From the experiments on the cutting of 0.4% carbon steel, in which cutting speed, rake angle, feed and workpiece temperature (hot machining) were varied, following relations were found :
ω≡φ+β-α=
f(α) … (1)
m=
kmt1sinω/sinφcosβ,
km_??_2.0… (2).
Notations are shown in Fig. 1.
Applying the total reflection method to the cutting of lead by a glass prism, it was found that the ratio of the true tool-chip contact area to the apparent contact area,
kc, was nearly equal to 1.
Considering the balance of force and equation (2), the following was obtained.
kcknτ
c/τ
s=sin2β/sin2ω,
kckm_??_2.0… (3)
where, τ
c and τ
s are the shear flow stress of the work material at tool face and shear plane. Then, τ
c and τ
s, which should be determined by the temperature, the strain and the strain rate at both zones, are known, β and φ can be determined from the equation (1) and (3).
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