Advanced search
1 file | 2.09 MB

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
Author
Organization
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
Keywords
MODELS, RULE, SHEET, STRESS, PRESSURE, material constitutive model, associated flow rule, non-associated, yield function

Downloads

  • (...).PDF
    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 2.09 MB

Citation

Please use this url to cite or link to this publication:

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.
@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},
}

Altmetric
View in Altmetric
Web of Science
Times cited: