Identification of the large strain flow curve of high strength steel via the torsion test and FEMU

Identification of the large strain flow curve of high strength steel via the torsion test and FEMU


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Abstract. A torsion specimen is removed from the as-received thick high strength steel sheet (S700MC with a nominal thickness of 12 mm). The test material has a maximum uniform tensile strain of about 12 %. The torsion test is conducted up to fracture. The experimentally acquired torque-angle curve is then used to inversely identify the large strain flow curve up to an equivalent plastic strain of approximately 1. The identification strategy is based on the Finite Element Model Updating (FEMU) approach.

Large Strain Flow Curve, Torsion Test, Inverse Identification

Published online 4/19/2023, 8 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: VANCRAEYNEST Niels, COOREMAN Steven, COPPIETERS Sam, Identification of the large strain flow curve of high strength steel via the torsion test and FEMU, Materials Research Proceedings, Vol. 28, pp 1167-1174, 2023


The article was published as article 127 of the book Material Forming

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[1] S. Coppieters, H. Traphöner, F. Stiebert, T. Balan, T. Kuwabara, A.E. Tekkaya, Large strain flow curve identification for sheet metal, J. Mater. Process. Technol. 308 (2022) 117725.
[2] H. Zhang, S. Coppieters, C. Jiménez-Peña, D. Debruyne, Inverse identification of the post-necking work hardening behaviour of thick HSS through full-field strain measurements during diffuse necking, Mech. Mater. 129 (2019) 361-374.
[3] M.V. Erpalov, E.A. Kungurov, Examination of Hardening Curves Definition Methods in Torsion Test, Solid State Phen. 284 (2018) 598.
[4] N. Pardis, R. Ebrahimi, H.S. Kim, Equivalent strain at large shear deformation: Theoretical, numerical and finite element analysis, J. Appl. Res. Technol. 15 (2017) 442-448.
[5] S.C. Shrivastava, J.J. Jonas, G. Canova, Equivalent strain in large deformation torsion testing : theoretical and practical considerations, J. Mech. Phys. Solids 30 (1982) 75-90.
[6] A.H. Stang, W. Ramberg, G. Back, Torsion Tests of Tubes, Jan. 1937, Accessed: Nov. 15, 2022. [Online]. Available:
[7] P. Petrov, D. Shishkin, Y. Kalpin, I. Burlakov, S. Vydumkina, D. Kapitanenko, Determination of the flow curve based on the torsion of conical specimen, Procedia Manuf. 50 (2020) 520-528.
[8] A. Gavrus, E. Massoni, J.L. Chenot, An inverse analysis using a finite element model for identification of rheological parameters, J. Mater. Process. Technol. 60 (1996) 447-454.
[9] D. Debruyne et al., Towards Best Practice for Bolted Connections in High Strength Steels, 2019.
[10] S. Coppieters, T. Kuwabara, Identification of Post-Necking Hardening Phenomena in Ductile Sheet Metal, Exp. Mech. 54 (2014) 1355–1371.
[11] H. Shang, C. Zhang, S. Wang, Y. Lou, Large strain flow curve characterization considering strain rate and thermal effect for 5182-O aluminum alloy, Int. J. Mater. Forming 16 (2023) 1-20.
[12] H.W. Swift, Plastic instability under plane stress, J. Mech. Phys. Solids 1 (1952) 1-18.
[13] E. Voce, The relationship between stress and strain for homogeneous deformation, J. Inst. Metals 74 (1948) 537-562.
[14] M. di Donato, S. Bruschi, G. Hirt, M. Franzke, Flow curve determination by torsion tests using inverse modelling, 2016.
[15] S. Cooreman, Identification of the plastic material behaviour through full-field displacement measurements and inverse methods, PhD Thesis, VRIJE Universiteit Brussel, (2008).
[16] K. Denys, Investigation into the plastic material behaviour up to fracture of thick HSS using multi-DIC and FEMU, PhD Thesis, KU Leuven, (2017).