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The stress intensity factor of small cracks at notches

TLDR
In this paper, it was shown that K-values calculated with this equation are an accurate approximation for the stress intensity factor of small cracks at notches, and available data on calculated K values was analyzed, which confirmed the similarity concept.
Abstract
— It was found in a previous publication that stress fields around notches are quantitatively very similar, if the peak stress at the notch root (σpeak) and the notch root radius (ρ) are the same. As a consequence, small cracks (length l) should have the same stress intensity factor, if σpeak and ρ are similar. This implies that the geometry factor C in should primarily depend on l/ρ only, and not on other dimensions. Available data on calculated K values was analysed, which confirmed the similarity concept. An equation for C as a function of l/ρ was obtained. It was shown that K-values calculated with this equation are an accurate approximation for the stress intensity factor of small cracks at notches.

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Citations
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Journal ArticleDOI

Estimations of stress intensity factors for small cracks at notches

TL;DR: In this article, a simple method for determining the stress intensity factors for small notch-emanating cracks is presented, which can be used for a variety of central and edge notches with through-thickness of semi-elliptical cracks.
Journal ArticleDOI

Prediction of the length of non‐propagating fatigue cracks

TL;DR: In this article, a simple linear elastic fracture mechanics model based on the Kitagawa-Takahashi diagram is presented to predict the occurrence and length of non-propagating cracks.
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Short crack propagation and closure effects in a508 steel

TL;DR: In this paper, a comparison of crack growth behavior for long cracks in CT specimens and smaller ones (∼0.3-0.5 mm) in four point bend specimens was made.
Journal ArticleDOI

Weight functions, CTOD, and related solutions for cracks at notches

TL;DR: In this paper, the authors present simple approximate formulae for calculating the weight functions associated with cracks emanating from a notch under arbitrary loading, both for short cracks and for long cracks.
References
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An improved method of collocation for the stress analysis of cracked plates with various shaped boundaries

TL;DR: Boundary collocation for two dimensional stress analysis of cracks emanating from or from near holes with various shapes was proposed in this paper, which is based on the concept of boundary collocation.
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On the Stresses in the Neighbourhood of a Circular Hole in a Strip under Tension

TL;DR: The problem of determining the stresses in a plate under tension when the material is pierced by one or more circular holes is one of both theoretical interest and practical importance as discussed by the authors, and the solution for a single hole is easily found and is well known.
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Fatigue cracks at notches

TL;DR: In this paper, the authors defined equivalent cracks in notched and unnotched situations as cracks with equal growth rates, and the concept of notch contribution to crack length was introduced.
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Stress gradients around notches

TL;DR: In this article, the variation of the tensile stress along the edge of the notch is considered and the results indicate a remarkable conformity of stress distributions at the notch root if the same peak stress and notch root radius (ρ) apply.

Predicting failure of specimens with either surface cracks or corner cracks at holes

TL;DR: In this paper, a previously developed fracture criterion was applied to fracture data for surface-cracked specimens subjected to remote tensile loading and for specimens with a corner crack emanating from a circular hole subjected to either remote tensiles loading or pin loading in the hole.