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

Mathematical and Numerical Modelling of Copper Tube Extrusion after Optimizing Geometrical and Operating Parameters
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摘要 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 m<sup>2</sup>, length of 0.25 m, volume of 0.41 m<sup>3</sup> 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. 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 m<sup>2</sup>, length of 0.25 m, volume of 0.41 m<sup>3</sup> 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.
作者 Ngoy Moïse Raphaël Moramess Mulaja Tshakatumba Constantin Tshipeshi Makina Héritier Ntambwe Sapu Aaron Tubadi Diamba José Mwema Mutamba Edouard Ngoy Moïse Raphaël Moramess;Mulaja Tshakatumba Constantin;Tshipeshi Makina Héritier;Ntambwe Sapu Aaron;Tubadi Diamba José;Mwema Mutamba Edouard(Metallography and Materials Laboratory, Department of Metallurgy and Materials Science, Polytechnic Faculty of the University of Lubumbashi, Lubumbashi, Democratic Republic of Congo;2Electrical Engineering Laboratory, Department of Electromechanics, Polytechnic Faculty of the University of Lubumbashi, Lubumbashi, Democratic Republic of Congo;Department of Civil Engineering, Faculty of Industrial Engineer, University of Likasi, Likasi, Democratic Republic of Congo)
出处 《Journal of Minerals and Materials Characterization and Engineering》 2022年第2期127-138,共12页 矿物质和材料特性和工程(英文)
关键词 Copper Extrusion Mathematical Modelling Numerical Simulation Simplex Algorithm LS-DYNA Software Copper Extrusion Mathematical Modelling Numerical Simulation Simplex Algorithm LS-DYNA Software
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