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Effects of yield surface shape on sheet metal forming simulations
Author(s) -
Liao K.C.,
Pan J.,
Tang S. C.
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19980215)41:3<559::aid-nme299>3.0.co;2-t
Subject(s) - yield (engineering) , yield surface , anisotropy , sheet metal , materials science , finite element method , plane stress , surface (topology) , plasticity , normal , compressibility , plane (geometry) , shell (structure) , composite material , tola , mechanics , geometry , structural engineering , constitutive equation , mathematics , optics , physics , engineering
Three phenomenological yield criteria are adopted to describe the plastic behaviour of sheet metals with normal plastic anisotropy. The sheet metals are assumed to be elastic‐plastic, rate‐sensitive and incompressible. A rate‐sensitive thin shell finite element formulation based on the virtual work principle is derived for the three yield criteria. The effects of the yield surface shapes based on the three yield criteria with the same value of the plastic anisotropy parameter R on the strain distribution and localization are investigated under a hemispherical punch stretching operation and a plane strain rawing operation. The results of the simulations show that the yield surface shape, in addition to the plastic anisotropy parameter R , controls the punch force, strain distribution and strain localization for the punch stretching operation. However, the yield surface shape does not affect the punch force and the strain distribution significantly for the plane strain drawing operation. © 1998 John Wiley & Sons, Ltd.