The author proposed the general formula for the fatigue strength as follows: σ_nW=σ_n-k_1τ, \labeleq1where σ
nW and σ
n mean the fatigue strength,respectively,with or without diminishing the effect caused by repeated load having the stress difference τ in shearing,and
k1 is a coefficient depending on micro-slip-path besides τ. In other words, σ
n correspends to the separating strength discussed Previously.
For steel,
k1 is about 2.8∼3.3 and σ
t is equal to (2.3∼2.7)σ
u,where σ
u indicates the fatigue limit in single blow tension. Furthermore,the following expressions were derived, respectively: σ
W,fatigue limit in tension and compression=(0.53∼0.68)σ
u, σ
W′, fatigue limit in bending\doteqdot(1.1∼1.3)σ
W, τ
u, fatigue limit in single flow torsion\doteqdotσ
W, and τ
W, fatigue limit in double blow torsion=(0.3∼0.4)σ
u. With the same conception, for cast iron, σ
u′, σ
W′, σ
W″, τ
u′ and τ
W′ which correspond to σ
u, σ
W, σ
W′, τ
u and τ
W respectively, for steel, were expressed using stress concentration factor α
kt (in tension) or α
kt (in shearing), correcting factor
k2 against
k1 and factor δ in bending. For an example, for σ
W′ the following formula was derived : α_ktσ_W’=σ_t-k_1k_2(σ_kt/2+α_ks/2)σ_W’ \labeleq2
For steel containing
x% of carbon, an approximation was put forward empirically as follows: σ_Wx’=(0.6 ∼0.9){σ_fs+(σ_ps-σ_fs)(x/0.9)^2/3}\labeleq3
where σ
fs and σ
ps indicate the yceld point of firrite and pearlite, respectively. This idea could be applied also to the carburized steel, which is considered to be composed of harder outer case and softer inner part. Furthermore, the author discussed the outer notch effect on fatigue.
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