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Mathematical and Numerical Modelling of Copper Tube Extrusion after Optimizing Geometrical and Operating Parameters

DOI: 10.4236/jmmce.2022.102010, PP. 127-138

Keywords: Copper Extrusion, Mathematical Modelling, Numerical Simulation, Simplex Algorithm, LS-DYNA Software

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Abstract:

This study aimed to optimize cross-sectional area of the extruder and the flow rate of the material through the extruder. Extrusion process was first modelized using the continuum mechanics method before being simulated with the commercial software LS-DYNA using the Johnson-Cook model based on the finite element method after optimization of the factors with simplex algorithm. The study was carried out on a connecting rod: diameter of 145 mm, cross-section of 1.65 m2, length of 0.25 m, volume of 0.41 m3 and a mass of 37 kg. Optimum parameters obtained were temperature of 850℃, flow rate of 0.237 m/s, die diameter of 19.2 mm, pin diameter of 14 mm, extrusion strength of 565.6 kN and press pressure of 245 GPa. From these factors, a blank was obtained with external and internal diameters of 19.2 and 14 mm respectively over a length of 28 m with a thickness of 2.6 mm. Simulation using LS-DYNA software resulted in a difference in values of 7.4% between optimization and simulation when the difference of 2.4% was found between modelling and simulation. These values make the process optimal for industrial application to improve the extrusion requirements of copper tubes.

