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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 and Leacock, AG (2015) The finite element implementation, validation and verification of a plane stress yield criterion for use in sheet metal forming analysis. International Journal of Mechanical Sciences, 101–10 . 363 - 375. [Journal article]

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URL: http://www.sciencedirect.com/science/article/pii/S0020740315002180

DOI: http://dx.doi.org/10.1016/j.ijmecsci.2015.06.007

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.

Item Type:Journal article
Keywords:User material model.
Faculties and Schools:Faculty of Computing & Engineering
Faculty of Computing & Engineering > School of Engineering
Research Institutes and Groups:Engineering Research Institute
Engineering Research Institute > Advanced Metal Forming
ID Code:33305
Deposited By: Dr Alan Leacock
Deposited On:15 Feb 2016 09:51
Last Modified:15 Feb 2016 09:51

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