In this paper we clarified the mechanism of metal cutting based on the tool-chip contact length.
On the assumption that the work in a chip is in the range of plastic deformation, we introduced the "Limiting Angle θ
f", thinking of a slip line in the chip built up by the frictional stress along the tool-chip interface, cos 2θ
f=
sf/
sswhere
sf is shear stress on the tool-chip interface, and
ss is shear stress on the shear plane.
From experimental data on metal cutting, this angle was found to be equal to the angle determined geometrically from feed, rake angle, shear angle and tool-chip contact length.
This limiting angle, was found to be approximately a constant with a given material, independent of the cutting conditions. And a new cutting equation was obtained from the limiting angle.
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