ABAQUS/Explicit implementation of a constitutive model for thin sheet metals subjected to forming procedures. Part I: theory

Authors

  • Alina Biallas University of Stuttgart, Institute for Metal Forming Technology (IFU) – Holzgartenstrasse 17, 70174 Stuttgart, Germany
  • Ioan Nicodim Technical University of Cluj-Napoca, CERTETA Research Centre, Bd. Muncii nr. 103-105, 400641 Cluj-Napoca, Romania
  • Lucian Lazarescu Technical University of Cluj-Napoca, CERTETA Research Centre, Bd. Muncii nr. 103-105, 400641 Cluj-Napoca, Romania
  • Dan-Sorin Comsa Technical University of Cluj-Napoca, CERTETA Research Centre, Bd. Muncii nr. 103-105, 400641 Cluj-Napoca, Romania
  • Celalettin Karadogan University of Stuttgart, Institute for Metal Forming Technology (IFU) – Holzgartenstrasse 17, 70174 Stuttgart, Germany
  • Dorel Banabic Technical University of Cluj-Napoca, CERTETA Research Centre, Bd. Muncii nr. 103-105, 400641 Cluj-Napoca, Romania

Keywords:

sheet metals, orthotropic plasticity, constitutive modelling, finite element analysis

Abstract

This paper deals with the Abaqus/Explicit implementation of a constitutive model for orthotropic thin sheet metals subjected to forming procedures dominated by stretching and bending effects. The metallic sheet is assumed to behave as an elastoplastic shell body, its mechanical response being described by Hooke’s law combined with a plastic potential and the associated flow rule. The constitutive model is kept in a general form so that it can easily accommodate different expressions of the plastic potential. Such a particularization involving the BBC2005 effective stress combined with two analytically defined hardening laws has been implemented by the authors as a VUMAT subroutine of the Abaqus/Explicit finite element programme. The predictive capabilities of the constitutive model will be analysed in the second part of the paper.

References

Dassault Systèmes Simulia Corporation, Abaqus Theory Manual, 2011.

BANABIC, D., Sheet Metal Forming Processes: Constitutive Modelling and Numerical Simulation, Springer-Verlag, Berlin, 2010.

HILL, R., A theory of yielding and plastic flow of anisotropic metals, Proceedings of the Royal Society of London, 193, 1033, pp. 281–297, 1948.

HILL, R., Theoretical plasticity of textured aggregates, Mathematical Proceedings of the Cambridge Philosophical Society, 85, 1, pp. 179–191, 1979.

HILL, R., Constitutive modelling of orthotropic plasticity in sheet metals, Journal of the Mechanics and Physics of Solids, 38, 3, pp. 405–417, 1990.

HILL, R., A user-friendly theory of orthotropic plasticity in sheet metals, International Journal of Mechanical Sciences, 35, 1, pp. 19–25, 1993.

BARLAT, F., LIAN, K., Plastic behavior and stretchability of sheet metals. Part I: A yield function for orthotropic sheets under plane stress conditions, International Journal of Plasticity, 5, 1, pp. 51–66, 1989.

BARLAT, F., BREM, J.C., YOON, J.W., CHUNG, K., DICK, R.E., LEGE, D.J., POURBOGHRAT, F., CHOI, S.H., CHU, E., Plane stress yield function for aluminum alloy sheets–Part 1: theory, International Journal of Plasticity, 19, 9, pp. 1297–1319, 2003.

PRESS, W.H., TEUKOLSKY, S.A., VETTERLING, W.T., FLANNERY, B.P., Numerical Recipes: The Art of Scientific Computing, Cambridge University Press, New York, 1992.

Published

2019-01-25

Issue

Vol. 64 No. 2 (2019): The Romanian Journal of Technical Sciences. Applied Mechanics.

Section

Articles

Copyright (c) 2020 The Romanian Journal of Technical Sciences. Applied Mechanics.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Most read articles by the same author(s)