Comparison of Laser Coordinate Measurements and Hierarchical Multiscale Finite Element Models for the Cup Drawing of Three Commercial Aluminum Alloys

Diego Ricardo Pichardo; Miguel Ángel Ramírez; Leo A.I. Kestens; Albert Van Bael; Rafael Schouwenaars

doi:10.1007/978-3-031-58006-2_26

Comparison of Laser Coordinate Measurements and Hierarchical Multiscale Finite Element Models for the Cup Drawing of Three Commercial Aluminum Alloys

Diego Ricardo Pichardo, Miguel Ángel Ramírez, Leo A.I. Kestens, Albert Van Bael, Rafael Schouwenaars^*

^*Corresponding author for this work

Team Maria Santofimia Navarro

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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Abstract

Cup drawing is a benchmark experiment frequently used to validate anisotropic constitutive models and multiscale crystal plasticity codes for yield locus prediction. Earing of the cup rim and thickness variation along the cup wall are sensitive to plastic anisotropy. This test was implemented on an industrial forming press and applied to 85 mm diameter disks of commercial AA1100, AA3103, and AA5005 alloy sheet. Cup geometry was determined using a laser probe coordinate measurement machine (CMM). Finite element models (FEM) were developed with ABAQUS Explicit software and a user-defined subroutine for the anisotropic yield locus based on the hierarchical multiscale model (HMS). As the coordinate cloud produced by the CMM is unrelated to the nodes of the deformed FEM-mesh, both were fitted to a polynomial-Fourier series expansion. After cleaning and correction of the CMM data, point-by-point comparison can be performed between model and experiment. For AA1100, the position of the ears was correctly identified but their magnitude was underestimated. Excellent coincidence was found for AA5005, with strong ears at 0 and 90°. The small ears at -30° and 30° and secondary ears at 90° were correctly predicted for AA3013.

Original language	English
Title of host publication	Numerical Methods in Industrial Forming Processes
Subtitle of host publication	Numiform 2023
Editors	Jan Kusiak, Łukasz Rauch, Krzysztof Regulski
Publisher	Springer
Pages	337-346
Number of pages	10
ISBN (Electronic)	978-3-031-58006-2
ISBN (Print)	978-3-031-58005-5
DOIs	https://doi.org/10.1007/978-3-031-58006-2_26
Publication status	Published - 2024
Event	14th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2023 - Kraków, Poland Duration: 25 Jun 2023 → 29 Jun 2023

Publication series

Name	Lecture Notes in Mechanical Engineering
ISSN (Print)	2195-4356
ISSN (Electronic)	2195-4364

Conference

Conference	14th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2023
Country/Territory	Poland
City	Kraków
Period	25/06/23 → 29/06/23

Keywords

Aluminum alloy
Coordinate measurement
Cup drawing
Multiscale modeling
Yield locus

Access to Document

10.1007/978-3-031-58006-2_26

978-3-031-58006-2_26Final published version, 338 KBLicence: CC BY

Cite this

Pichardo, D. R., Ramírez, M. Á., Kestens, L. A. I., Van Bael, A., & Schouwenaars, R. (2024). Comparison of Laser Coordinate Measurements and Hierarchical Multiscale Finite Element Models for the Cup Drawing of Three Commercial Aluminum Alloys. In J. Kusiak, Ł. Rauch, & K. Regulski (Eds.), Numerical Methods in Industrial Forming Processes: Numiform 2023 (pp. 337-346). (Lecture Notes in Mechanical Engineering). Springer. https://doi.org/10.1007/978-3-031-58006-2_26

Pichardo, Diego Ricardo ; Ramírez, Miguel Ángel ; Kestens, Leo A.I. et al. / Comparison of Laser Coordinate Measurements and Hierarchical Multiscale Finite Element Models for the Cup Drawing of Three Commercial Aluminum Alloys. Numerical Methods in Industrial Forming Processes: Numiform 2023. editor / Jan Kusiak ; Łukasz Rauch ; Krzysztof Regulski. Springer, 2024. pp. 337-346 (Lecture Notes in Mechanical Engineering).

@inproceedings{4813df770b3d492eb7d1a16cef285133,

title = "Comparison of Laser Coordinate Measurements and Hierarchical Multiscale Finite Element Models for the Cup Drawing of Three Commercial Aluminum Alloys",

abstract = "Cup drawing is a benchmark experiment frequently used to validate anisotropic constitutive models and multiscale crystal plasticity codes for yield locus prediction. Earing of the cup rim and thickness variation along the cup wall are sensitive to plastic anisotropy. This test was implemented on an industrial forming press and applied to 85 mm diameter disks of commercial AA1100, AA3103, and AA5005 alloy sheet. Cup geometry was determined using a laser probe coordinate measurement machine (CMM). Finite element models (FEM) were developed with ABAQUS Explicit software and a user-defined subroutine for the anisotropic yield locus based on the hierarchical multiscale model (HMS). As the coordinate cloud produced by the CMM is unrelated to the nodes of the deformed FEM-mesh, both were fitted to a polynomial-Fourier series expansion. After cleaning and correction of the CMM data, point-by-point comparison can be performed between model and experiment. For AA1100, the position of the ears was correctly identified but their magnitude was underestimated. Excellent coincidence was found for AA5005, with strong ears at 0 and 90°. The small ears at -30° and 30° and secondary ears at 90° were correctly predicted for AA3013.",

keywords = "Aluminum alloy, Coordinate measurement, Cup drawing, Multiscale modeling, Yield locus",

author = "Pichardo, {Diego Ricardo} and Ram{\'i}rez, {Miguel {\'A}ngel} and Kestens, {Leo A.I.} and {Van Bael}, Albert and Rafael Schouwenaars",

year = "2024",

doi = "10.1007/978-3-031-58006-2_26",

language = "English",

isbn = "978-3-031-58005-5",

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publisher = "Springer",

pages = "337--346",

editor = "Jan Kusiak and {\L}ukasz Rauch and Krzysztof Regulski",

booktitle = "Numerical Methods in Industrial Forming Processes",

note = "14th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2023 ; Conference date: 25-06-2023 Through 29-06-2023",