References

[1]  Perroset, J., et al. (2010) Extrusion des métaux, Méthodes de production. Ecole Polytechnique Fédérale de Lausanne, Lausanne, 3-13.
[2]  Leebal, N. (2007) Optimisation de la tête d’extrusion pour la fabrication de piècesthermoplastiques. Thèse de Doctorat, L’Institut National Polytechnique de Lorraine de France, Nancy.
[3]  Lepadatu, D. (2006) Optimisation des procédés de mise enforme par approchecouplée plans d’expériences, élémentsfinis et surface de réponse. Thèse de Doctorat, L’Institut des Sciences et Techniques de l’Ingénieur d’Angers, Angers.
[4]  Fournier, S., et al. (2009) Extrusion des métaux. Séminaire, Ecole Polytechnique de Lausanne, Lausanne.
[5]  Meyer, J., et al. (2008) Extrusion des métaux. Séminaire, Ecole Polytechnique de Lausanne, Lausanne.
[6]  Nguyen, H.D., et al. (2007) Extrusion des métaux. Séminaire, Ecole Polytechnique de Lausanne, Lausanne.
[7]  Quichaud, C., et al. (2009) Filage, Métallurgie. Edition 2009, Encyclopédia Universalis.
[8]  Kumar, S., Shanker, K. and Lal, G.K. (2003) A Generative Process Planning System for Cold Extrusion. International Journal of Production Research, 41, 269-295.
https://doi.org/10.1080/0020754021000020953
[9]  Collinet (1974) Ecoulement pendant le filage. Deuxime édition. Cefilac-Persan, Paris, France.
[10]  Shivpuri, R., et al. (2001) Investigation of Ecology Friendly Lubrication in High Speed Drawing of SSID Tubes. CIRP Annals—Manufacturing Technology, 50, 169-172.
https://doi.org/10.1016/S0007-8506(07)62097-6
[11]  Mariage, J.F. (2003) Simulation numérique de l’endommagement ductile enformage de piècesmassives. Thèse de Doctorat, Université de Technologie de Troyes, Troyes.
[12]  Gakwaya, A. (2009) Mécanique des milieux continus. Notes de cours, Université Laval, Québec.
[13]  Kadiata, B. (2015) Modélisation des procédés de mise enforme de composantes d’un train d’atterrissaged’avion. Mémoire, Université de Laval, Québec.
[14]  Pelissou, C. (2005) Discrétisationspatio-temporelle du problèmethermique à deux champs. Application au procédé de forgeage à chaud. Thèse de Doctorat, L’école Nationale Supérieure des Mines de Paris, Paris.
[15]  Fletcher, R., et al. (2006) Méthodes pratiques d’optimisation. 2nd Edition, The Computer Journal, Oxford University Press, Oxford.
[16]  Minoux, M. (1983) Programmationmathématique: Théorie et algorithmes, Collection Technique et Scientifique des Télécommunications. Dunod, Paris.
[17]  Bonnans, J.C., et al. (1997) Optimisation numérique: Aspects théories et pratiques. Springer, Berlin.
[18]  Gakwaya, A. (2009) Mécanique des milieux continus. Notes de cours, Université Laval, Québec.
[19]  Kirkpatrick, S., Gelatt, C.D. and Vecchi, M.P. (1983) Optimization by Simulated Annealing. Science, 220, 671-680.
https://doi.org/10.1126/science.220.4598.671
[20]  Hastings, W.K. (1970) Monte Carlo Sampling Methods Using Markov Chains and Their Applications. Biometrika, 57, 97-109.
https://doi.org/10.1093/biomet/57.1.97
[21]  Whalen, S., et al. (2021) Shear Assisted Processing and Extrusion of Aluminum Alloy 7075 Tubing at High Speed. In: Perander, L., Ed., Light Metals 2021. The Minerals, Metals & Materials Series, Springer, Cham, 277-280.
https://doi.org/10.1007/978-3-030-65396-5_41
[22]  Hosford, W.F., et al. (2011) Metal Forming: Mechanics and Metallurgy. 4th Edition, Cambridge University Press, Cambridge.
[23]  Sun, Y., et al. (2004) Optimization of a Flat Die Geometry. SPE Annual Technical Conference, 3, 3307-3311.
[24]  Fletcher, R. (2013) Practical Methods of Optimization. 2nd Edition, John Wiley & Sons Ltd., Hoboken.
[25]  Ettinger, H.J., et al. (2004) Parameterization and Optimization Strategies for the Automated Design of uPVC Profile Extrusion Dies. Structural and Multidisciplinary Optimization, 28, 180-194.
https://doi.org/10.1007/s00158-004-0440-x
[26]  Bonté, M., van den Boogaard, A. and Huétink, J. (2005) Metamodelling Techniques for the Optimization of Metal Forming Processes. Proceedings of ESAFORM, Cluj-Napoca, 27-29 April 2005, 155-158.
[27]  Minoux, M. (1983) Programmationmathématique: Théorie et algorithmes. Collection Technique et Scientifique des Télécommunications. Dunod, Paris.
[28]  Boggs, P. and Tolle, J. (1995) Sequential Quadratic Programming. Acta Numerica, 4, 1-51.
[29]  Bonnans, J.F., et al. (1997) Mathématiques et Applications, Vol. 27: Optimisation Numérique—Aspects théoriques et pratiques. Springer, Berlin.
[30]  Staub, C. (1998) Modélisationdynamique des procédés de forgeage. I.S.A.A. Thèse de Doctorat, Institut National des Sciences Appliquées de Lyon, Lyon.
[31]  Salencon, J. (2016) Mécaniques des milieux continus, Concepts généraux, Tome 1. Edition de l’Ecole Polytechnique.
[32]  Yoshida, K. and Furuya, H. (2004) Mandrel Drawing and Plug Drawing of Shape Memory-Alloy Fine Tubes Used in Catheters and Stents. Journal of Materials Processing Technology, 153-154, 145-150.
https://doi.org/10.1016/j.jmatprotec.2004.04.182
[33]  Neves, F.O., et al. (2005) Numerical and Experimental Analysis of Tube Drawing with Fixed Plug. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 27, 426-431.
https://doi.org/10.1590/S1678-58782005000400011
[34]  Palengat, M., et al. (2007) Tube Drawing Process Modelling by a Finite Element Analysis. AIP Conference Proceedings, 908, Article No. 705.
https://doi.org/10.1063/1.2740893

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