Springback Prediction of 6XXX-Series Aluminum: Effect of Hardening Model, Friction and Binder Loading

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Abstract:

Predicting the final shape of automotive structural components after springback is a challenge to the inclusion of high strength aluminum alloys into the vehicle body-in-white. Complex deformation paths and reverse loading of sheet material during forming operations can induce significant Bauschinger effects and kinematic hardening behaviour. Capturing the through-thickness stress gradient is critical when predicting springback, which is governed by tooling dynamics, frictional forces, and material plasticity. In this study, the anisotropic behaviour of a AA6xxx-T4 aluminum alloy was characterized to calibrate a BBC2005 yield function, kinematic hardening effects were characterized through a novel uniaxial compression-tension technique, and a technology demonstrator U-shaped rail component was formed and scanned to assess the final shape after springback. Multiple model variations were analyzed in AutoForm R12, modifying simulation control parameters, binder loading condition (uniform vs. column), friction model (Coulomb vs. TriboForm), and hardening model (isotropic vs. kinematic). The use of column binder loading paired with TriboForm friction model provided the most significant improvement for thinning and springback prediction accuracy with kinematic hardening being a second order effect compared to accounting for friction and binder force.

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[1] W. Zhang and J. Xu, "Advanced lightweight materials for automobiles: A Review," Materials & Design, vol. 221, p.110994, Sep. 2022.

DOI: 10.1016/j.matdes.2022.110994

Google Scholar

[2] I. N. Fridlyander et al., "Aluminum alloys: Promising materials in the automotive industry," Metal Science and Heat Treatment, vol. 44, no. 9–10, p.365–370, Sep. 2002.

DOI: 10.1023/a:1021901715578

Google Scholar

[3] X. Guo, Y. Gu, H. Wang, K. Jin, and J. Tao, "The bauschinger effect and mechanical properties of AA5754 aluminum alloy in incremental forming process," The International Journal of Advanced Manufacturing Technology, vol. 94, no. 1–4, p.1387–1396, Aug. 2017.

DOI: 10.1007/s00170-017-0965-y

Google Scholar

[4] H. Ul Hassan, H. Traphöner, A. Güner, and A. E. Tekkaya, "Accurate springback prediction in deep drawing using pre-strain based multiple cyclic stress–strain curves in finite element simulation," International Journal of Mechanical Sciences, vol. 110, p.229–241, May 2016.

DOI: 10.1016/j.ijmecsci.2016.03.014

Google Scholar

[5] P.-A. Eggertsen and K. Mattiasson, "On the identification of kinematic hardening material parameters for accurate springback predictions," International Journal of Material Forming, vol. 4, no. 2, p.103–120, Dec. 2010.

DOI: 10.1007/s12289-010-1014-7

Google Scholar

[6] P. Solfronk, J. Sobotka, and D. Korecek, "Utilization of advanced computational methods to predict spring-back of aluminium alloys in automotive industry," Manufacturing Technology, vol. 20, no. 1, p.98–103, Aug. 2020.

DOI: 10.21062/mft.2020.006

Google Scholar

[7] F. Yoshida and T. Uemori, "A model of large-strain cyclic plasticity describing the bauschinger effect and workhardening stagnation," International Journal of Plasticity, vol. 18, no. 5–6, p.661–686, Oct. 2002.

DOI: 10.1016/s0749-6419(01)00050-x

Google Scholar

[8] H. J. Bong, J. Lee, and M.-G. Lee, "Finite element modeling of springback behaviour for aluminum 6000 series sheets using three-point bending tests," International Journal of Automotive Technology, vol. 26, no. 5, p.1285–1294, May 2025.

DOI: 10.1007/s12239-025-00260-6

Google Scholar

[9] J.-Y. Lee, F. Barlat, and M.-G. Lee, "Constitutive and friction modeling for accurate springback analysis of Advanced High Strength Steel Sheets," International Journal of Plasticity, vol. 71, p.113–135, Aug. 2015.

DOI: 10.1016/j.ijplas.2015.04.005

Google Scholar

[10] J. Y. Lee, "Evaluation of Constitutive Models for Springback Prediction in U-draw/bending of DP and TRIP Steel Sheets," thesis, Pohang University of Science and Technology, Pohang, 2011.

DOI: 10.1063/1.3623659

Google Scholar

[11] I. Gil, J. Mendiguren, L. Galdos, E. Mugarra, and E. Saenz de Argandoña, "Influence of the pressure dependent coefficient of friction on deep drawing springback predictions," Tribology International, vol. 103, p.266–273, Nov. 2016.

