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Matematicheskoe modelirovanie, 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
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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.
Funding agency Grant number
Russian Science Foundation 16-49-02026
Received: 31.05.2017
English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 2, Pages 159–167
DOI: https://doi.org/10.1134/S2070048219020091
Document Type: Article
Language: Russian
Citation: E. A. Lyamina, O. V. Novozhilova, “An optimal die profile for plane strain drawing of sheets”, Matem. Mod., 30:7 (2018), 3–15; Math. Models Comput. Simul., 11:2 (2019), 159–167
Citation in format AMSBIB
\Bibitem{LyaNov18}
\by E.~A.~Lyamina, O.~V.~Novozhilova
\paper An optimal die profile for plane strain drawing of sheets
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 7
\pages 3--15
\mathnet{http://mi.mathnet.ru/mm3981}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 2
\pages 159--167
\crossref{https://doi.org/10.1134/S2070048219020091}
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    		Математическое моделирование
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