Optimal Die Profile for the Plane Strain Drawing of Sheets


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Abstract

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.

About the authors

E. A. Lyamina

Institute for Problems in Mechanics, Russian Academy of Sciences

Author for correspondence.
Email: lyamina@inbox.ru
Russian Federation, Moscow, 119526

O. V. Novozhilova

Bauman Moscow State Technical University

Author for correspondence.
Email: helgam@bk.ru
Russian Federation, Moscow, 105005

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