Abstract
This paper investigates the effect of relative displacement between tool and work piece surfaces on the boundary friction force, as well as the effect of the approach speed on it. Fundamental relations between the coefficient of friction and the friction factor are developed, so that the variable friction stress along the surface of contact can be desribed as a function of approach displacement and approach speed. The strain state is encountered in these relations. A mathematical model for the friction hill of plain upsetting (plane strain and axial symmetric) is derived on bases of the proposed friction analysis via the elementary theory of plasticity. Experiments are run on cold upsetting of mild steel with different lubricants, as a supporting laboratory data.
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