A general elasto-plastic finite element formulation based on incremental deformation theory for planar anisotropy and its application to sheet metal forming

A new implicit approach for the incremental analysis of planar anisotropic elasto-plastic sheet forming processes was developed based on the incremental deformation theory of plas- ticity. The incremental deformation theory based on minimum work paths enables convenient decoupling of deformation and rotation by the polar decomposition. The mathematical description of a constitutive law for the incremental deformation theory has been previously derived from the ¯ow theory along the minimum plastic work path. The resulting incremental constitutive law is frame-indi€erent (objective) since the theory uses the materially-embedded coordinate system. Utilizing the natural convected coordinate system in the incremental var- iational formulation, the geometrical evolution of materials and the rotation of planar aniso- tropic axes were e€ectively incorporated. Planar anisotropy was represented using a nonquadratic yield function. For veri®cation purposes, the onset of necking as well as the earing of aluminum alloy sheet samples were simulated for circular cup drawing and NUMISHEET'93 square cup drawing. The simulated results were compared with experi- mental results. Simulation was also carried out for NUMISHEET'93 front fender in order to show a computational eciency and robustness.
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
1999
Language
ENG
Keywords

elasto-plastic; finite element formulation; incremental deformation; planar anisotropy

Citation

INTERNATIONAL JOURNAL OF PLASTICITY v.15 no.0749-6419 pp.35 - 67

ISSN
0749-6419
URI
http://hdl.handle.net/10203/2767
Appears in Collection
NE-Journal Papers(저널논문)
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