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Prediction of forming limit diagram using the Marciniak-Kuczynski method for Ti-6Al-4V using different material models

Claudio Lonardi (UGent) , Luca Corallo (UGent) and Patricia Verleysen (UGent)
(2022) KEY ENGINEERING MATERIALS. 926. p.885-896
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Abstract
The forming limit diagram (FLD) is a widely used tool to assess the formability of a metal sheet [1]. The current study aims to investigate the influence of strain rate, material anisotropy and hardening on the FLD of Ti-6Al-4V predicted by the well-known Marciniak-Kuczynski (M-K) method. The tensile data of quasi-static (8∙10-5 s-1), intermediate (0.5 s-1) and dynamic experiments (approximately 1000 s-1) on Ti-6Al-4V sheet are available at three different orientations, with respect to the rolling direction: 0°, 45° and 90°. Different hardening models are taken into account. Also, von Mises and Hill yield criterion are considered. The results show that the influence of the hardening law on FLD is significant. In particular, the most conservative limit strains are predicted by the Voce law because of its saturation characteristic. The yield criterion is found to only affect the right part of the FLD. Regarding the strain rate influence, the left part of the FLD is mainly dominated by the amount of uniform elongation, while the right part is strongly dependent on the yield function used. Therefore, for this region the effects of strain rate and yield function are difficult to distinguish. Finally, the effect of material anisotropy on the FLD is significant. Under quasi-static conditions, the Lankford coefficient seems to be the driving factor in uniaxial and equibiaxial deformation. However, in plane strain conditions the effect of the strain hardening exponent is dominant.
Keywords
Forming limit diagram, Ti-6Al-4V, Marciniak-Kuczynski method, strain rate, anisotropy

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MLA
Lonardi, Claudio, et al. “Prediction of Forming Limit Diagram Using the Marciniak-Kuczynski Method for Ti-6Al-4V Using Different Material Models.” KEY ENGINEERING MATERIALS, edited by Gabriela Vincze and Frédéric Barlat, vol. 926, Trans Tech Publications, 2022, pp. 885–96, doi:10.4028/p-10z13b.
APA
Lonardi, C., Corallo, L., & Verleysen, P. (2022). Prediction of forming limit diagram using the Marciniak-Kuczynski method for Ti-6Al-4V using different material models. In G. Vincze & F. Barlat (Eds.), KEY ENGINEERING MATERIALS (Vol. 926, pp. 885–896). https://doi.org/10.4028/p-10z13b
Chicago author-date
Lonardi, Claudio, Luca Corallo, and Patricia Verleysen. 2022. “Prediction of Forming Limit Diagram Using the Marciniak-Kuczynski Method for Ti-6Al-4V Using Different Material Models.” In KEY ENGINEERING MATERIALS, edited by Gabriela Vincze and Frédéric Barlat, 926:885–96. Switzerland: Trans Tech Publications. https://doi.org/10.4028/p-10z13b.
Chicago author-date (all authors)
Lonardi, Claudio, Luca Corallo, and Patricia Verleysen. 2022. “Prediction of Forming Limit Diagram Using the Marciniak-Kuczynski Method for Ti-6Al-4V Using Different Material Models.” In KEY ENGINEERING MATERIALS, ed by. Gabriela Vincze and Frédéric Barlat, 926:885–896. Switzerland: Trans Tech Publications. doi:10.4028/p-10z13b.
Vancouver
1.
Lonardi C, Corallo L, Verleysen P. Prediction of forming limit diagram using the Marciniak-Kuczynski method for Ti-6Al-4V using different material models. In: Vincze G, Barlat F, editors. KEY ENGINEERING MATERIALS. Switzerland: Trans Tech Publications; 2022. p. 885–96.
IEEE
[1]
C. Lonardi, L. Corallo, and P. Verleysen, “Prediction of forming limit diagram using the Marciniak-Kuczynski method for Ti-6Al-4V using different material models,” in KEY ENGINEERING MATERIALS, Braga, Portugal, 2022, vol. 926, pp. 885–896.
@inproceedings{8762013,
  abstract     = {{The forming limit diagram (FLD) is a widely used tool to assess the formability of a metal 
sheet [1]. The current study aims to investigate the influence of strain rate, material anisotropy and 
hardening on the FLD of Ti-6Al-4V predicted by the well-known Marciniak-Kuczynski (M-K) 
method. The tensile data of quasi-static (8∙10-5 s-1), intermediate (0.5 s-1) and dynamic experiments 
(approximately 1000 s-1) on Ti-6Al-4V sheet are available at three different orientations, with respect 
to the rolling direction: 0°, 45° and 90°. Different hardening models are taken into account. Also, von 
Mises and Hill yield criterion are considered. The results show that the influence of the hardening 
law on FLD is significant. In particular, the most conservative limit strains are predicted by the Voce 
law because of its saturation characteristic. The yield criterion is found to only affect the right part of 
the FLD. Regarding the strain rate influence, the left part of the FLD is mainly dominated by the 
amount of uniform elongation, while the right part is strongly dependent on the yield function used. 
Therefore, for this region the effects of strain rate and yield function are difficult to distinguish. 
Finally, the effect of material anisotropy on the FLD is significant. Under quasi-static conditions, the 
Lankford coefficient seems to be the driving factor in uniaxial and equibiaxial deformation. However, 
in plane strain conditions the effect of the strain hardening exponent is dominant.}},
  author       = {{Lonardi, Claudio and Corallo, Luca and Verleysen, Patricia}},
  booktitle    = {{KEY ENGINEERING MATERIALS}},
  editor       = {{Vincze, Gabriela and Barlat, Frédéric}},
  isbn         = {{9783035717594}},
  issn         = {{1013-9826}},
  keywords     = {{Forming limit diagram,Ti-6Al-4V,Marciniak-Kuczynski method,strain rate,anisotropy}},
  language     = {{eng}},
  location     = {{Braga, Portugal}},
  pages        = {{885--896}},
  publisher    = {{Trans Tech Publications}},
  title        = {{Prediction of forming limit diagram using the Marciniak-Kuczynski method for Ti-6Al-4V using different material models}},
  url          = {{http://doi.org/10.4028/p-10z13b}},
  volume       = {{926}},
  year         = {{2022}},
}

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