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Finite element implementation of large deformation micropolar plasticity exhibiting isotropic and kinematic hardening effects
Author(s) -
Grammenoudis P.,
Tsakmakis Ch.
Publication year - 2005
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.1243
Subject(s) - plasticity , stress space , constitutive equation , cauchy stress tensor , finite element method , cauchy elastic material , kinematics , isotropy , hardening (computing) , tensor (intrinsic definition) , stress (linguistics) , finite strain theory , deformation (meteorology) , mechanics , classical mechanics , mathematics , mathematical analysis , structural engineering , geometry , physics , materials science , engineering , thermodynamics , composite material , quantum mechanics , layer (electronics) , linguistics , philosophy
Micropolar theories offer a possibility to model size effects in the constitutive behaviour of materials. Typical feature of such models is that they deal with a microrotation, which is supposed to represent an independent state variable, and its space gradient. As a consequence, the stress tensor is no longer symmetric and couple stresses enter the theory. Accordingly, a micropolar plasticity law exhibiting kinematic hardening effects should account for both, a back‐stress tensor and a back‐couple stress tensor. This has been considered in the micropolar plasticity model developed by Grammenoudis and Tsakmakis. The purpose of the current paper is to specify some constitutive functions in this model, to elucidate the finite element implementation as well as to demonstrate its capabilities in describing size effects. Copyright © 2005 John Wiley & Sons, Ltd.