Article(id=1309475196650742532, tenantId=1146029695717560320, journalId=1189873562199433220, issueId=1309475195581198782, articleNumber=null, orderNo=null, doi=10.19710/J.cnki.1003-8817.20250064, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=null, receivedDateStr=null, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1790132815753, onlineDateStr=2026-09-23, pubDate=1776614400000, pubDateStr=2026-04-20, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1790132815753, onlineIssueDateStr=2026-09-23, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1790132815753, creator=13701087609, updateTime=1790132815753, updator=13701087609, issue=Issue{id=1309475195581198782, tenantId=1146029695717560320, journalId=1189873562199433220, year='2026', volume='', issue='4', pageStart='1', pageEnd='72', issueExtLink='null', onlineDate='null', pubDate='1776614400000', pubDateStr='2026-04-20', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=0, createTime=1790132815498, creator='13701087609', updateTime=1790133009559, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1309476009590751261, tenantId=1146029695717560320, journalId=1189873562199433220, issueId=1309475195581198782, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1309476009590751262, tenantId=1146029695717560320, journalId=1189873562199433220, issueId=1309475195581198782, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=32, endPage=38, ext={EN=ArticleExt(id=1309475196805931781, articleId=1309475196650742532, tenantId=1146029695717560320, journalId=1189873562199433220, language=EN, title=Influence of Material Hardening Models on Forming Limits of 6016 Aluminum Alloy, columnId=null, journalTitle=Automobile Technology & Material, columnName=null, runingTitle=null, highlight=null, articleAbstract=

To achieve accurate prediction of aluminum alloy formability limits, a material hardening model based on the interpolation method of measured stress-strain data was proposed. The theoretical formability limit predictions of measured data, the power exponential, and cubic polynomial hardening models were systematically studied using the M-K theory. Uniaxial tensile tests were conducted to obtain stress-strain data of 6016 aluminum alloy, based on which different material hardening models were constructed. Detailed calculation procedures for limit strains under various models were presented, and forming limit diagrams (FLDs) were plotted. Finally, experimental results of aluminum alloy sheet formability limits were obtained through punch bulging tests and optical non-contact measurement techniques. The results indicate that the material hardening model based on the interpolation method of measured data demonstrates superior prediction accuracy, showing perfect agreement with experimental results. In contrast, commonly used power law and cubic polynomial curve-fitting hardening models tend to overestimate formability limits, particularly under negative strain path conditions. Material hardening models significantly influence the prediction of forming limits for 6016 aluminum alloy sheets, with prediction accuracy positively correlated with the goodness-of-fit of the hardening model fitting curves.

, authors=Fanxiang Meng1, Ting Wang1, Li Li2, authorsList=Fanxiang Meng, Ting Wang, Li Li, authorCompany=null, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1309475197057590022, articleId=1309475196650742532, tenantId=1146029695717560320, journalId=1189873562199433220, language=CN, title=材料硬化模型对6016铝合金成形极限的影响, columnId=1190284221747925509, journalTitle=汽车工艺与材料, columnName=材料应用, runingTitle=null, highlight=null, articleAbstract=

为实现铝合金成形极限的精准预测,提出了基于材料应力-应变实测数据插值法的材料硬化模型,并结合M-K理论分别针对实测数据、幂指数以及三次多项式硬化模型的理论成形极限预测进行研究。采用单轴拉伸试验获取了6016铝合金的应力-应变数据,基于此构建了不同形式的材料硬化模型,给出了不同模型下极限应变的详尽计算过程并绘制了成形极限曲线,最后通过凸模胀形和光学非接触式测量获取了铝合金板料成形极限的试验结果。研究发现,基于实测数据插值法的材料硬化模型表现出优异的预测精度,与实验结果完全吻合;而常用的幂指数及三次多项式曲线拟合硬化模型则容易高估成形极限,在负应变路径下的预测结果偏差尤其明显。材料硬化模型对6016铝合金板料成形极限预测结果影响显著,且预测精度与硬化模型拟合曲线的拟合优度呈正相关。

, authors=孟凡响1, 王亭1, 李丽2, authorsList=孟凡响, 王亭, 李丽, authorCompany=null, correspAuthors=null, authorNote=

