The finite element implementation, validation and verification of a plane stress yield criterion for use in sheet metal forming analysis

W. Kilpatrick, Desmond Brown, AG Leacock

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The Leacock 2006 orthotropic yield criterion, previously developed and experimentally verified by Leacock 1, was implemented as a rate independent, elastoplastic user material subroutine (UMAT) within the commercial finite element software PAM-STAMP 2G™. This paper focuses on the implementation and the computational and experimental validation of the Leacock UMAT. The \{UMAT\} architecture incorporates the Associated Flow Rule (AFR), and the Cutting Plane Algorithm for the integration of the elastoplastic constitutive equations. The \{UMAT\} driven simulations of deep drawing and stretching operations were compared to data collected from laboratory performed experimental deep drawing of AA2024-O and AA6451-T4, and stretching of AA2024-T3 under the action of a hemispherical punch. The Hill family of yield criteria provided a relative comparison. The Leacock 2006 \{UMAT\} provided an accurate prediction of the punch force versus displacement, and in the prediction of the experimental major and minor strain in the stretching of AA2024-T3. The Leacock 2006 \{UMAT\} provided an acceptable accuracy of the earing profile and the experimental punch force versus displacement during the deep drawing of the aluminium alloys 2024-O and 6451-T4.
LanguageEnglish
Pages363 - 375
JournalInternational Journal of Mechanical Sciences
Volume101–10
DOIs
Publication statusPublished - 2015

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Subroutines
Metal forming
Sheet metal
Yield stress
Deep drawing
Stretching
Pulse amplitude modulation
Constitutive equations
Aluminum alloys

Keywords

  • User material model.

Cite this

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title = "The finite element implementation, validation and verification of a plane stress yield criterion for use in sheet metal forming analysis",
abstract = "The Leacock 2006 orthotropic yield criterion, previously developed and experimentally verified by Leacock 1, was implemented as a rate independent, elastoplastic user material subroutine (UMAT) within the commercial finite element software PAM-STAMP 2G™. This paper focuses on the implementation and the computational and experimental validation of the Leacock UMAT. The \{UMAT\} architecture incorporates the Associated Flow Rule (AFR), and the Cutting Plane Algorithm for the integration of the elastoplastic constitutive equations. The \{UMAT\} driven simulations of deep drawing and stretching operations were compared to data collected from laboratory performed experimental deep drawing of AA2024-O and AA6451-T4, and stretching of AA2024-T3 under the action of a hemispherical punch. The Hill family of yield criteria provided a relative comparison. The Leacock 2006 \{UMAT\} provided an accurate prediction of the punch force versus displacement, and in the prediction of the experimental major and minor strain in the stretching of AA2024-T3. The Leacock 2006 \{UMAT\} provided an acceptable accuracy of the earing profile and the experimental punch force versus displacement during the deep drawing of the aluminium alloys 2024-O and 6451-T4.",
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The finite element implementation, validation and verification of a plane stress yield criterion for use in sheet metal forming analysis. / Kilpatrick, W.; Brown, Desmond; Leacock, AG.

In: International Journal of Mechanical Sciences, Vol. 101–10, 2015, p. 363 - 375.

Research output: Contribution to journalArticle

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AB - The Leacock 2006 orthotropic yield criterion, previously developed and experimentally verified by Leacock 1, was implemented as a rate independent, elastoplastic user material subroutine (UMAT) within the commercial finite element software PAM-STAMP 2G™. This paper focuses on the implementation and the computational and experimental validation of the Leacock UMAT. The \{UMAT\} architecture incorporates the Associated Flow Rule (AFR), and the Cutting Plane Algorithm for the integration of the elastoplastic constitutive equations. The \{UMAT\} driven simulations of deep drawing and stretching operations were compared to data collected from laboratory performed experimental deep drawing of AA2024-O and AA6451-T4, and stretching of AA2024-T3 under the action of a hemispherical punch. The Hill family of yield criteria provided a relative comparison. The Leacock 2006 \{UMAT\} provided an accurate prediction of the punch force versus displacement, and in the prediction of the experimental major and minor strain in the stretching of AA2024-T3. The Leacock 2006 \{UMAT\} provided an acceptable accuracy of the earing profile and the experimental punch force versus displacement during the deep drawing of the aluminium alloys 2024-O and 6451-T4.

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