Abstract
The article presents the mathematical model worked out for calculating the operating force of the wire drawing. The solution of the problem was achieved by dividing the wire work piece material in the deformation zone into an infinitely small finite elements ij; and, by parting the working area of the die geometry, consisting of crimping cone, drawing cylinder and the radius of curvature between them into infinitely small linear sections. The authors described the conditions for continuity at the finite element line, the dependencies required to determine the geometric grid sizes. To determine the total modified draw force, the authors obtained formulas to describe the stress condition at each point of the finite element, based on the motion equations, equations of velocity fields, the incompressibility condition, the deformation rate intensity, taking into account the speed factor and viscoplastic properties of the work material. The article presents the adequacy of the proposed model.
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