孟凡响(1995—),男,助理实验师,硕士学位,研究方向为轻量化材料冲压成形工艺。

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孟凡响(1995—),男,助理实验师,硕士学位,研究方向为轻量化材料冲压成形工艺。

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孟凡响(1995—),男,助理实验师,硕士学位,研究方向为轻量化材料冲压成形工艺。

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材料硬化模型对6016铝合金成形极限的影响
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孟凡响 1 , 王亭 1 , 李丽 2
汽车工艺与材料 | 材料应用 2026,(4): 32-38
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汽车工艺与材料 |材料应用 2026 , (4) : 32 -38
材料硬化模型对6016铝合金成形极限的影响
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孟凡响1, 王亭1, 李丽2
作者信息
  • 1.吉林大学材料科学与工程学院,长春 130022
  • 2.中车长春轨道客车股份有限公司,长春 130062
作者简介:

孟凡响(1995—),男,助理实验师,硕士学位,研究方向为轻量化材料冲压成形工艺。

Influence of Material Hardening Models on Forming Limits of 6016 Aluminum Alloy
Fanxiang Meng1, Ting Wang1, Li Li2
Affiliations
  • 1.College of Materials Science and Engineering, Jilin University, Changchun 130022
  • 2.CRRC Changchun Railway Vehicles Co., Ltd., Changchun 130062
出版时间: 2026-04-20 doi: 10.19710/J.cnki.1003-8817.20250064
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为实现铝合金成形极限的精准预测,提出了基于材料应力-应变实测数据插值法的材料硬化模型,并结合M-K理论分别针对实测数据、幂指数以及三次多项式硬化模型的理论成形极限预测进行研究。采用单轴拉伸试验获取了6016铝合金的应力-应变数据,基于此构建了不同形式的材料硬化模型,给出了不同模型下极限应变的详尽计算过程并绘制了成形极限曲线,最后通过凸模胀形和光学非接触式测量获取了铝合金板料成形极限的试验结果。研究发现,基于实测数据插值法的材料硬化模型表现出优异的预测精度,与实验结果完全吻合;而常用的幂指数及三次多项式曲线拟合硬化模型则容易高估成形极限,在负应变路径下的预测结果偏差尤其明显。材料硬化模型对6016铝合金板料成形极限预测结果影响显著,且预测精度与硬化模型拟合曲线的拟合优度呈正相关。

成形极限  /  M-K理论  /  硬化模型  /  铝合金板料

To achieve accurate prediction of aluminum alloy formability limits, a material hardening model based on the interpolation method of measured stress-strain data was proposed. The theoretical formability limit predictions of measured data, the power exponential, and cubic polynomial hardening models were systematically studied using the M-K theory. Uniaxial tensile tests were conducted to obtain stress-strain data of 6016 aluminum alloy, based on which different material hardening models were constructed. Detailed calculation procedures for limit strains under various models were presented, and forming limit diagrams (FLDs) were plotted. Finally, experimental results of aluminum alloy sheet formability limits were obtained through punch bulging tests and optical non-contact measurement techniques. The results indicate that the material hardening model based on the interpolation method of measured data demonstrates superior prediction accuracy, showing perfect agreement with experimental results. In contrast, commonly used power law and cubic polynomial curve-fitting hardening models tend to overestimate formability limits, particularly under negative strain path conditions. Material hardening models significantly influence the prediction of forming limits for 6016 aluminum alloy sheets, with prediction accuracy positively correlated with the goodness-of-fit of the hardening model fitting curves.

Forming limits  /  M-K theory  /  Hardening model  /  Aluminum alloy sheets
孟凡响, 王亭, 李丽. 材料硬化模型对6016铝合金成形极限的影响. 汽车工艺与材料, 2026 , (4) : 32 -38 . DOI: 10.19710/J.cnki.1003-8817.20250064
Fanxiang Meng, Ting Wang, Li Li. Influence of Material Hardening Models on Forming Limits of 6016 Aluminum Alloy[J]. Automobile Technology & Material, 2026 , (4) : 32 -38 . DOI: 10.19710/J.cnki.1003-8817.20250064

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doi: 10.19710/J.cnki.1003-8817.20250064
  • 首发时间:2026-09-23
  • 出版时间:2026-04-20
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    1.吉林大学材料科学与工程学院,长春 130022
    2.中车长春轨道客车股份有限公司,长春 130062
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2种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)
属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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