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A unified approach to the implicit integration of standard, non‐standard and viscous plasticity models
Author(s) -
de Borst René,
Heeres Otto M.
Publication year - 2002
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.234
Subject(s) - plasticity , viscoplasticity , yield surface , tangent , completeness (order theory) , mathematics , surface (topology) , operator (biology) , point (geometry) , calculus (dental) , computer science , mathematical analysis , structural engineering , finite element method , geometry , constitutive equation , engineering , materials science , medicine , biochemistry , chemistry , dentistry , repressor , transcription factor , composite material , gene
It is shown how modern concepts to integrate the elasto‐plastic rate equations of standard plasticity via an implicit algorithm can be generalized to plasticity without an explicitly defined yield surface and to overstress‐type models of viscoplasticity, where the stress point can be located outside the loading surface. For completeness, a tangent operator is derived that is consistent with the update algorithm. Copyright © 2002 John Wiley & Sons, Ltd.