DOI: 10.1016/j.triboint.2016.07.004

Google Scholar

[12] W. MA, B. WANG, L. FU, J. ZHOU, and M. HUANG, "Effect of friction coefficient in deep drawing of AA6111 sheet at elevated temperatures," Transactions of Nonferrous Metals Society of China, vol. 25, no. 7, p.2342–2351, Jul. 2015.

DOI: 10.1016/s1003-6326(15)63849-3

Google Scholar

[13] M. Mohamed, M. Farouk, A. Elsayed, M. Shazly, and A. A. Hegazy, "An investigation of friction effect on formability of AA 6061-T4 sheet during cold forming condition," AIP Conference Proceedings, vol. 1892, p.080025, 2017.

DOI: 10.1063/1.5008105

Google Scholar

[14] Y. Gao, H. Li, D. Zhao, M. Wang, and X. Fan, "Advances in friction of aluminium alloy deep drawing," Friction, vol. 12, no. 3, p.396–427, Jul. 2023.

DOI: 10.1007/s40544-023-0761-7

Google Scholar

[15] C. Bolay et al., "Friction modelling in sheet metal forming simulations for aluminium body parts at Daimler AG," IOP Conference Series: Materials Science and Engineering, vol. 651, no. 1, p.012104, Nov. 2019.

DOI: 10.1088/1757-899x/651/1/012104

Google Scholar

[16] S. Berahmani, C. Bilgili, G. Erol, J. Hol, and B. Carleer, "The effect of friction and lubrication modelling in stamping simulations of the ford transit hood inner panel: A numerical and experimental study," IOP Conference Series: Materials Science and Engineering, vol. 967, no. 1, p.012010, Nov. 2020.

DOI: 10.1088/1757-899x/967/1/012010

Google Scholar

[17] ASTM International, "ASTM E8/E8M-25, Standard Test Methods for Tension Testing of Metals", 2025.

Google Scholar

[18] A. Abedini, A. Narayanan, and C. Butcher, "A deterministic methodology to calibrate pressure-independent anisotropic yield criteria in plane strain tension using finite-element analysis," Applied Mechanics, vol. 3, no. 3, p.905–934, Jul. 2022.

DOI: 10.3390/applmech3030052

Google Scholar

[19] International Organization for Standardization, "ISO 16808:2022, Metallic materials - Sheet and strip - Determination of biaxial stressstrain curve by means of bulge test with optical measuring systems, 2022.

DOI: 10.3403/30254283u

Google Scholar

[20] A. Narayanan, A. Abedini, A. Weinschenk, M. J. Worswick, and C. Butcher, "Evaluation of simple shear test geometries for constitutive characterization using virtual experiments," IOP Conference Series: Materials Science and Engineering, vol. 1157, no. 1, p.012066, Jun. 2021.

DOI: 10.1088/1757-899x/1157/1/012066

Google Scholar

[21] A. Narayanan et al., "Identification of the plane strain yield strength of anisotropic sheet metals using inverse analysis of Notch tests," SAE Technical Paper Series, vol. 1, Mar. 2022.

DOI: 10.4271/2022-01-0241

Google Scholar

[22] F. Barlat et al., "Plane stress yield function for aluminum alloy sheets-part 1: Theory," International Journal of Plasticity, vol. 19, no. 9, p.1297–1319, Sep. 2003.

DOI: 10.1016/s0749-6419(02)00019-0

Google Scholar

[23] D. Banabic, H. Aretz, D. S. Comsa, and L. Paraianu, "An improved analytical description of orthotropy in metallic sheets," International Journal of Plasticity, vol. 21, no. 3, p.493–512, Mar. 2005.

DOI: 10.1016/j.ijplas.2004.04.003

Google Scholar

[24] T. Kuwabara, T. Mori, M. Asano, T. Hakoyama, and F. Barlat, "Material modeling of 6016-O and 6016-T4 aluminum alloy sheets and application to hole expansion forming simulation," International Journal of Plasticity, vol. 93, p.164–186, Jun. 2017.

DOI: 10.1016/j.ijplas.2016.10.002

Google Scholar

[25] A. Abedini, A. Narayanan, and C. Butcher, "An investigation into the characterization of the hardening response of sheet metals using tensile and shear tests with surface strain measurement," Forces in Mechanics, vol. 7, p.100090, May 2022.

