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Anisotropic hardening model based on non-associated flow rule and combined nonlinear kinematic hardening for sheet materials
conference contribution
posted on 2014-01-01, 00:00 authored by A Taherizadeh, D Green, Jeong YoonJeong YoonA material model for more effective analysis of plastic deformation of sheet materials is presented in this paper. The model is capable of considering the following aspects of plastic deformation behavior of sheet materials: the anisotropy in yielding stresses in different directions by using a quadratic yield function (based on Hill’s 1948 model and stress ratios), the anisotropy in work hardening by introducing non-constant flow stress hardening in different directions, the anisotropy in plastic strains in different directions by using a quadratic plastic potential function and non-associated flow rule (based on Hill’s 1948 model and plastic strain ratios, r-values), and finally some of the cyclic hardening phenomena such as Bauschinger’s effect and transient behavior for reverse loading by using a coupled nonlinear kinematic hardening (so-called Armstrong-Frederick-Chaboche model). Basic fundamentals of the plasticity of the model are presented in a general framework. Then, the model adjustment procedure is derived for the plasticity formulations. Also, a generic numerical stress integration procedure is developed based on backward-Euler method (so-called multistage return mapping algorithm). Different aspects of the model are verified for DP600 steel sheet. Results show that the new model is able to predict the sheet material behavior in both anisotropic hardening and cyclic hardening regimes more accurately. By featuring the above-mentioned facts in the presented constitutive model, it is expected that more accurate results can be obtained by implementing this model in computational simulations of sheet material forming processes. For instance, more precise results of springback prediction of the parts formed from highly anisotropic hardened materials or that of determining the forming limit diagrams is highly expected by using the developed material model.
History
Event
Numerical Simulation 3D Sheet Metal Forming Processes. Conference and Workshop (9th : 2014 : Melbourne, Victoria)Volume
1567Pagination
496 - 499Publisher
AIP PublishingLocation
Melbourne, VictoriaPlace of publication
Melville, N.Y.Publisher DOI
Start date
2014-01-06End date
2014-01-10ISSN
0094-243XISBN-13
9780735411951Language
engPublication classification
E Conference publication; E1 Full written paper - refereedCopyright notice
2014, AIP PublishingEditor/Contributor(s)
J Yoon, B Rolfe, J Beynon, P HodgsonTitle of proceedings
NUMISHEET 2014 : Proceedings of the 9th International Conference and Workshop on Numerical Simulation 3D Sheet Metal Forming ProcessesUsage metrics
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