naa a22 4500 510790879 CHVBK 20180411083319.0 cr unu---uuuuu 180411e20130901xx s 000 0 eng 10.1007/s12289-012-1092-9 doi (NATIONALLICENCE)springer-10.1007/s12289-012-1092-9 The optimal die semi-angle concept in wire drawing, examined using automatic optimization techniques [Elektronische Daten] [T. Massé, L. Fourment, P. Montmitonnet, C. Bobadilla, S. Foissey] Coupling of evolutionary algorithms (EA) with meta-models (MM) is used to investigate the concept of the optimal die semi-angle in wire drawing. Traditional process design by minimization of the wire drawing force highlights an optimal die angle which increases with friction factor and reduction ratio. When wire drawing optimization is applied on the Latham and Cockcroft damage criterion, an optimal die semi-angle no longer appears: in this mono-objective optimization, the lowest industrially achievable die angle is recommended. Thanks to EA-MM coupling, multi-objective optimizations have been performed and the Pareto optimal front has been precisely plotted so as to find the best compromise. Simultaneous optimization of damage and wire drawing force suggests a refined vision of the optimal die semi-angle concept. Choosing a lower angle than the traditional optimum allows damage to be decreased without a significant increase of the drawing force. However, it is shown that a die semi-angle slightly above the optimum should be selected, for fear of friction drift; this explains the rather high traditional value of the angle. Springer-Verlag France, 2012 Wire drawing nationallicence High carbon steel nationallicence Multi-objective optimization nationallicence Metamodel assisted evolutionary strategy nationallicence Optimal die semi-angle concept nationallicence Damage nationallicence a : Behaviour law parameter nationallicence D max : Maximum value of the Latham and Cockcroft criterion nationallicence F : Wire drawing force nationallicence K : Behaviour law parameter nationallicence L : Die length nationallicence $$ \overline m $$ : Friction factor nationallicence N in : Initial population of individuals (evolution strategy and genetic algorithm) nationallicence N FEM : Number of processors nationallicence N max : Maximum number of FEM simulations nationallicence N param : Number of design variables nationallicence R : Reduction ratio nationallicence R e : Initial wire radius nationallicence R s : Final wire radius nationallicence X : Design variables vector (optimization) nationallicence α : Die semi-angle nationallicence α opt : Optimal die semi-angle nationallicence $$ \varepsilon_{eq}^p $$ : Equivalent plastic strain nationallicence ϕ : Objective function values nationallicence $$ \widetilde{\phi } $$ : Metamodel-approximated values of ϕ nationallicence Δ $$ \widetilde{\phi } $$ : Root mean square error of the Kriging approximation nationallicence λ : Elongation ratio nationallicence λ GA : Number of best individuals or parents (evolution strategy and genetic algorithm) nationallicence μ GA : Children of λ best individuals after selection, combination and mutation (evolution strategy and genetic algorithm) nationallicence σ 0 : Tensile yield stress nationallicence σ eq : Equivalent stress nationallicence τ c : Shear stress nationallicence Massé T. Mines ParisTech, CEMEF—Centre for Material Forming, CNRS UMR 7635, 1 Rue C. Daunesse, BP 207, 06904, Sophia-Antipolis Cedex, France aut Fourment L. Mines ParisTech, CEMEF—Centre for Material Forming, CNRS UMR 7635, 1 Rue C. Daunesse, BP 207, 06904, Sophia-Antipolis Cedex, France aut Montmitonnet P. Mines ParisTech, CEMEF—Centre for Material Forming, CNRS UMR 7635, 1 Rue C. Daunesse, BP 207, 06904, Sophia-Antipolis Cedex, France aut Bobadilla C. ArcelorMittal Gandrange, Research and development—Long Carbon Bars & Wires, BP 3, 57360, Amnéville, France aut Foissey S. ArcelorMittal Bourg-en-Bresse, Wire Solutions, 25 Avenue de Lyon, 01000, Bourg-en-Bresse, France aut International Journal of Material Forming Springer Paris 6/3(2013-09-01), 377-389 1960-6206 6:3<377 2013 6 12289 https://doi.org/10.1007/s12289-012-1092-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12289-012-1092-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Massé T. Mines ParisTech, CEMEF—Centre for Material Forming, CNRS UMR 7635, 1 Rue C. Daunesse, BP 207, 06904, Sophia-Antipolis Cedex, France aut NATIONALLICENCE 700 1- Fourment L. Mines ParisTech, CEMEF—Centre for Material Forming, CNRS UMR 7635, 1 Rue C. Daunesse, BP 207, 06904, Sophia-Antipolis Cedex, France aut NATIONALLICENCE 700 1- Montmitonnet P. Mines ParisTech, CEMEF—Centre for Material Forming, CNRS UMR 7635, 1 Rue C. Daunesse, BP 207, 06904, Sophia-Antipolis Cedex, France aut NATIONALLICENCE 700 1- Bobadilla C. ArcelorMittal Gandrange, Research and development—Long Carbon Bars & Wires, BP 3, 57360, Amnéville, France aut NATIONALLICENCE 700 1- Foissey S. ArcelorMittal Bourg-en-Bresse, Wire Solutions, 25 Avenue de Lyon, 01000, Bourg-en-Bresse, France aut NATIONALLICENCE 773 0- International Journal of Material Forming Springer Paris 6/3(2013-09-01), 377-389 1960-6206 6:3<377 2013 6 12289 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer