Abstract
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.
kcknτc/τs=sin2β/sin2ω, kckm_??_2.0… (3)
where, τc and τs are the shear flow stress of the work material at tool face and shear plane. Then, τc and τs, 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).
