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Elastic‐viscoplastic differential equations on a manifold modelling of in‐plane stretching of sheet metal
Author(s) -
Hall C. A.,
De Carlo L. E.,
Wenner M. L.,
Troyani N. L.
Publication year - 1993
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/nme.1620362104
Subject(s) - viscoplasticity , sheet metal , rotational symmetry , plasticity , plane (geometry) , plane stress , manifold (fluid mechanics) , metal forming , differential equation , deformation (meteorology) , mathematical analysis , mathematics , materials science , computer science , mechanics , constitutive equation , geometry , physics , mechanical engineering , structural engineering , finite element method , engineering , composite material
The computational method for large deformation plasticity called differential equations on a manifold (DEM) has previously been shown to be effective for axisymmetric and plane strain sheet metal forming problems. The method has now been formulated for in‐plane stretching problems, incorporated into a computer code, and applied to several problems. The code's performance is robust and accurate, as evidenced by a comparison with other published results. Incorporation of an automatic mesh generator significantly reduces data preparation time.