{"title":"非关联流动规律下基于应力不变量的各向异性屈服函数的产量预测","authors":"Saijun Zhang, Yanshan Lou, Jeong Whan Yoon","doi":"10.1007/s12289-023-01749-0","DOIUrl":null,"url":null,"abstract":"<div><h2>Abstract\n</h2><div><p>In this work, a recently proposed anisotropic Drucker function is implemented with non-associated flow rule (non-AFR) to predict the earing profile during cup drawing. The finite element formulation under non-AFR is developed for the precise simulation of the deep drawing process with a strong anisotropic aluminum alloy of AA2090-T3. The comparison between the simulation and experimental results reveals that the earing profile numerically predicted by the anisotropic Drucker function under non-AFR is in good agreement with the measured profile from experiments. It’s also reveal that the improvement of accuracy of prediction for r-values does not always mean the synchronously improvement in prediction the earing profile for strong anisotropic phenomena of deep drawing for AA2090-T3. The computation efficiency of the anisotropic Drucker function is also investigated and compared with the Yld2004-18p function, which shows that 40% reduction of computational cost can be reached. The influence of different shapes of yield and potential on earing prediction is also investigated by combining the anisotropic Drucker function and Yld2004-18p function under non-AFR, which demonstrates that a proper shape of plastic potential is very important to predict the small ear around 0º for AA2090-T3. It also proves that both the yield and plastic potential functions strongly influence the height and earing profile in the simulation of cup deep drawing. It’s also should be mentioned that the r-value does not keep constant in the simulation in the uniaxial tension of a single cubic element, but varies with the increase of plastic deformation in directional uniaxial tension, which may raise the difficulty for accurately prediction in metal forming.</p></div></div>","PeriodicalId":591,"journal":{"name":"International Journal of Material Forming","volume":null,"pages":null},"PeriodicalIF":2.6000,"publicationDate":"2023-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12289-023-01749-0.pdf","citationCount":"2","resultStr":"{\"title\":\"Earing prediction with a stress invariant-based anisotropic yield function under non-associated flow rule\",\"authors\":\"Saijun Zhang, Yanshan Lou, Jeong Whan Yoon\",\"doi\":\"10.1007/s12289-023-01749-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><h2>Abstract\\n</h2><div><p>In this work, a recently proposed anisotropic Drucker function is implemented with non-associated flow rule (non-AFR) to predict the earing profile during cup drawing. The finite element formulation under non-AFR is developed for the precise simulation of the deep drawing process with a strong anisotropic aluminum alloy of AA2090-T3. The comparison between the simulation and experimental results reveals that the earing profile numerically predicted by the anisotropic Drucker function under non-AFR is in good agreement with the measured profile from experiments. It’s also reveal that the improvement of accuracy of prediction for r-values does not always mean the synchronously improvement in prediction the earing profile for strong anisotropic phenomena of deep drawing for AA2090-T3. The computation efficiency of the anisotropic Drucker function is also investigated and compared with the Yld2004-18p function, which shows that 40% reduction of computational cost can be reached. The influence of different shapes of yield and potential on earing prediction is also investigated by combining the anisotropic Drucker function and Yld2004-18p function under non-AFR, which demonstrates that a proper shape of plastic potential is very important to predict the small ear around 0º for AA2090-T3. It also proves that both the yield and plastic potential functions strongly influence the height and earing profile in the simulation of cup deep drawing. It’s also should be mentioned that the r-value does not keep constant in the simulation in the uniaxial tension of a single cubic element, but varies with the increase of plastic deformation in directional uniaxial tension, which may raise the difficulty for accurately prediction in metal forming.</p></div></div>\",\"PeriodicalId\":591,\"journal\":{\"name\":\"International Journal of Material Forming\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.6000,\"publicationDate\":\"2023-03-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s12289-023-01749-0.pdf\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Material Forming\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s12289-023-01749-0\",\"RegionNum\":3,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, MANUFACTURING\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Material Forming","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1007/s12289-023-01749-0","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MANUFACTURING","Score":null,"Total":0}
Earing prediction with a stress invariant-based anisotropic yield function under non-associated flow rule
Abstract
In this work, a recently proposed anisotropic Drucker function is implemented with non-associated flow rule (non-AFR) to predict the earing profile during cup drawing. The finite element formulation under non-AFR is developed for the precise simulation of the deep drawing process with a strong anisotropic aluminum alloy of AA2090-T3. The comparison between the simulation and experimental results reveals that the earing profile numerically predicted by the anisotropic Drucker function under non-AFR is in good agreement with the measured profile from experiments. It’s also reveal that the improvement of accuracy of prediction for r-values does not always mean the synchronously improvement in prediction the earing profile for strong anisotropic phenomena of deep drawing for AA2090-T3. The computation efficiency of the anisotropic Drucker function is also investigated and compared with the Yld2004-18p function, which shows that 40% reduction of computational cost can be reached. The influence of different shapes of yield and potential on earing prediction is also investigated by combining the anisotropic Drucker function and Yld2004-18p function under non-AFR, which demonstrates that a proper shape of plastic potential is very important to predict the small ear around 0º for AA2090-T3. It also proves that both the yield and plastic potential functions strongly influence the height and earing profile in the simulation of cup deep drawing. It’s also should be mentioned that the r-value does not keep constant in the simulation in the uniaxial tension of a single cubic element, but varies with the increase of plastic deformation in directional uniaxial tension, which may raise the difficulty for accurately prediction in metal forming.
期刊介绍:
The Journal publishes and disseminates original research in the field of material forming. The research should constitute major achievements in the understanding, modeling or simulation of material forming processes. In this respect ‘forming’ implies a deliberate deformation of material.
The journal establishes a platform of communication between engineers and scientists, covering all forming processes, including sheet forming, bulk forming, powder forming, forming in near-melt conditions (injection moulding, thixoforming, film blowing etc.), micro-forming, hydro-forming, thermo-forming, incremental forming etc. Other manufacturing technologies like machining and cutting can be included if the focus of the work is on plastic deformations.
All materials (metals, ceramics, polymers, composites, glass, wood, fibre reinforced materials, materials in food processing, biomaterials, nano-materials, shape memory alloys etc.) and approaches (micro-macro modelling, thermo-mechanical modelling, numerical simulation including new and advanced numerical strategies, experimental analysis, inverse analysis, model identification, optimization, design and control of forming tools and machines, wear and friction, mechanical behavior and formability of materials etc.) are concerned.