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The computation of some slipline field solutions for asymmetric extrusion
Author(s) -
Das N. S.,
Chitkara N. R.,
Collins I. F.
Publication year - 1977
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620110904
Subject(s) - computation , mathematics , extrusion , field (mathematics) , set (abstract data type) , algebraic equation , square (algebra) , algebraic number , solution set , mathematical analysis , geometry , algorithm , pure mathematics , computer science , nonlinear system , materials science , physics , quantum mechanics , metallurgy , programming language
Two families of slipline field solutions for extrusion through unsymmetrical square dies, which have hitherto only been suggested qualitatively are computed and their ranges of validity determined. The solutions are of ‘indirect type’ and have been obtained using a technique by which the integral operators are approximated by matrices. The determination of the slipline angles and other field parameters corresponding to any given geometry requires the solution of a set of non‐linear algebraic equations. This is accomplished using a non‐linear optimization procedure.