A calibration method for failure modeling in clinching process simulations

A calibration method for failure modeling in clinching process simulations

Max Böhnke, Christian Roman Bielak, Johannes Friedlein, Mathias Bobbert, Julia Mergheim, Gerson Meschut, Paul Steinmann

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Abstract. In the numerical simulation of mechanical joining technologies such as clinching, the material modeling of the joining parts is of major importance. This includes modeling the damage and failure behavior of the materials in accordance with varying occurring stress states. This paper presents a calibration method of three different fracture models. The calibration of the models is done by use of experimental data from a modified punch test, tensile test and bulge test in order to map the occurring stress states from clinching processes and to precisely model the resulting failure behavior. Experimental investigations were carried out for an aluminum alloy
EN AW-6014 in temper T4 and compared with the simulative results generated in LS-DYNA. The comparison of force-displacement curves and failure initiation shows that the Hosford–Coulomb model predicts the failure behavior for the material used and the tests applied with the best accuracy.

Damage, Failure, Clinching

Published online 3/17/2023, 8 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Max Böhnke, Christian Roman Bielak, Johannes Friedlein, Mathias Bobbert, Julia Mergheim, Gerson Meschut, Paul Steinmann, A calibration method for failure modeling in clinching process simulations, Materials Research Proceedings, Vol. 25, pp 271-278, 2023

DOI: https://doi.org/10.21741/9781644902417-34

The article was published as article 34 of the book Sheet Metal 2023

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

[1] DVS – Merkblatt DVS/EFB 3420: Clinching – basics (2018).
[2] M. Jäckel et al., Process-oriented Flow Curve Determination at Mechanical Joining, Procedia Manufacturing 47 (2020) 368–374. https://doi.org/10.1016/j.promfg.2020.04.289
[3] F. Bron, J. Besson, Simulation of the ductile tearing for two grades of 2024 aluminum alloy thin sheets, Engineering Fracture Mechanics 73 (2006) 1531–1552. https://doi.org/10.1016/j.engfracmech.2006.01.024
[4] G.R. Johnson, W.H. Cook, Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures, Eng. Frac. Mech. 21 (1985) 31–48. https://doi.org/10.1016/0013-7944(85)90052-9
[5] Y. Bao, T. Wierzbicki, On fracture locus in the equivalent strain and stress triaxiality space, International Journal of Mechanical Sciences 46 (2004) 81–98. https://doi.org/10.1016/j.ijmecsci.2004.02.006
[6] A.C. Mackenzie, J.W. Hancock, D.K. Brown, On the influence of state of stress on ductile failure initiation in high strength steels, Engineering Fracture Mechanics 9 (1977) 167–188. https://doi.org/10.1016/0013-7944(77)90062-5
[7] T. Wierzbicki, Y. Bao, Y.-W. Lee, Y. Bai, Calibration and evaluation of seven fracture models, International Journal of Mechanical Sciences 47 (2005) 719–743. https://doi.org/10.1016/j.ijmecsci.2005.03.003
[8] C. F. Guzmán, About the Lode angle infuence in ductile fracture, University of Liège, 2014.
[9] Y. Bai, T. Wierzbicki, Application of extended Mohr–Coulomb criterion to ductile fracture, Int J Fract 161 (2010) 1–20. https://doi.org/10.1007/s10704-009-9422-8
[10] H. Granum, D. Morin, T. Børvik, O.S. Hopperstad, Calibration of the modified Mohr-Coulomb fracture model by use of localization analyses for three tempers of an AA6016 aluminium alloy, International Journal of Mechanical Sciences 192 (2021) 106-122. https://doi.org/10.1016/j.ijmecsci.2020.106122
[11] M. Dunand, D. Mohr, On the predictive capabilities of the shear modified Gurson and the modified Mohr–Coulomb fracture models over a wide range of stress triaxialities and Lode angles, Journal of the Mechanics and Physics of Solids 59 (2011) 1374–1394. https://doi.org/10.1016/j.jmps.2011.04.006
[12] D. Mohr, S.J. Marcadet, Micromechanically-motivated phenomenological Hosford–Coulomb model for predicting ductile fracture initiation at low stress triaxialities, International Journal of Solids and Structures 67-68 (2015) 40–55. https://doi.org/10.1016/j.ijsolstr.2015.02.024
[13] M. Dunand, D. Mohr, Effect of Lode parameter on plastic flow localization after proportional loading at low stress triaxialities, J. Mech. Phy. Solids 66 (2014) 133–153. https://doi.org/10.1016/j.jmps.2014.01.008
[14] M. Otroshi, M. Rossel, G. Meschut, Stress state dependent damage modeling of self-pierce riveting process simulation using GISSMO damage model, J Adv Join Proc 1 (2020) 199-206. https://doi.org/10.1016/j.jajp.2020.100015
[15] A. Rusia, S. Weihe, Development of an end-to-end simulation process chain for prediction of self-piercing riveting joint geometry and strength, J. of Manu. Proc. 57 (2020) 519–532. https://doi.org/10.1016/j.jmapro.2020.07.004
[16] M. Buyuk, Development of A Tabulated Thermo-Viscoplastic Material Model with Regularized Failure for Dynamic Ductile Failure Prediction of Structures under Impact Loading: Thesis, 2013.
[17] M. Böhnke, C. Bielak, M. Bobbert, G. Meschut, Development of a Modified Punch Test for Investigating the Failure Behavior in Sheet Metal Materials, Proceedings of NUMISHEET 2022, pp. 575–584. https://doi.org/10.1007/978-3-031-06212-4_52
[18] Novelis Global Automotive, EN AW-6014 T4 – Novelis Advanz 6F – e170 (2019).
[19] R. Kupfer, D. Köhler, D. Römisch, S. Wituschek, L. Ewenz, J. Kalich et al., Clinching of Aluminum Materials – Methods for the Continuous Characterization of Process, Microstructure and Properties, Journal of Advanced Joining Processes 5 (2022) 100108. https://doi.org/10.1016/j.jajp.2022.100108
[20] S. Wituschek, M. Lechner, Material characterisation methods for a tumbling self-piercing riveting process, ESAFORM 2021 (2021). Https://doi.org/10.25518/esaform21.398
[21] C.-R. Bielak, M. Böhnke, J. Friedlein, M. Bobbert, J. Mergheim, G. Meschut et al. (Eds.), Numerical analysis of damage modeling in clinching process chain simulation, 2023.
[22] M. Böhnke, F. Kappe, M. Bobbert, G. Meschut, Influence of various procedures for the determination of flow curves on the predictive accuracy of numerical simulations for mechanical joining processes, Materials Testing 63 (2021) 493–500. https://doi.org/10.1515/mt-2020-0082
[23] M. Nahrmann, A. Matzenmiller, Modelling of nonlocal damage and failure in ductile steel sheets under multiaxial loading, Int. J. Solids and Structures 232 (2021) 111-166. https://doi.org/10.1016/j.ijsolstr.2021.111166
[24] A.M. Habraken, Modelling the plastic anisotropy of metals, ARCO 11 (2004) 3–96. https://doi.org/10.1007/BF02736210