A model for free oblique continuous cutting is proposed. In addition to the hypotheses used in Merchant’s model for free oblique continuous cutting, coincidence of chip-tool friction force with the direction of chip flow on the tool face is assumed; moreover, the deformation process in the primary deformation zone is considered as a case of plane strain. The direction of chip flow is predicted and is found to be function of the cutting conditions. The theoretical predictions compare favorably—less than 10 percent discrepancies—with experimental data published in literature for conditions of low friction at chip tool interface.

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