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Evaluation of associated and non-associated flow metal plasticity: application for DC06 deep drawing steel

Mohsen Safaei UGent, Wim De Waele UGent and Shun Lai Zang (2012) Key Engineering Materials. 504-506. p.661-666
abstract
In this paper the capabilities of Associated Flow Rule (AFR) and non-AFR based finite element models for sheet metal forming simulations is investigated. In case of non-AFR, Hill’s quadratic function used as plastic potential function, makes use of plastic strain ratios to determine the direction of effective plastic strain rate. In addition, the yield function uses direction dependent yield stress data. Therefore more accurate predictions are expected in terms of both yield stress and strain ratios at different orientations. We implemented a modified version of the non-associative flow rule originally developed by Stoughton [1] into the commercial finite element code ABAQUS by means of a user material subroutine UMAT. The main algorithm developed includes combined effects of isotropic and kinematic hardening [2]. This paper assumes proportional loading cases and therefore only isotropic hardening effect is considered. In our model the incremental change of plastic strain rate tensor is not equal to the incremental change of the compliance factor. The validity of the model is demonstrated by comparing stresses and strain ratios obtained from finite element simulations with experimentally determined values for deep drawing steel DC06. A critical comparison is made between numerical results obtained from AFR and non-AFR based models
Please use this url to cite or link to this publication:
author
organization
year
type
conference
publication status
published
subject
keyword
MODELS, RULE, SHEET, STRESS, PRESSURE, material constitutive model, associated flow rule, non-associated, yield function
in
Key Engineering Materials
Key Eng. Mater
editor
Marion Merklein and Hinnerk Hagenah
volume
504-506
issue title
Material Forming ESAFORM 2012
pages
661 - 666
publisher
Trans Tech
place of publication
Stafa-Zürich, Switzerland
conference name
15th Conference of the European Scientific Association on Material Forming, (ESAFORM 2012)
conference location
Nuremberg, Germany
conference start
2012-03-14
conference end
2012-03-16
Web of Science type
Proceedings Paper
Web of Science id
000309335500107
ISSN
1662-9795
ISBN
9783037853665
DOI
10.4028/www.scientific.net/KEM.504-506.661
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
2032552
handle
http://hdl.handle.net/1854/LU-2032552
date created
2012-02-15 10:26:39
date last changed
2012-11-12 15:48:34
@inproceedings{2032552,
  abstract     = {In this paper the capabilities of Associated Flow Rule (AFR) and non-AFR based finite element models for sheet metal forming simulations is investigated. In case of non-AFR, Hill{\textquoteright}s quadratic function used as plastic potential function, makes use of plastic strain ratios to  determine the direction of effective plastic strain rate. In addition, the yield function uses direction dependent yield stress data. Therefore more accurate predictions are expected in terms of both yield stress and strain ratios at different orientations. We implemented a modified version of the non-associative flow rule originally developed by Stoughton [1] into the commercial finite element code ABAQUS by means of a user material subroutine UMAT. The main algorithm developed includes combined effects of isotropic and kinematic hardening [2]. This paper assumes proportional loading cases and therefore only isotropic hardening effect is considered. In our model the incremental change of plastic strain rate tensor is not equal to the incremental change of the compliance factor. The validity of the model is demonstrated by comparing stresses and strain ratios obtained from finite element simulations with experimentally determined values for deep drawing steel DC06. A critical comparison is made between numerical results obtained from AFR and non-AFR based models},
  author       = {Safaei, Mohsen and De Waele, Wim and Zang, Shun Lai},
  booktitle    = {Key Engineering Materials},
  editor       = {Merklein, Marion and Hagenah, Hinnerk},
  isbn         = {9783037853665},
  issn         = {1662-9795},
  keyword      = {MODELS,RULE,SHEET,STRESS,PRESSURE,material constitutive model,associated flow rule,non-associated,yield function},
  language     = {eng},
  location     = {Nuremberg, Germany},
  pages        = {661--666},
  publisher    = {Trans Tech},
  title        = {Evaluation of associated and non-associated flow metal plasticity: application for DC06 deep drawing steel},
  url          = {http://dx.doi.org/10.4028/www.scientific.net/KEM.504-506.661},
  volume       = {504-506},
  year         = {2012},
}

Chicago
Safaei, Mohsen, Wim De Waele, and Shun Lai Zang. 2012. “Evaluation of Associated and Non-associated Flow Metal Plasticity: Application for DC06 Deep Drawing Steel.” In Key Engineering Materials, ed. Marion Merklein and Hinnerk Hagenah, 504-506:661–666. Stafa-Zürich, Switzerland: Trans Tech.
APA
Safaei, M., De Waele, W., & Zang, S. L. (2012). Evaluation of associated and non-associated flow metal plasticity: application for DC06 deep drawing steel. In M. Merklein & H. Hagenah (Eds.), Key Engineering Materials (Vol. 504–506, pp. 661–666). Presented at the 15th Conference of the European Scientific Association on Material Forming, (ESAFORM 2012), Stafa-Zürich, Switzerland: Trans Tech.
Vancouver
1.
Safaei M, De Waele W, Zang SL. Evaluation of associated and non-associated flow metal plasticity: application for DC06 deep drawing steel. In: Merklein M, Hagenah H, editors. Key Engineering Materials. Stafa-Zürich, Switzerland: Trans Tech; 2012. p. 661–6.
MLA
Safaei, Mohsen, Wim De Waele, and Shun Lai Zang. “Evaluation of Associated and Non-associated Flow Metal Plasticity: Application for DC06 Deep Drawing Steel.” Key Engineering Materials. Ed. Marion Merklein & Hinnerk Hagenah. Vol. 504–506. Stafa-Zürich, Switzerland: Trans Tech, 2012. 661–666. Print.