Optimal Die Profile for the Plane Strain Drawing of Sheets

Resumo

The ideal flow theory is used to determine the optimal die profile for the drawing and extrusion of sheets under the conditions of a plane strain. The solution is based on the theory of characteristics. In contrast to the available solutions based on the ideal flow theory, it is assumed that a portion of the die is prescribed. The solution is reduced to evaluating ordinary integrals. As an example, a die profile is found assuming that a portion of this profile is given and is a circular arc.