Simple New Expressions for the Notch Stress Intensity Factors in an Array of Narrow V–Notches Under Tension
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Taking advantage of some recent closed form expressions for the strain energy density in a control volume embracing the notch tip, some simple expressions are derived for the Notch Stress Intensity Factors of an infinite array of double symmetric lateral notches and edge notches under tension loading. The new expressions are applicable to narrow notches when the ratio between the notch depth and the plate width, a/W, is lower than 0.025 providing very accurate results.
KeywordsPeriodic notches Notch Stress Intensity Factor (NSIF) Strain Energy Density (SED) notch spacing narrow notches
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- Bazant Z.P., Ohtsubo H. (1977) Stability conditions for propagation of a system of cracks in a brittle solid. Mechanics Research Communications 4: 353–66Google Scholar
- Berto F., Lazzarin P., Matvienko Yu. (2007b) J–integral evaluation for U– and V–blunt notches under Mode I loading and materials obeying a power hardening law International Journal of Fracture 146: 33–51Google Scholar
- Berto F., CroccoloD. Cuppini R. (2008) Fatigue strength of a fork–pin equivalent coupling in terms of the local strain energy density Materials and Design 29: 1780–1792Google Scholar
- Erdogan F. (1962) On the stress distribution in plates with collinear cuts under arbitrary loads, Proceedings of the Fourth US National Congress of Applied Mechanics, 547–554.Google Scholar
- Harding S., Kotousov A., Lazzarin P., Berto F. (2010) Transverse singular effects in V–shaped notches stressed in Mode II, International Journal of Fracture 164: 1–14Google Scholar
- Kachanov M. (1985) A simple technique of stress analysis in elastic solids with many cracks. International Journal of Fracture 28: R11–R19Google Scholar
- Lachenbruch A.H. (1962) Mechanics of thermal contraction cracks and ice–wedge polygons in permafrost. Geological Society of America Special Paper. Waverly Press, Baltimore, MDGoogle Scholar
- Murakami Y. (2001) Stress intensity factors handbook, Volume 5. Elsevier Science Ltd, Oxford UKGoogle Scholar
- Tada, H., Paris, P.C, Irwin, G. (1985) The stress analysis of cracks handbook, St Louis, Paris Productions Incorporated and Del Research Corporate, 2nd ed.Google Scholar
- Williams M.L. (1952) Stress singularities resulting from various boundary conditions in angular corners of plates in tension. Journal of Applied Mechanics 19: 526–528Google Scholar