The specific metal cutting energy is expressed as

where 'α' is rake angle, 'β' is friction angle, 'φ' is shear angle and 'τ' shear stress

1
\(\rm\frac{\tau \cos (\beta-\alpha)}{\sin \varphi \cos (\varphi+\beta-\alpha)}\)
2
\(\rm\frac{\tau \sin (\beta-\alpha)}{\sin \varphi \cos (\varphi-\beta+\alpha)}\)
3
\(\rm\frac{\tau \cos (\alpha-\beta)}{\sin \varphi \cos (\varphi-\beta+\alpha)}\)
4
\(\rm\frac{\tau \sin (\alpha-\beta)}{\sin \varphi \cos (\varphi+\beta-\alpha)}\)

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