A non-associated constitutive model based on yld2004-18p yield criterion and its applications on sheet metal forming analysis

Abstract For sheet metals, anisotropy is a significant property affecting sheet metal forming processes. The anisotropy of sheet metals is caused by the rolling process, and several anisotropic constitutive models have been proposed under the non-associated flow rule to describe the deformation and...

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Main Authors: Honghao Wang, Changxiang Fan, Akira Yoshimura, Sai Xu, Guangjun Qiu, Xin Liang, Jun Yanagimoto
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-85270-1
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author Honghao Wang
Changxiang Fan
Akira Yoshimura
Sai Xu
Guangjun Qiu
Xin Liang
Jun Yanagimoto
author_facet Honghao Wang
Changxiang Fan
Akira Yoshimura
Sai Xu
Guangjun Qiu
Xin Liang
Jun Yanagimoto
author_sort Honghao Wang
collection DOAJ
description Abstract For sheet metals, anisotropy is a significant property affecting sheet metal forming processes. The anisotropy of sheet metals is caused by the rolling process, and several anisotropic constitutive models have been proposed under the non-associated flow rule to describe the deformation and stress anisotropies of sheet metals independently. However, most of them are based on yield functions that are only identified by the experimental data of orthogonal axes, or yield functions that are applicable to only the plane stress state. In this study, the yld2004-18p yield function, which can be used to analyze the three-dimensional stress state in multiple axes with high accuracy and acceptable identification cost, is used to develop a non-associated constitutive model and subsequently applied to sheet metal forming analysis. Finite element analysis results of circular cup drawing and hole expansion demonstrate the capability of the yld2004-18p-based non-associated constitutive model in more accurately describing both the deformation and stress anisotropies of sheet metals.
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institution Kabale University
issn 2045-2322
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publishDate 2025-01-01
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series Scientific Reports
spelling doaj-art-4bb5fe26f4f24f5dab2744268dece0102025-01-26T12:28:52ZengNature PortfolioScientific Reports2045-23222025-01-0115112010.1038/s41598-025-85270-1A non-associated constitutive model based on yld2004-18p yield criterion and its applications on sheet metal forming analysisHonghao Wang0Changxiang Fan1Akira Yoshimura2Sai Xu3Guangjun Qiu4Xin Liang5Jun Yanagimoto6Wuhan National Laboratory for Optoelectronics, Huazhong University of Science and TechnologyInstitute of Facility Agriculture, Guangdong Academy of Agricultural SciencesGraduate School of Engineering, The University of TokyoInstitute of Facility Agriculture, Guangdong Academy of Agricultural SciencesInstitute of Facility Agriculture, Guangdong Academy of Agricultural SciencesInstitute of Facility Agriculture, Guangdong Academy of Agricultural SciencesGraduate School of Engineering, The University of TokyoAbstract For sheet metals, anisotropy is a significant property affecting sheet metal forming processes. The anisotropy of sheet metals is caused by the rolling process, and several anisotropic constitutive models have been proposed under the non-associated flow rule to describe the deformation and stress anisotropies of sheet metals independently. However, most of them are based on yield functions that are only identified by the experimental data of orthogonal axes, or yield functions that are applicable to only the plane stress state. In this study, the yld2004-18p yield function, which can be used to analyze the three-dimensional stress state in multiple axes with high accuracy and acceptable identification cost, is used to develop a non-associated constitutive model and subsequently applied to sheet metal forming analysis. Finite element analysis results of circular cup drawing and hole expansion demonstrate the capability of the yld2004-18p-based non-associated constitutive model in more accurately describing both the deformation and stress anisotropies of sheet metals.https://doi.org/10.1038/s41598-025-85270-1AnisotropyNon-associated flow ruleConstitutive modelSheet metal formingFinite element analysis
spellingShingle Honghao Wang
Changxiang Fan
Akira Yoshimura
Sai Xu
Guangjun Qiu
Xin Liang
Jun Yanagimoto
A non-associated constitutive model based on yld2004-18p yield criterion and its applications on sheet metal forming analysis
Scientific Reports
Anisotropy
Non-associated flow rule
Constitutive model
Sheet metal forming
Finite element analysis
title A non-associated constitutive model based on yld2004-18p yield criterion and its applications on sheet metal forming analysis
title_full A non-associated constitutive model based on yld2004-18p yield criterion and its applications on sheet metal forming analysis
title_fullStr A non-associated constitutive model based on yld2004-18p yield criterion and its applications on sheet metal forming analysis
title_full_unstemmed A non-associated constitutive model based on yld2004-18p yield criterion and its applications on sheet metal forming analysis
title_short A non-associated constitutive model based on yld2004-18p yield criterion and its applications on sheet metal forming analysis
title_sort non associated constitutive model based on yld2004 18p yield criterion and its applications on sheet metal forming analysis
topic Anisotropy
Non-associated flow rule
Constitutive model
Sheet metal forming
Finite element analysis
url https://doi.org/10.1038/s41598-025-85270-1
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