Effect of anisotropic yield function evolution on formability of sheet metal

H. J. Choi, Y. Choi, Kyoung Jin Lee, J. Y. Lee, K. Bandyopadhyay, M. G. Lee

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

For the evaluation of anisotropic yield functions and hardening models, formability has been often investigated in the forming of sheet metals. The formability has been investigated in many ways, but a common conclusion is that it is significantly influenced by sheet anisotropy, especially the directional differences in yield stress and r-value along the material direction. Therefore, numerous works have been presented in terms of the accurate modeling of anisotropic behavior of sheet metals and its implementation into the finite element simulations. The previous efforts include the effects of quadratic or non-quadratic yield functions, their associated or non-associated flow rules and isotropic or non-isotropic hardening laws on formability. However, most of these works assumed that the anisotropic yield functions maintain their initial shapes, while they evolve by isotropic expansion or kinematic translation. Then, they could not consider the anisotropic evolution under monotonic loading with different deformation modes. In the present work, various anisotropic constitutive models were comparatively evaluated for the performance in predicting the earing profile in the cup drawing and the forming limit diagram. The constitutive models include the Hill48 quadratic yield function with associated and non-associated flow rules, and the non-quadratic Yld2000-2d function with associated flow rule. For both yield functions, the evolution of anisotropy was employed by considering the anisotropic coefficients as a function of equivalent plastic strain. The influence of the anisotropy evolution was comparatively evaluated by the computational simulations.

Original languageEnglish
Title of host publicationProceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017
EditorsDermot Brabazon, Inam Ul Ahad, Sumsun Naher
PublisherAmerican Institute of Physics Inc.
Volume1896
ISBN (Electronic)9780735415805
DOIs
Publication statusPublished - 2017 Oct 16
Event20th International ESAFORM Conference on Material Forming, ESAFORM 2017 - Dublin, Ireland
Duration: 2017 Apr 262017 Apr 28

Other

Other20th International ESAFORM Conference on Material Forming, ESAFORM 2017
CountryIreland
CityDublin
Period17/4/2617/4/28

Fingerprint

metal sheets
hardening
anisotropy
kinematics
plastics
simulation
diagrams
expansion
evaluation
coefficients
profiles

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Choi, H. J., Choi, Y., Lee, K. J., Lee, J. Y., Bandyopadhyay, K., & Lee, M. G. (2017). Effect of anisotropic yield function evolution on formability of sheet metal. In D. Brabazon, I. Ul Ahad, & S. Naher (Eds.), Proceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017 (Vol. 1896). [020023] American Institute of Physics Inc.. https://doi.org/10.1063/1.5007980

Effect of anisotropic yield function evolution on formability of sheet metal. / Choi, H. J.; Choi, Y.; Lee, Kyoung Jin; Lee, J. Y.; Bandyopadhyay, K.; Lee, M. G.

Proceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017. ed. / Dermot Brabazon; Inam Ul Ahad; Sumsun Naher. Vol. 1896 American Institute of Physics Inc., 2017. 020023.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Choi, HJ, Choi, Y, Lee, KJ, Lee, JY, Bandyopadhyay, K & Lee, MG 2017, Effect of anisotropic yield function evolution on formability of sheet metal. in D Brabazon, I Ul Ahad & S Naher (eds), Proceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017. vol. 1896, 020023, American Institute of Physics Inc., 20th International ESAFORM Conference on Material Forming, ESAFORM 2017, Dublin, Ireland, 17/4/26. https://doi.org/10.1063/1.5007980
Choi HJ, Choi Y, Lee KJ, Lee JY, Bandyopadhyay K, Lee MG. Effect of anisotropic yield function evolution on formability of sheet metal. In Brabazon D, Ul Ahad I, Naher S, editors, Proceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017. Vol. 1896. American Institute of Physics Inc. 2017. 020023 https://doi.org/10.1063/1.5007980
Choi, H. J. ; Choi, Y. ; Lee, Kyoung Jin ; Lee, J. Y. ; Bandyopadhyay, K. ; Lee, M. G. / Effect of anisotropic yield function evolution on formability of sheet metal. Proceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017. editor / Dermot Brabazon ; Inam Ul Ahad ; Sumsun Naher. Vol. 1896 American Institute of Physics Inc., 2017.
@inproceedings{65fe0354d71a4a4f95c741a05060ca53,
title = "Effect of anisotropic yield function evolution on formability of sheet metal",
abstract = "For the evaluation of anisotropic yield functions and hardening models, formability has been often investigated in the forming of sheet metals. The formability has been investigated in many ways, but a common conclusion is that it is significantly influenced by sheet anisotropy, especially the directional differences in yield stress and r-value along the material direction. Therefore, numerous works have been presented in terms of the accurate modeling of anisotropic behavior of sheet metals and its implementation into the finite element simulations. The previous efforts include the effects of quadratic or non-quadratic yield functions, their associated or non-associated flow rules and isotropic or non-isotropic hardening laws on formability. However, most of these works assumed that the anisotropic yield functions maintain their initial shapes, while they evolve by isotropic expansion or kinematic translation. Then, they could not consider the anisotropic evolution under monotonic loading with different deformation modes. In the present work, various anisotropic constitutive models were comparatively evaluated for the performance in predicting the earing profile in the cup drawing and the forming limit diagram. The constitutive models include the Hill48 quadratic yield function with associated and non-associated flow rules, and the non-quadratic Yld2000-2d function with associated flow rule. For both yield functions, the evolution of anisotropy was employed by considering the anisotropic coefficients as a function of equivalent plastic strain. The influence of the anisotropy evolution was comparatively evaluated by the computational simulations.",
author = "Choi, {H. J.} and Y. Choi and Lee, {Kyoung Jin} and Lee, {J. Y.} and K. Bandyopadhyay and Lee, {M. G.}",
year = "2017",
month = "10",
day = "16",
doi = "10.1063/1.5007980",
language = "English",
volume = "1896",
editor = "Dermot Brabazon and {Ul Ahad}, Inam and Sumsun Naher",
booktitle = "Proceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017",
publisher = "American Institute of Physics Inc.",

