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Cracks at rounded V-notch tips: an analytical expression for the stress intensity factor

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Abstract

An analytical expression for the stress intensity factor related to a crack stemming from a blunted V-notch tip is put forward. The analysis is limited to mode I loading conditions, as long as the crack length is sufficiently small with respect to the notch depth. The proposed formula improves significantly the predictions of a recently introduced relationship, by considering a notch amplitude dependent parameter. Its values are estimated through a finite element analysis: different notch amplitudes, ranging from \(0^{\circ }\) to \(180^{\circ }\), and different crack length to root radius ratios, ranging from 0 to 10, are taken into account. The evaluation of the apparent generalized fracture toughness according to equivalent linear elastic fracture mechanics concludes the paper.

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Acknowledgments

Authors wish to thank prof. Lazzarin for useful discussions on the present topic. Furthermore, the support from the Italian Ministry of Education, University and Research of the Project FIRB 2010 Future in Research Structural Mechanics Models for Renewable Energy Applications (RBFR107AKG) is gratefully acknowledged.

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Sapora, A., Cornetti, P. & Carpinteri, A. Cracks at rounded V-notch tips: an analytical expression for the stress intensity factor. Int J Fract 187, 285–291 (2014). https://doi.org/10.1007/s10704-014-9932-x

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  • DOI: https://doi.org/10.1007/s10704-014-9932-x

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