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Pichardo, DR, Ramírez, MÁ, Kestens, LAI, Van Bael, A & Schouwenaars, R 2024, Comparison of Laser Coordinate Measurements and Hierarchical Multiscale Finite Element Models for the Cup Drawing of Three Commercial Aluminum Alloys. in J Kusiak, Ł Rauch & K Regulski (eds), Numerical Methods in Industrial Forming Processes: Numiform 2023. Lecture Notes in Mechanical Engineering, Springer, pp. 337-346, 14th International Conference on Numerical Methods in Industrial Forming Processes, NUMIFORM 2023, Kraków, Poland, 25/06/23. https://doi.org/10.1007/978-3-031-58006-2_26

Comparison of Laser Coordinate Measurements and Hierarchical Multiscale Finite Element Models for the Cup Drawing of Three Commercial Aluminum Alloys. / Pichardo, Diego Ricardo; Ramírez, Miguel Ángel; Kestens, Leo A.I. et al.
Numerical Methods in Industrial Forming Processes: Numiform 2023. ed. / Jan Kusiak; Łukasz Rauch; Krzysztof Regulski. Springer, 2024. p. 337-346 (Lecture Notes in Mechanical Engineering).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Comparison of Laser Coordinate Measurements and Hierarchical Multiscale Finite Element Models for the Cup Drawing of Three Commercial Aluminum Alloys

AU - Pichardo, Diego Ricardo

AU - Ramírez, Miguel Ángel

AU - Kestens, Leo A.I.

AU - Van Bael, Albert

AU - Schouwenaars, Rafael

PY - 2024

Y1 - 2024

N2 - Cup drawing is a benchmark experiment frequently used to validate anisotropic constitutive models and multiscale crystal plasticity codes for yield locus prediction. Earing of the cup rim and thickness variation along the cup wall are sensitive to plastic anisotropy. This test was implemented on an industrial forming press and applied to 85 mm diameter disks of commercial AA1100, AA3103, and AA5005 alloy sheet. Cup geometry was determined using a laser probe coordinate measurement machine (CMM). Finite element models (FEM) were developed with ABAQUS Explicit software and a user-defined subroutine for the anisotropic yield locus based on the hierarchical multiscale model (HMS). As the coordinate cloud produced by the CMM is unrelated to the nodes of the deformed FEM-mesh, both were fitted to a polynomial-Fourier series expansion. After cleaning and correction of the CMM data, point-by-point comparison can be performed between model and experiment. For AA1100, the position of the ears was correctly identified but their magnitude was underestimated. Excellent coincidence was found for AA5005, with strong ears at 0 and 90°. The small ears at -30° and 30° and secondary ears at 90° were correctly predicted for AA3013.

AB - Cup drawing is a benchmark experiment frequently used to validate anisotropic constitutive models and multiscale crystal plasticity codes for yield locus prediction. Earing of the cup rim and thickness variation along the cup wall are sensitive to plastic anisotropy. This test was implemented on an industrial forming press and applied to 85 mm diameter disks of commercial AA1100, AA3103, and AA5005 alloy sheet. Cup geometry was determined using a laser probe coordinate measurement machine (CMM). Finite element models (FEM) were developed with ABAQUS Explicit software and a user-defined subroutine for the anisotropic yield locus based on the hierarchical multiscale model (HMS). As the coordinate cloud produced by the CMM is unrelated to the nodes of the deformed FEM-mesh, both were fitted to a polynomial-Fourier series expansion. After cleaning and correction of the CMM data, point-by-point comparison can be performed between model and experiment. For AA1100, the position of the ears was correctly identified but their magnitude was underestimated. Excellent coincidence was found for AA5005, with strong ears at 0 and 90°. The small ears at -30° and 30° and secondary ears at 90° were correctly predicted for AA3013.

KW - Aluminum alloy

KW - Coordinate measurement

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KW - Yield locus

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DO - 10.1007/978-3-031-58006-2_26

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AN - SCOPUS:85201954529

SN - 978-3-031-58005-5

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Pichardo DR, Ramírez MÁ, Kestens LAI, Van Bael A, Schouwenaars R. Comparison of Laser Coordinate Measurements and Hierarchical Multiscale Finite Element Models for the Cup Drawing of Three Commercial Aluminum Alloys. In Kusiak J, Rauch Ł, Regulski K, editors, Numerical Methods in Industrial Forming Processes: Numiform 2023. Springer. 2024. p. 337-346. (Lecture Notes in Mechanical Engineering). doi: 10.1007/978-3-031-58006-2_26

Comparison of Laser Coordinate Measurements and Hierarchical Multiscale Finite Element Models for the Cup Drawing of Three Commercial Aluminum Alloys

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