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The specific metal cutting energy is expressed aswhere '$$\alpha$$' is rake angle, '$$\beta$$' is friction angle, '$$\phi$$' is shear angle and '$$\tau$$' shear stress
$$\frac{\tau \cos(\beta - \alpha)}{\sin \phi \cos (\phi + \beta - \alpha)}$$
$$\frac{\tau \sin(\beta - \alpha)}{\sin \phi \cos (\phi - \beta + \alpha)}$$
$$\frac{\tau \cos(\alpha - \beta)}{\sin \phi \cos (\phi - \beta + \alpha)}$$
$$\frac{\tau \sin(\alpha - \beta)}{\sin \phi \cos (\phi + \beta - \alpha)}$$
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