Effect of the kinematic hardening on the plastic anisotropy parameters for metallic sheets

Houssem Badreddine; Khemais Saanouni; Carl Labergère; Jean-Louis Duval

doi:10.1016/j.crme.2018.06.004

Computational modeling of material forming processes / Simulation numérique des procédés de mise en forme

Effect of the kinematic hardening on the plastic anisotropy parameters for metallic sheets

Houssem Badreddine ¹ ; Khemais Saanouni ¹ ; Carl Labergère ¹ ; Jean-Louis Duval ²

¹ ICD/LASMIS, UMR 6281, University of Technology of Troyes, 12, rue Marie-Curie, CS 42060, 10004 Troyes cedex, France
² ESI Group Rungis, Parc d'affaires SILIC, 99, rue des Solets, BP 80112, 94513 Rungis cedex, France

Comptes Rendus. Mécanique, Volume 346 (2018) no. 8, pp. 678-700.

Résumé

The initial plastic anisotropy parameters are conventionally determined from the Lankford strain ratios defined by $r^{ψ} = \frac{ε_{22}^{p ψ}}{ε_{33}^{p ψ}}$ (ψ being the direction of the loading path). They are usually considered as constant parameters that are determined at a given value of the plastic strain far from the early stage of the plastic flow (i.e. equivalent plastic strain of $ε_{eq}^{p} = 0.2 %$ ) and typically at an equivalent plastic strain in between 20% and 50% of plastic strain failure (or material ductility). What prompts to question about the relevance of this determination, considering that this ratio does not remain constant, but changes with plastic strain. Accordingly, when the nonlinear evolution of the kinematic hardening is accounted for, the Lankford strain ratios are expected to evolve significantly during the plastic flow.

In this work, a parametric study is performed to investigate the effect of the nonlinear kinematic hardening evolution of the Lankford strain ratios for different values of the kinematic hardening parameters. For the sake of clarity, this nonlinear kinematic hardening is formulated together with nonlinear isotropic hardening in the framework of anisotropic Hill-type (1948) yield criterion. Extension to other quadratic or non-quadratic yield criteria can be made without any difficulty. This parametric study is completed by studying the effect of these parameters on simulations of sheet metal forming by large plastic strains.

Reçu le : 2017-10-18
Accepté le : 2018-04-09
Publié le : 2018-06-30

DOI : 10.1016/j.crme.2018.06.004

Mots clés : Initial plastic anisotropy, Non-linear kinematic hardening, Finite strains, Strain and stress ratios

Affiliations des auteurs :

Houssem Badreddine ¹ ; Khemais Saanouni ¹ ; Carl Labergère ¹ ; Jean-Louis Duval ²

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     title = {Effect of the kinematic hardening on the plastic anisotropy parameters for metallic sheets},
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Houssem Badreddine; Khemais Saanouni; Carl Labergère; Jean-Louis Duval. Effect of the kinematic hardening on the plastic anisotropy parameters for metallic sheets. Comptes Rendus. Mécanique, Volume 346 (2018) no. 8, pp. 678-700. doi : 10.1016/j.crme.2018.06.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.06.004/

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