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Constitutive Model Parameter Identification for 6063 Aluminum Alloy Using Inverse Analysis Method for Extrusion Applications

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Abstract

Hot compression tests of the 6063 aluminum alloy were conducted using a Gleeble-3500 thermal simulation testing machine, and the stress–strain curves at different temperatures and strain rates were obtained. The Kocks–Mecking–Estrin (KME) constitutive model was used to describe the rheological properties, and the initial parameters were identified based on experimental data. The final parameters were identified by the inverse analysis method. The KME model was embedded in a plane compression finite element model by the ABAQUS UHARD subroutine. The multidisciplinary optimization design software ISIGHT was used to integrate the finite element method simulation and relative error calculation. A minimal relative error between the experimental and simulated results was set as the objective, and a multi-island genetic optimization algorithm was used to identify the constitutive parameters. The results showed good agreement between the simulated and measured compression specimen shapes, and the global error between the numerical and measured force–displacement data was only 3.8%. The inverse analysis method was more accurate than the fitting method in identifying the constitutive parameters. The extrusion of a round bar was simulated, and both temperature and extrusion force were accurately predicted by using this constitutive model, further proving that the inverse analysis method used in the present study is effective in identifying the constitutive parameters.

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References

  1. R.H. Wu, Y. Liu, Y. Xiao, J.R. Xu and Q.Q. Lin, Study on Hot Deformation Behavior and Intrinsic Workability of 6063 Aluminum Alloys Using 3D Processing Map, J. Alloys. Compd., 2017, 713, p 212–221.

    Article  Google Scholar 

  2. H. Zhu, C. Qin, J.Q. Wang and F.J. Qi, Characterization and Simulation of Mechanical Behavior of 6063 Aluminum Alloy Thin-Walled Tubes, Adv. Mater. Res., 2011, 198, p 1500–1508.

    Article  Google Scholar 

  3. Z.D. Xie, Y.J. Guan, J. Lin, J.Q. Zhai and L.H. Zhu, Constitutive Model of 6063 Aluminum Alloy Under the Ultrasonic Vibration Upsetting Based on Johnson-Cook Model, Ultrasonics, 2019, 96, p 1–9.

    Article  CAS  Google Scholar 

  4. T. Ye, L.X. Li, P.C. Guo, G. Xiao and Z.M. Chen, Effect of Aging Treatment on the Microstructure and flow Behavior of 6063 Aluminum Alloy Compressed Over a Wide Range of Strain Rate, Int. J. Impact. Eng., 2016, 90, p 72–80.

    Article  Google Scholar 

  5. H. Mecking and U.F. Kocks, Kinetics of Flow and Strain-Hardening, Acta. Metall., 1981, 29(11), p 1865–1875.

    Article  CAS  Google Scholar 

  6. J. Blaizot, T. Chaise, D. Nélias, M. Perez, S. Cazottes and P. Chaudet, Constitutive Model for Nickel Alloy 690 at Various Strain Rates and Temperatures, Int. J. Plast., 2016, 80, p 139–153.

    Article  CAS  Google Scholar 

  7. H. Zhong, P.A. Rometsch, L.C. Cao and Y. Estrin, The Influence of Mg/Si Ratio and Cu Content on the Stretch Formability of 6xxx Aluminium Alloys, Mater. Sci. Eng. A, 2015, 651, p 688–697.

    Article  Google Scholar 

  8. P.T. Summers, A.P. Mouritz, S.W. Case and B.Y. Lattimer, Microstructure-Based Modeling of Residual Yield Strength and Strain Hardening After Fire Exposure of Aluminum Alloy 5083–H116, Mater. Sci. Eng. A, 2015, 632, p 14–28.

    Article  CAS  Google Scholar 

  9. A. Bahrami, A. Miroux and J. Sietsma, Modeling of Strain Hardening in the Aluminum Alloy AA6061, Metal. l. Mater. Trans. A, 2013, 44(5), p 2409–2417.

