Precision machining and burr formation problems are closely connected with chip formation process. Still there is no general opinion about behavior of work material during cutting. In the paper the classical theory of plasticity is applied to the problem of metal cutting mechanics and new slip-line solution is proposed.
The suggested model make possible to solve analytically main tasks of metal cutting mechanics such as stress distribution on tool rake face, chip/tool contact length, cutting forces and shear angle for cutting by tool with whole rake face. It is shown that constant of plasticity in cutting corresponds Tresca plastic flow criterion and stress state in conventional shear plane is found. Several proofs of presented theory are given using experimental data of other researchers.
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