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Finite element method for sheet forming based on an anisotropic strain-rate potential and the convected coordinate system

Version 2 2024-06-03, 17:05
Version 1 2017-05-17, 13:45
journal contribution
posted on 2024-06-03, 17:05 authored by Jeong YoonJeong Yoon, IS Song, DY Yang, K Chung, F Barlat
A variational formulation and the associated finite element (FE) equations have been derived for general three-dimensional deformation of a planar anisotropic rigid-plastic sheet metal which obeys the strain-rate potential proposed by Barlat et al. [Int. J. Plasticity 9, 1(1993)]. By using the natural convected coordinate system, the effect of geometric change and the rotation of planar anisotropic axes were efficiently considered. In order to check the validity of the present formulation, a cylindrical cup deep drawing test was modeled for a 2008-T4 aluminum alloy sheet sample. Eating simulations were performed and planar anisotropic material properties were experimentally determined. Even though quantitative agreement was not fully achieved, reasonably good agreement was found between the FE simulation and the experiment in thickness strain distribution and caring. No numerical difficulty due to planar anisotropy was encountered, and the computational procedure was found to be very stable, requiring only moderate computational time. The results have shown that the present formulation for planar anisotropic deformation can provide a good basis for the analysis of sheet metal forming processes for planar anisotropic materials, especially for aluminum alloy sheets.

History

Journal

International journal of mechanical sciences

Volume

37

Pagination

733-752

Location

Kidlington, Eng.

ISSN

0020-7403

eISSN

1879-2162

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

1995, Elsevier

Issue

7

Publisher

Elsevier

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