A numerical scheme of convex yield function with continuous anisotropic hardening based on non-associated flow rule in FE analysis of sheet metal

Wencheng Liu, Bernard K Chen

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

Abstract

A non-associated flow rule (NAFR) model is developed by adopting the convex function YLD-2004 as the yield stress function and the plastic potential function. The yield stress function coefficients are continuously updated which are associated with the change of directional uniaxial yield stress and biaxial yield stress to simulate the anisotropic hardening behaviour. That was achieved by implementing the numerical identification procedure of coefficients into stress integration procedure. The coefficients of plastic potential function are constant and identified by the uniaxial and biaxial r-value. This constitutive model is capable of describing anisotropic hardening and yield behaviour of strongly textured aluminium alloy sheet metal. In this paper, the model was implemented into the FE code via ABAQUS subroutine to predict the deep drawn cup earing and directional flow stresses of the AA5042-H2 aluminium alloy. The new anisotropic hardening model shows better agreement with experiments compared with the isotropic hardening model.
Original languageEnglish
Title of host publicationJournal of Physics
Subtitle of host publicationConference Series
EditorsToshihiko Kuwabara, Takayuki Hama, Mitsutoshi Kuroda, Susumu Takahashi, Akinori Yamanaka
Place of PublicationBristol UK
PublisherIOP Publishing
Number of pages7
Volume1063
DOIs
Publication statusPublished - 2018
EventInternational Conference and Workshop on Numerical Simulation of 3D Sheet Metal Forming Processes 2018 - Hotel East 21 Tokyo, Tokyo, Japan
Duration: 30 Jul 20183 Aug 2018
Conference number: 11th
http://numisheet2018.org/

Publication series

NameJournal of Physics: Conference Series
PublisherInstitute of Physics Publishing Ltd.
Volume1063
ISSN (Print)1742-6588
ISSN (Electronic)1742-6596

Conference

ConferenceInternational Conference and Workshop on Numerical Simulation of 3D Sheet Metal Forming Processes 2018
Abbreviated titleNUMISHEET 2018
CountryJapan
CityTokyo
Period30/07/183/08/18
Internet address

Cite this

Liu, W., & Chen, B. K. (2018). A numerical scheme of convex yield function with continuous anisotropic hardening based on non-associated flow rule in FE analysis of sheet metal. In T. Kuwabara, T. Hama, M. Kuroda, S. Takahashi, & A. Yamanaka (Eds.), Journal of Physics: Conference Series (Vol. 1063). [012092] (Journal of Physics: Conference Series; Vol. 1063). Bristol UK: IOP Publishing. https://doi.org/10.1088/1742-6596/1063/1/012092
Liu, Wencheng ; Chen, Bernard K. / A numerical scheme of convex yield function with continuous anisotropic hardening based on non-associated flow rule in FE analysis of sheet metal. Journal of Physics: Conference Series. editor / Toshihiko Kuwabara ; Takayuki Hama ; Mitsutoshi Kuroda ; Susumu Takahashi ; Akinori Yamanaka. Vol. 1063 Bristol UK : IOP Publishing, 2018. (Journal of Physics: Conference Series).
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title = "A numerical scheme of convex yield function with continuous anisotropic hardening based on non-associated flow rule in FE analysis of sheet metal",
abstract = "A non-associated flow rule (NAFR) model is developed by adopting the convex function YLD-2004 as the yield stress function and the plastic potential function. The yield stress function coefficients are continuously updated which are associated with the change of directional uniaxial yield stress and biaxial yield stress to simulate the anisotropic hardening behaviour. That was achieved by implementing the numerical identification procedure of coefficients into stress integration procedure. The coefficients of plastic potential function are constant and identified by the uniaxial and biaxial r-value. This constitutive model is capable of describing anisotropic hardening and yield behaviour of strongly textured aluminium alloy sheet metal. In this paper, the model was implemented into the FE code via ABAQUS subroutine to predict the deep drawn cup earing and directional flow stresses of the AA5042-H2 aluminium alloy. The new anisotropic hardening model shows better agreement with experiments compared with the isotropic hardening model.",
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Liu, W & Chen, BK 2018, A numerical scheme of convex yield function with continuous anisotropic hardening based on non-associated flow rule in FE analysis of sheet metal. in T Kuwabara, T Hama, M Kuroda, S Takahashi & A Yamanaka (eds), Journal of Physics: Conference Series. vol. 1063, 012092, Journal of Physics: Conference Series, vol. 1063, IOP Publishing, Bristol UK, International Conference and Workshop on Numerical Simulation of 3D Sheet Metal Forming Processes 2018, Tokyo, Japan, 30/07/18. https://doi.org/10.1088/1742-6596/1063/1/012092

A numerical scheme of convex yield function with continuous anisotropic hardening based on non-associated flow rule in FE analysis of sheet metal. / Liu, Wencheng; Chen, Bernard K.

Journal of Physics: Conference Series. ed. / Toshihiko Kuwabara; Takayuki Hama; Mitsutoshi Kuroda; Susumu Takahashi; Akinori Yamanaka. Vol. 1063 Bristol UK : IOP Publishing, 2018. 012092 (Journal of Physics: Conference Series; Vol. 1063).

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

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AU - Chen, Bernard K

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N2 - A non-associated flow rule (NAFR) model is developed by adopting the convex function YLD-2004 as the yield stress function and the plastic potential function. The yield stress function coefficients are continuously updated which are associated with the change of directional uniaxial yield stress and biaxial yield stress to simulate the anisotropic hardening behaviour. That was achieved by implementing the numerical identification procedure of coefficients into stress integration procedure. The coefficients of plastic potential function are constant and identified by the uniaxial and biaxial r-value. This constitutive model is capable of describing anisotropic hardening and yield behaviour of strongly textured aluminium alloy sheet metal. In this paper, the model was implemented into the FE code via ABAQUS subroutine to predict the deep drawn cup earing and directional flow stresses of the AA5042-H2 aluminium alloy. The new anisotropic hardening model shows better agreement with experiments compared with the isotropic hardening model.

AB - A non-associated flow rule (NAFR) model is developed by adopting the convex function YLD-2004 as the yield stress function and the plastic potential function. The yield stress function coefficients are continuously updated which are associated with the change of directional uniaxial yield stress and biaxial yield stress to simulate the anisotropic hardening behaviour. That was achieved by implementing the numerical identification procedure of coefficients into stress integration procedure. The coefficients of plastic potential function are constant and identified by the uniaxial and biaxial r-value. This constitutive model is capable of describing anisotropic hardening and yield behaviour of strongly textured aluminium alloy sheet metal. In this paper, the model was implemented into the FE code via ABAQUS subroutine to predict the deep drawn cup earing and directional flow stresses of the AA5042-H2 aluminium alloy. The new anisotropic hardening model shows better agreement with experiments compared with the isotropic hardening model.

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DO - 10.1088/1742-6596/1063/1/012092

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T3 - Journal of Physics: Conference Series

BT - Journal of Physics

A2 - Kuwabara, Toshihiko

A2 - Hama, Takayuki

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Liu W, Chen BK. A numerical scheme of convex yield function with continuous anisotropic hardening based on non-associated flow rule in FE analysis of sheet metal. In Kuwabara T, Hama T, Kuroda M, Takahashi S, Yamanaka A, editors, Journal of Physics: Conference Series. Vol. 1063. Bristol UK: IOP Publishing. 2018. 012092. (Journal of Physics: Conference Series). https://doi.org/10.1088/1742-6596/1063/1/012092