    Article  CAS  Google Scholar 

  10. K. Changela, H. Krishnaswamy and R. Kumar, Mechanical behavior and deformation kinetics of aluminum alloys processed through cryorolling and subsequent annealing, Metal l Mater Trans A, 2020, 51(2), p 648–666.

    Article  CAS  Google Scholar 

  11. L. Wang, F. Liu, Q. Zuo and C.F. Chen, Prediction of Flow Stress for N08028 Alloy Under Hot Working Conditions, Mater. Des., 2013, 47, p 737–745.

    Article  CAS  Google Scholar 

  12. N.Y. Zolotorevsky, A.N. Solonin, A.Y. Churyumov and V.S. Zolotorevsky, Study of Work Hardening of Quenched and Naturally Aged Al–Mg and Al–Cu Alloys, Mater. Sci. Eng. A, 2009, 502, p 111–117.

    Article  Google Scholar 

  13. K.K. Mehta, R.K. Mandal and A.K. Singh, Orientation Dependent Work Hardening Behavior of Cold Rolled and Solution Annealed Hastelloy C-276 alloy, Mater. Today., 2017, 4(2), p 277–284.

    Google Scholar 

  14. A. Giuliano, D. Riccardo, R. Dario, G. Marcin and Z. Franco, The Role of Microstructure on the Tensile Plastic Behaviour of Ductile Iron GJS 400 Produced Through Different Cooling Rates—Part II: Tensile Modelling, Metals Open Access Metal. J., 2019, 9(9), p 1019–1030.

    Google Scholar 

  15. H. Cho and T. Altan, Determination of Flow Stress and Interface Friction at Elevated Temperatures By Inverse Analysis Technique, J. Mater. Process. Technol., 2005, 170(1–2), p 64–70.

    Article  CAS  Google Scholar 

  16. G. Wang, L.X. Li, B. Liu and X.Q. Li, Constitutive Parameters Identification of 6061 Aluminum Alloy During Hot Deformation with Inverse Methods, Trans. Nonferr. Metal. SOC., 2011, 021(12), p 3011–3018.

    Article  CAS  Google Scholar 

  17. J.M. Zhou, L.H. Qi and G.D. Chen, New Inverse Method for Identification of Constitutive Parameters, Trans. Nonferr. Metal. SOC., 2006, 016(1), p 148–152.

    Article  Google Scholar 

  18. M.T. Anaraki, M. Sanjari and A. Akbarzadeh, Modeling of High Temperature Theological Behavior of AZ61 Mg-Alloy Using Inverse Method and ANN, Mater. Des., 2008, 29(9), p 1701–1706.

    Article  CAS  Google Scholar 

  19. C.S. Zhang, J. Ding, Y.Y. Dong, G.Q. Zhao, A.J. Gao and L.J. Wang, Identification of Friction Coefficients and Strain-Compensated Arrhenius-Type Constitutive Model by a Two-Stage Inverse Analysis Technique, Int. J. Mech. Sci., 2015, 98, p 195–204.

    Article  Google Scholar 

  20. T. Sakai, A. Belyakov, R. Kaibyshev, H. Miura and J.J. Jonas, Dynamic and Post-Dynamic Recrystallization Under Hot, Cold and Severe Plastic Deformation Conditions, Prog. Mater. Sci., 2014, 60, p 130–207.

    Article  CAS  Google Scholar 

  21. Y. Estrin and H. Mecking, A Unified Phenomenological Description of Work Hardening and Creep Based on One-Parameter Models, Acta. Metall., 1984, 32(1), p 57–70.

    Article  Google Scholar 

  22. Y.C. Lin and X.M. Chen, A Critical Review of Experimental Results and Constitutive Descriptions for Metals and Alloys in Hot Working, Mater. Des., 2011, 32(4), p 1733–1759.

