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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2018 Volume 30, Number 7, Pages 3–15 (Mi mm3981)

An optimal die profile for plane strain drawing of sheets

E. A. Lyaminaa, O. V. Novozhilovab

a Institute for Problems in Mechanics RAS, Moscow
b Bauman Moscow State Technical University, Moscow

Abstract: The ideal flow theory is used to determine an optimal die profile for drawing and extrusion of sheets under plane strain conditions. The solution is based on the theory of characteristics. In contrast to available solutions based on the ideal flow theory, it is assumed that a portion of the die is prescribed. The solution reduces 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.

Keywords: ideal flow, method of characteristics, drawing, optimal die profile.

Received: 31.05.2017


 English version:
Mathematical Models and Computer Simulations, 2019, 11:2, 159–167


© Steklov Math. Inst. of RAS, 2024