correspondence to Murat Tiryakioğlu.

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Manuscript submitted October 26, 2008.

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Tiryakioğlu, M. Relationship between Defect Size and Fatigue Life Distributions in Al-7 Pct Si-Mg Alloy Castings. Metall Mater Trans A 40, 1623–1630 (2009). https://doi.org/10.1007/s11661-009-9847-8

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