    Article  CAS  Google Scholar 

  23. A. Momeni, S. Kazemi and A. Bahrani, Hot Deformation Behavior of Microstructural Constituents in a Duplex Stainless Steel During High-Temperature Straining, Int. J. Min. Met. Mater., 2013, 020(010), p 953–960.

    Article  CAS  Google Scholar 

  24. S.K. Li, L.X. Li, Z.W. Liu and G. Wang, Effect of Extrusion Speed on Weld Strength of 6063 square tube, Trans. Nonferr. Metal. SOC., 2017, 29(9), p 1775–1784.

    Google Scholar 

  25. E. Sinha and B.S. Minsker, Multiscale Island Injection Genetic Algorithms for Groundwater Remediation, Adv. Water. Resour., 2007, 30(9), p 1933–1942.

    Article  Google Scholar 

  26. F. Fereshteh-Saniee, I. Pillinger and P. Hartley, Friction Modelling for the Physical Simulation of the Bulk Metal Forming Processes, J. Mater. Process. Technol., 2004, 153–154, p 151–156.

    Article  Google Scholar 

  27. W.R. Hou, Z.H. Zhang, J.X. Xie, Q.M. Ma and H.T. Gai, Temperature Inhomogeneity on Cross Section of Al Alloy Hollow Profile Based on Reverse Point Tracking Method, Chin. J. Nonferrous Metals, 2015, 25(7), p 1798–1807.

    CAS  Google Scholar 

  28. L. Li, H. Zhang, J. Zhou, J. Duszczyk, G.Y. Li and Z.H. Zhong, Numerical and Experimental Study on the Extrusion Through a Porthole Die to Produce a Hollow Magnesium Profile with Longitudinal Weld Seams, Mater. Des., 2008, 29(6), p 1190–1198.

    Article  Google Scholar 

  29. W.H.V. Geertruyden, W.Z. Misiolek and P.T. Wang, Surface Grain Structure Development During Indirect Extrusion of 6xxx Aluminum Alloys, J. Mater. Sci., 2005, 40(14), p 3861–3863.

    Article  Google Scholar 

  30. S. Kaneko, K. Murakami and T. Sakai, Effect of the Extrusion Conditions on Microstructure Evolution of the Extruded Al–Mg–Si–Cu Alloy Rods, Mater. Sci. Eng. A, 2009, 500(1–2), p 8–15.

    Article  Google Scholar 

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Funding

This work was supported by the National Natural Science Foundation of China [grant numbers U20A20275, 51975201]; the Foundation of Zhejiang Province Key Laboratory of Automobile Safety [grant number GL/20-002X] and the Natural Science Foundation of Hunan Province, China [grant number 2019JJ50054].

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, Hunan, China

    Liang Xu, Jianpeng Liu, Zhigang Xue, Congchang Xu, Hong He & Luoxing Li

  2. Zhejiang Key Laboratory of Automobile Safety Technology, Geely Automobile Research Institute (Ningbo) Co., Ltd., Ningbo, 315336, Zhejiang, People’s Republic of China

    Zaiqi Yao

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  1. Liang Xu
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  2. Zaiqi Yao
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  3. Jianpeng Liu
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  4. Zhigang Xue
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  5. Congchang Xu
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  6. Hong He
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  7. Luoxing Li
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Contributions

LX contributed to the conception of the study; ZY, JL, ZX performed the experiment; CX, HH contributed significantly to analysis and manuscript preparation; LL helped perform the analysis with constructive discussions.

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Correspondence to Luoxing Li.

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The authors declare that we do not have any financial and personal relationships with others people or organizations that can inappropriately influence our work. In addition, there is no professional or other personal interests of any nature or kind in any product, service and company for this work.

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Xu, L., Yao, Z., Liu, J. et al. Constitutive Model Parameter Identification for 6063 Aluminum Alloy Using Inverse Analysis Method for Extrusion Applications. J. of Materi Eng and Perform 30, 7449–7460 (2021). https://doi.org/10.1007/s11665-021-05897-9

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  • DOI: https://doi.org/10.1007/s11665-021-05897-9

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