}

TY - GEN

T1 - Effect of anisotropic yield function evolution on formability of sheet metal

AU - Choi, H. J.

AU - Choi, Y.

AU - Lee, Kyoung Jin

AU - Lee, J. Y.

AU - Bandyopadhyay, K.

AU - Lee, M. G.

PY - 2017/10/16

Y1 - 2017/10/16

N2 - For the evaluation of anisotropic yield functions and hardening models, formability has been often investigated in the forming of sheet metals. The formability has been investigated in many ways, but a common conclusion is that it is significantly influenced by sheet anisotropy, especially the directional differences in yield stress and r-value along the material direction. Therefore, numerous works have been presented in terms of the accurate modeling of anisotropic behavior of sheet metals and its implementation into the finite element simulations. The previous efforts include the effects of quadratic or non-quadratic yield functions, their associated or non-associated flow rules and isotropic or non-isotropic hardening laws on formability. However, most of these works assumed that the anisotropic yield functions maintain their initial shapes, while they evolve by isotropic expansion or kinematic translation. Then, they could not consider the anisotropic evolution under monotonic loading with different deformation modes. In the present work, various anisotropic constitutive models were comparatively evaluated for the performance in predicting the earing profile in the cup drawing and the forming limit diagram. The constitutive models include the Hill48 quadratic yield function with associated and non-associated flow rules, and the non-quadratic Yld2000-2d function with associated flow rule. For both yield functions, the evolution of anisotropy was employed by considering the anisotropic coefficients as a function of equivalent plastic strain. The influence of the anisotropy evolution was comparatively evaluated by the computational simulations.

AB - For the evaluation of anisotropic yield functions and hardening models, formability has been often investigated in the forming of sheet metals. The formability has been investigated in many ways, but a common conclusion is that it is significantly influenced by sheet anisotropy, especially the directional differences in yield stress and r-value along the material direction. Therefore, numerous works have been presented in terms of the accurate modeling of anisotropic behavior of sheet metals and its implementation into the finite element simulations. The previous efforts include the effects of quadratic or non-quadratic yield functions, their associated or non-associated flow rules and isotropic or non-isotropic hardening laws on formability. However, most of these works assumed that the anisotropic yield functions maintain their initial shapes, while they evolve by isotropic expansion or kinematic translation. Then, they could not consider the anisotropic evolution under monotonic loading with different deformation modes. In the present work, various anisotropic constitutive models were comparatively evaluated for the performance in predicting the earing profile in the cup drawing and the forming limit diagram. The constitutive models include the Hill48 quadratic yield function with associated and non-associated flow rules, and the non-quadratic Yld2000-2d function with associated flow rule. For both yield functions, the evolution of anisotropy was employed by considering the anisotropic coefficients as a function of equivalent plastic strain. The influence of the anisotropy evolution was comparatively evaluated by the computational simulations.

UR - http://www.scopus.com/inward/record.url?scp=85037674184&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85037674184&partnerID=8YFLogxK

U2 - 10.1063/1.5007980

DO - 10.1063/1.5007980

M3 - Conference contribution

AN - SCOPUS:85037674184

VL - 1896

BT - Proceedings of the 20th International ESAFORM Conference on Material Forming, ESAFORM 2017

A2 - Brabazon, Dermot

A2 - Ul Ahad, Inam

A2 - Naher, Sumsun

PB - American Institute of Physics Inc.

ER -