DOI: 10.1016/j.finmec.2022.100090

Google Scholar

[26] J. M. Choung and S. R. Cho, "Study on true stress correction from tensile tests," Journal of Mechanical Science and Technology, vol. 22, no. 6, p.1039–1051, Jun. 2008.

DOI: 10.1007/s12206-008-0302-3

Google Scholar

[27] D. K. Banerjee, C. A. Calhoun, M. A. Iadicola, W. E. Luecke, and T. J. Foecke, "Toward development of optimum specimen designs and modeling of in-plane uniaxial compression testing of aluminum alloy 2024 and AISI 1008 steel sheet material," Journal of Physics: Conference Series, vol. 1063, p.012068, Jul. 2018.

DOI: 10.1088/1742-6596/1063/1/012068

Google Scholar

[28] L. Pilozo-Hibbit, "Characterization of 6xxx Aluminum Alloys for Forming and Springback Simulations," thesis, University of Waterloo, Waterloo, 2026.

Google Scholar

[29] D. H. Chung and W. R. Buessem, "The voigt-reuss-hill approximation and elastic moduli of polycrystalline mgo, caf2, β-zns, ZnSe, and CdTe," Journal of Applied Physics, vol. 38, no. 6, p.2535–2540, May 1967.

DOI: 10.1063/1.1709944

Google Scholar

[30] H. M. Ledbetter and M. W. Austin, "Effects of carbon and nitrogen on the elastic constants of AISI Type 304 stainless steel," Materials Science and Engineering, vol. 70, p.143–149, Apr. 1985.

DOI: 10.1016/0025-5416(85)90275-7

Google Scholar

[31] V. Luzin, S. Banovic, T. Gnäupel-Herold, H. Prask, and R. E. Ricker, "Measurement and calculation of elastic properties in low carbon steel sheet," Materials Science Forum, vol. 495–497, p.1591–1596, Sep. 2005.

DOI: 10.4028/www.scientific.net/msf.495-497.1591

Google Scholar

[32] N. Deng and Y. P. Korkolis, "Elastic anisotropy of dual-phase steels with varying martensite content," International Journal of Solids and Structures, vol. 141–142, p.264–278, Jun. 2018.

DOI: 10.1016/j.ijsolstr.2018.02.028

Google Scholar

[33] Q. Meng, J. Zhao, Z. Mu, R. Zhai, and G. Yu, "Springback prediction of multiple reciprocating bending based on different hardening models," Journal of Manufacturing Processes, vol. 76, p.251–263, Apr. 2022.

DOI: 10.1016/j.jmapro.2022.01.070

Google Scholar

[34] D. K. Banerjee, W. E. Luecke, M. A. Iadicola, and E. Rust, "Evaluation of methods for determining the Yoshida-uemori combined isotropic/kinematic hardening model parameters from tension-compression tests of advanced lightweighting materials," Materials Today Communications, vol. 33, p.104270, Dec. 2022.

DOI: 10.1016/j.mtcomm.2022.104270

Google Scholar

[35] International Organization for Standardization, "ISO 12004-2:2021, Metallic materials - Determination of forming-limit curves for sheet and strip - Part 2: Determination of forming-limit curves in the laboratory, 2021.

DOI: 10.3403/30150423

Google Scholar

[36] J. Noder and C. Butcher, "A comparative investigation into the influence of the constitutive model on the prediction of in-plane formability for Nakazima and Marciniak Tests," International Journal of Mechanical Sciences, vol. 163, p.105138, Nov. 2019.

DOI: 10.1016/j.ijmecsci.2019.105138

Google Scholar

[37] M. C. Oliveira, C. Gomes, D. M. Neto, J. L. Alves, and L. F. Menezes, "Influence of process and material parameters on the twist springback prediction of a panel," IOP Conference Series: Materials Science and Engineering, vol. 1284, no. 1, p.012067, Jun. 2023.

DOI: 10.1088/1757-899x/1284/1/012067

Google Scholar

[38] D. J. Zhou and K. Kannan, The Effect of Combination Beads on Springback: Experimental Study & Virtual Study, presented at the GDIS Conference, 2021.

Google Scholar

[39] J. F. Wang, R. H. Wagoner, W. D. Carden, D. K. Matlock, and F. Barlat, "Creep and Anelasticity in the springback of aluminum," International Journal of Plasticity, vol. 20, no. 12, p.2209–2232, Dec. 2004.

DOI: 10.1016/j.ijplas.2004.05.008

Google Scholar