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 σ
w2 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 σ
w2 data of steels with H
B≥400, the σ
w2 values are evaluated by the fatigue crack initiation limit predicted using Linear Notch Mechanics and the relation between σ
w1 and σ
w2 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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