File(s) under permanent embargo
Elasto-plastic finite element method based on incremental deformation theory and continuum based shell elements for planar anisotropic sheet materials
journal contribution
posted on 1999-05-04, 00:00 authored by Jeong YoonJeong Yoon, D Y Yang, K ChungAn 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-piastic formulation, continuum based resultant (CBR) shell element is employed. The CBR shell allows large rotation and large membrane/bending 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.
History
Journal
Computer methods in applied mechanics and engineeringVolume
174Issue
1-2Pagination
23 - 56Publisher
ElsevierLocation
Amsterdam, The NetherlandsPublisher DOI
ISSN
0045-7825Language
engPublication classification
C1.1 Refereed article in a scholarly journalCopyright notice
1999, ElsevierUsage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC