Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Statistical Modeling for Fatigue Life

Version 1 : Received: 5 June 2023 / Approved: 6 June 2023 / Online: 6 June 2023 (08:14:05 CEST)

A peer-reviewed article of this Preprint also exists.

Harlow, D.G. Statistically Modeling the Fatigue Life of Copper and Aluminum Wires Using Archival Data. Metals 2023, 13, 1419. Harlow, D.G. Statistically Modeling the Fatigue Life of Copper and Aluminum Wires Using Archival Data. Metals 2023, 13, 1419.

Abstract

It has been known for nearly over 150 years that fatigue life data exhibits a considerable amount of variability. Furthermore, statistically modeling fatigue life adequately is challenging. Different empirical approaches have been used, each of which has merit; however, none is appropriate universally. Even when a sufficiently robust database exists, the scatter in the fatigue lives may be extremely large and difficult to characterize. The complications in empirical modeling are exacerbated for long life estimation when experimental observations are rare. The purpose of this work is to review traditional and more modern empirically based methodologies for estimating the cumulative distribution functions for fatigue life, given an applied load. To assess the applicability of the methods confidence bounds will be estimated. The analyses will be performed on an historic set of data for annealed aluminum wire tested in reverse torsion fatigue. These data are available in publications. It is recommended that a time dependent distribution function that is an based on principles of reliability that can be generalized for a variety of modeling applications should be considered for fatigue life estimation.

Keywords

fatigue life; mean square error; statistical modeling; stress – life modeling; Weibull distribution function

Subject

Engineering, Safety, Risk, Reliability and Quality

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