Determination of a machine learning constitutive model from biaxial tensile test: application to thermal forming limits prediction of AA6061 sheets from shear to equi-biaxial tension
Zhihao WANG, Dominique GUINES, Lionel LEOTOING
Abstract. Characterization and prediction of forming failure behaviors of aluminum alloys are crucial for achieving lightweight design. In this work, we investigated thermal forming limits of AA6061-T4 sheets from shear to equi-biaxial stretching using biaxial tensile test. The two primary failure modes, localized necking and fracture, were studied. A machine learning constitutive model of AA6061-T4 sheets, including temperature and strain rate dependent flow behaviors, was determined and implemented in simulations. Failure behaviors of the material under various proportional loadings were predicted using a machine learning constitutive model and an uncoupled fracture criterion.
Keywords
Biaxial Tensile Test, Thermal Formability, Constitutive Modeling, Machine Learning, Fracture Forming Limit
Published online 5/7/2025, 10 pages
Copyright © 2025 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Zhihao WANG, Dominique GUINES, Lionel LEOTOING, Determination of a machine learning constitutive model from biaxial tensile test: application to thermal forming limits prediction of AA6061 sheets from shear to equi-biaxial tension, Materials Research Proceedings, Vol. 54, pp 1891-1900, 2025
DOI: https://doi.org/10.21741/9781644903599-203
The article was published as article 203 of the book Material Forming
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] N. Wang, A. Ilinich, M. Chen, G. Luckey, G. D’Amours, A comparison study on forming limit prediction methods for hot stamping of 7075 aluminum sheet, Int. J. Mech. Sci. 151 (2019) 444-460. https://doi.org/10.1016/j.ijmecsci.2018.12.002
[2] B.T. Tang, S. Bruschi, A. Ghiotti, P.F. Bariani, An improved damage evolution model to predict fracture of steel sheet at elevated temperature, J. Mater. Process. Tech. 228 (2016) 76-87. https://doi.org/10.1016/j.jmatprotec.2015.08.007
[3] T. Naka, G. Torikai, R. Hino, F. Yoshida, The effects of temperature and forming speed on the forming limit diagram for type 5083 aluminum-magnesium alloy sheet, J. Mater. Process. Tech. 113 (2001) 648-653. https://doi.org/10.1016/S0924-0136(01)00650-1
[4] X. Chu, L. Leotoing, D. Guines, E. Ragneau, Temperature and strain rate influence on AA5086 Forming Limit Curves: Experimental results and discussion on the validity of the M-K model. Int. J. Mech. Sci. 78 (2014) 27-34. https://doi.org/10.1016/j.ijmecsci.2013.11.002
[5] G. Mahalle, A. Morchhale, N. Kotkunde, A.K. Gupta, Y.C. Lin, Forming and fracture limits of IN718 alloy at elevated temperatures: Experimental and theoretical investigation. J. Manuf. Process. 56 (2020) 482-499. https://doi.org/10.1016/j.jmapro.2020.04.070
[6] E. Hsu, J.E. Carsley, Verma R., Development of forming limit diagrams of aluminum and magnesium sheet alloys at elevated temperatures. J. Mater. Eng. Perform. 17 (2008) 288-296. https://doi.org/10.1007/s11665-007-9196-y
[7] J. Noder, C. Butcher, A comparative investigation into the influence of the constitutive model on the prediction of in-plane formability for Nakazima and Marciniak tests. Int. J. Mech. Sci. 163 (2019) 105138. https://doi.org/10.1016/j.ijmecsci.2019.105138
[8] R. Zhang, Z. Shao, Z. Shi, T.A. Dean, J. Lin, Effect of cruciform specimen design on strain paths and fracture location in equi-biaxial tension. J. Mater. Process. Tech. 289 (2021) 116932. https://doi.org/10.1016/j.jmatprotec.2020.116932
[9] L. Leotoing, D. Guines, I. Zidane, E. Ragneau, Cruciform shape benefits for experimental and numerical evaluation of sheet metal formability. J. Mater. Process. Tech. 213 (2013) 856-863. https://doi.org/10.1016/j.jmatprotec.2012.12.013
[10] X. Song, L. Leotoing, D. Guines, E. Ragneau, Characterization of forming limits at fracture with an optimized cruciform specimen: Application to DP600 steel sheets. Int. J. Mech. Sci. 126 (2017) 35-43. https://doi.org/10.1016/j.ijmecsci.2017.03.023
[11] Z. Wang, X. Chu, Z. Yue, L. Leotoing, J. Gao, A novel mechanical attachment for biaxial tensile test: Application to formability evaluation for DP590 at different temperatures. J. Mater. Res. Tech. 28(2024) 4025-4039. https://doi.org/10.1016/j.jmrt.2024.01.023
[12] Z. Wang, D. Guines, X. Chu, L. Leotoing, Characterization of forming limits at fracture from shear to plane strain with a dedicated cruciform specimen. Int. J. Mater. Form. 15 (2022) 7. https://doi.org/10.1007/s12289-022-01658-8.
[13] Z. Wang, D. Guines, X. Chu, L. Leotoing, Prediction and characterization of forming limits at necking from shear to equi-biaxial loading using the biaxial tensile testing method: Feasibility study and application to AA6061-T4. Mech. Mater. 179 (2023) 104598. https://doi.org/10.1016/j.mechmat.2023.104598
[14] W. Liu, D. Guines, L. Leotoing, E. Ragneau, Identification of sheet metal hardening for large strains with an in-plane biaxial tensile test and a dedicated cross specimen. Int. J. Mech. Sci. 101-102 (2015) 387-398. https://doi.org/10.1016/j.ijmecsci.2015.08.022
[15] J. Liang, D. Guines, L. Leotoing, Identification of thermo-viscoplastic behavior for AA6061 under in-plane biaxial loadings. Mech. Mater. 189 (2024) 104898. https://doi.org/10.1016/j.mechmat.2023.104898
[16] Y. Lou, L. Chen, T. Clausmeyer, A.E. Tekkaya, J.W. Yoon, Modeling of ductile fracture from shear to balanced biaxial tension for sheet metals. Int. J. Solid. Struct. 112 (2017) 169-184. https://doi.org/10.1016/j.ijsolstr.2016.11.034
