Elasto-plastic finite element method based on incremental deformation theory and continuum based shell elements for planar anisotropic sheet materials

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An implicit approach for the incremental analysis of planar anisotropic sheet forming processes is developed based on the incremental deformation theory. The incremental deformation theory based on the minimum plastic work path enables convenient decoupling of deformation and rotation by the polar decomposition. The mathematical description of a constitutive law for the incremental deformation theory is obtained from the flow theory along the minimum plastic work path. The resulting constitutive law is then incorporated in an elasto-plastic finite element analysis code. In the elasto-plastic formulation, continuum based resultant (CBR) shell element is employed. The CBR shell allows large rotation and large membrane/branding strain. The laminar coordinate system is taken to coincide with planar anisotropic material axes. Then, planar anisotropic axes during deformation are updated using a newly developed algorithm based on the polar decomposition. An iterative solving method based on the incremental deformation theory is also developed for an accurate and stable stress integration. The planar anisotropy is incorporated into the formulation for sheet forming by introducing non-quadratic Barlat's yield function. For verification purposes, two examples have been simulated and compared with experimental results. The good verification results show that the present elasto-plastic formulation for planar anisotropic sheet materials can provide a good theoretical basis for more extended analyses of sheet forming processes. (C) 1999 Published by Elsevier Science S.A. All rights reserved.
Publisher
ELSEVIER SCIENCE SA
Issue Date
1999-05
Language
English
Article Type
Article
Citation

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.174, no.1-2, pp.23 - 56

ISSN
0045-7825
DOI
10.1016/S0045-7825(98)00275-8
URI
http://hdl.handle.net/10203/76257
Appears in Collection
ME-Journal Papers(저널논문)
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