A non-associated plasticity model with anisotropic and nonlinear kinematic hardening for simulation of sheet metal forming

Taherizadeh, Aboozar, Green, Daniel E. and Yoon, Jeong Whan 2015, A non-associated plasticity model with anisotropic and nonlinear kinematic hardening for simulation of sheet metal forming, International journal of solids and structures, vol. 69-70, pp. 370-382, doi: 10.1016/j.ijsolstr.2015.05.013.

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Title A non-associated plasticity model with anisotropic and nonlinear kinematic hardening for simulation of sheet metal forming
Author(s) Taherizadeh, Aboozar
Green, Daniel E.
Yoon, Jeong WhanORCID iD for Yoon, Jeong Whan orcid.org/0000-0002-7616-5253
Journal name International journal of solids and structures
Volume number 69-70
Start page 370
End page 382
Total pages 13
Publisher Elsevier
Place of publication Amsterdam, The Netherlands
Publication date 2015-09
ISSN 0020-7683
Keyword(s) Anisotropic-directional hardening
Computational integration
Constitutive model
Non-associated flow rule
Nonlinear kinematic hardening
Sheet metal forming
Summary A material model for more thorough analysis of plastic deformation of sheet materials is presented in this paper. This model considers the following aspects of plastic deformation behavior of sheet materials: (1) the anisotropy in yield stresses and in work hardening by using Hill's 1948 quadratic yield function and non-constant stress ratios which leads to different flow stress hardening in different directions, (2) the anisotropy in plastic strains by using a quadratic plastic potential function and non-associated flow rule, also based on Hill's 1948 model and r-values, and (3) the cyclic hardening phenomena such as the Bauschinger effect, permanent softening and transient behavior for reverse loading by using a coupled nonlinear kinematic hardening model. Plasticity fundamentals of the model were derived in a general framework and the model calibration procedure was presented for the plasticity formulations. Also, a generic numerical stress integration procedure was developed based on backward-Euler method, so-called multi-stage return mapping algorithm. The model was implemented in the framework of the finite element method to evaluate the simulation results of sheet metal forming processes. Different aspects of the model were verified for two sheet metals, namely DP600 steel and AA6022 aluminum alloy. Results show that the new model is able to accurately predict the sheet material behavior for both anisotropic hardening and cyclic hardening conditions. The drawing of channel sections and the subsequent springback were also simulated with this model for different drawbead configurations. Simulation results show that the current non-associated anisotropic hardening model is able to accurately predict the sidewall curl in the drawn channel sections.
Language eng
DOI 10.1016/j.ijsolstr.2015.05.013
Field of Research 091207 Metals and Alloy Materials
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2015, Elsevier
Persistent URL http://hdl.handle.net/10536/DRO/DU:30074972

Document type: Journal Article
Collection: School of Engineering
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