The relationships between tensile strength and microstructural parameters and between fatigue limit and microstructural parameters were investigated for seven tempered-martensitic steels S45C, SMn443, SCr440, SNCM439, SCM440, SUP7 and SUP12. An optical and atomic force microscopy showed that prior-austenitic grain diameter, d
γ, block width, W
blo, and precipitation spacing, λ, were 18μm, 0.7μm and 0.11∼0.24μm, respectively, as microstructural parameters. A nanoindentation showed that HV=100+Hv
*dls+Hv
*pre+Hv
*bou, where Hv is macro-Vickers hardness, and Hv
*pre and Hv
*bou are micro-covered Vickers hardness due to dislocation and solid, precipitation and block boundary strengthening. Hv
*pre and Hv
*bou were expressed by the microstructural parameters of λ and W
blo. The constant value of 100 is base hardness of the iron. Based on these results, we proposed that tensile strength σ
B and fatigue limit σ
w, were expressed in the followings. σ
B=3.27{100 + Hv
*dls + 1.02 × 10
-2λ
-1 + 3.67 × 10
-4λ
-1w
-1/2
blo}…………………………………(A-1) σ
w=1 .6{100 + Hv
*dls + 1.02 × 10
-2λ
-1 + 1.15(3.67 × 10
-4λ
-1w
-1/2
blo)}…………………………(A-2)
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