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Predictions of Crack Growth Rates, R-Ratio and Overload Effects Based on Smooth Specimen LCF Data and the Moving Plastic Stress Field Ahead of the Crack Tip

Submitted:

20 April 2026

Posted:

21 April 2026

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Abstract
Previous work has attempted, often within the framework of strip yield-type models, to predict crack growth rates based on the accumulation of fatigue damage ahead of the crack tip as it moves through a structure. This study performs similar calculations using results from plastic 2D plane stress analyses run on a finite element (FE) model containing a sharp semi-circular notch representing an edge crack. Stress-distance profiles ahead of the crack tip (notch root) were extracted at the maximum and minimum points of a range of fatigue cycles with different loading amplitudes. These were used with data from smooth specimen Low Cycle Fatigue (LCF) tests to predict the build-up of fatigue damage at regularly spaced locations ahead of the crack tip and hence crack growth rates. The FE analyses were performed for a wide range of Kmax values at loading R-ratios of 0, -1 and 0.5, and the growth rate predictions were compared with test data. The method was then extended to predict overload behaviour. The material studied was the nickel-based superalloy fine grain (FG) RR1000 at 20°C.
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Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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