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Stress integration method for a nonlinear kinematic/isotropic hardening model and its characterization based on polycrystal plasticity

Cardoso, Rui P.R.; Yoon, Jeong Whan

Authors

Rui P.R. Cardoso rui.cardoso@uwe.ac.uk

Jeong Whan Yoon



Abstract

Sheet metal forming processes generally involve non-proportional strain paths including springback, leading to the Bauschinger effect, transient hardening, and permanent softening behavior, that can be possibly modeled by kinematic hardening laws. In this work, a stress integration procedure based on the backward-Euler method was newly derived for a nonlinear combined isotropic/kinematic hardening model based on the two-yield's surfaces approach. The backward-Euler method can be combined with general non-quadratic anisotropic yield functions and thus it can predict accurately the behavior of aluminum alloy sheets for sheet metal forming processes. In order to characterize the material coefficients, including the Bauschinger ratio for the kinematic hardening model, one element tension-compression simulations were newly tried based on a polycrystal plasticity approach, which compensates extensive tension and compression experiments. The developed model was applied for a springback prediction of the NUMISHEET'93 2D draw bend benchmark example. © 2008 Elsevier Ltd. All rights reserved.

Journal Article Type Article
Publication Date Sep 1, 2009
Journal International Journal of Plasticity
Print ISSN 0749-6419
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 25
Issue 9
Pages 1684-1710
APA6 Citation Cardoso, R. P., & Yoon, J. W. (2009). Stress integration method for a nonlinear kinematic/isotropic hardening model and its characterization based on polycrystal plasticity. International Journal of Plasticity, 25(9), 1684-1710. https://doi.org/10.1016/j.ijplas.2008.09.007
DOI https://doi.org/10.1016/j.ijplas.2008.09.007
Keywords Backward-Euler method polycrystal plasticity anisotropy, springback, nonlinear kinematic hardening
Publisher URL http://dx.doi.org/10.1016/j.ijplas.2008.09.007