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The Optimal Design of Extrusion Dies by the Finite Element Method
Author(s) -
Lotfi A.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310423
Subject(s) - finite element method , shape optimization , die (integrated circuit) , extrusion , optimal design , mathematics , spline (mechanical) , mathematical optimization , boundary (topology) , mechanical engineering , mathematical analysis , structural engineering , engineering , materials science , composite material , statistics
In this work, a method for calculation of the optimal shapes of axisymmetrical converging dies by the finite element method is presented. The shape optimization problem considered in this paper is to find the best shape of the die such that the flow rate will be uniform at the die exit.The optimization problem is to minimize an objective function by varying a part of boundary (ie: the shape of die) subject to constraints imposed by the metal forming problem. In this method, the B‐spline functions allow us to determine the shape of the die, using its control points as design variables.