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Quantitative evaluation of the fatigue limit of a metal with an arbitrary crack under a stress controlled condition – Stress Ratio R=−1

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Abstract

In this paper, the result from rotating bending fatigue tests of notched specimens are carried out on aluminum cast alloys and high strength steels with H B≃600 are reported. The threshold stress intensity factor range under a stress controlled condition, ΔK w, is introduced for the purpose of predicting the fatigue limit of a metal with an arbitrary crack. The ΔK w value of a long crack, ΔK wUL, is obtained from the fatigue crack propagation limit σw2 of specimens with a sharp and deep notch; ΔK w increases with crack length, and ΔK wUL is an upper limit of ΔK w. Since there are few σw2 data of steels with H B≥400, the σw2 values are evaluated by the fatigue crack initiation limit predicted using Linear Notch Mechanics and the relation between σw1 and σw2 at the branch point. Using ΔK wUL values of many metals with a long crack, the ΔK wUL values are approximated with a simple formula. Moreover the lower limit value of ΔK w versus the crack length, ΔK wLL, is proposed. Then using the ΔK w and ΔK wUL formulae and the ΔK wLL value, the smallness of a fatigue crack is clarified.

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Authors and Affiliations

  1. Graduate School of Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka-shi, Fukuoka, 812-8581, Japan

    Tatsujiro Miyazaki

  2. Faculty of Engneering, Kyushu University, Japan

    Hiroshi Noguchi & Keisaku Ogi

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  1. Tatsujiro Miyazaki
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  2. Hiroshi Noguchi
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  3. Keisaku Ogi
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Miyazaki, T., Noguchi, H. & Ogi, K. Quantitative evaluation of the fatigue limit of a metal with an arbitrary crack under a stress controlled condition – Stress Ratio R=−1. International Journal of Fracture 129, 21–38 (2004). https://doi.org/10.1023/B:FRAC.0000038886.80094.59

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  • DOI: https://doi.org/10.1023/B:FRAC.0000038886.80094.59

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