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Kinematic hardening in large strain plasticity

Wallin, Mathias LU ; Ristinmaa, Matti LU and Ottosen, Niels Saabye LU (2003) In European Journal of Mechanics. A, Solids 22(3). p.341-356
Abstract
A finite strain hyper elasto-plastic constitutive model capable to describe non-linear kinematic hardening as well as nonlinear isotropic hardening is presented. In addition to the intermediate configuration and in order to model kinematic hardening, an additional configuration is introduced - the center configuration; both configurations are chosen to be isoclinic. The yield condition is formulated in terms of the Mandel stress and a back-stress with a structure similar to the Mandel stress. It is shown that the non-dissipative part of the plastic velocity gradient not governed by the thermodynamical framework and the corresponding quantity associated with the kinematic hardening influence the material behaviour to a large extent when... (More)
A finite strain hyper elasto-plastic constitutive model capable to describe non-linear kinematic hardening as well as nonlinear isotropic hardening is presented. In addition to the intermediate configuration and in order to model kinematic hardening, an additional configuration is introduced - the center configuration; both configurations are chosen to be isoclinic. The yield condition is formulated in terms of the Mandel stress and a back-stress with a structure similar to the Mandel stress. It is shown that the non-dissipative part of the plastic velocity gradient not governed by the thermodynamical framework and the corresponding quantity associated with the kinematic hardening influence the material behaviour to a large extent when kinematic hardening is present. However, for isotropic elasticity and isotropic hardening plasticity it is shown that the non-dissipative quantities have no influence upon the stress-strain relation. As an example, kinematic hardening von Mises plasticity is considered, which fulfils the plastic incompressibility condition and is independent of the hydrostatic pressure. To evaluate the response and to examine the influence of the non-dissipative quantities, simple shear is considered; no stress oscillations occur. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
finite strain, kinematic hardening
in
European Journal of Mechanics. A, Solids
volume
22
issue
3
pages
341 - 356
publisher
Elsevier
external identifiers
  • wos:000183636500003
  • scopus:2942609675
ISSN
1873-7285
DOI
language
English
LU publication?
yes
id
3cd36b6a-4685-43fc-a94d-71a32d1bcfa4 (old id 308205)
date added to LUP
2007-09-23 14:33:07
date last changed
2018-05-29 10:21:00
@article{3cd36b6a-4685-43fc-a94d-71a32d1bcfa4,
  abstract     = {A finite strain hyper elasto-plastic constitutive model capable to describe non-linear kinematic hardening as well as nonlinear isotropic hardening is presented. In addition to the intermediate configuration and in order to model kinematic hardening, an additional configuration is introduced - the center configuration; both configurations are chosen to be isoclinic. The yield condition is formulated in terms of the Mandel stress and a back-stress with a structure similar to the Mandel stress. It is shown that the non-dissipative part of the plastic velocity gradient not governed by the thermodynamical framework and the corresponding quantity associated with the kinematic hardening influence the material behaviour to a large extent when kinematic hardening is present. However, for isotropic elasticity and isotropic hardening plasticity it is shown that the non-dissipative quantities have no influence upon the stress-strain relation. As an example, kinematic hardening von Mises plasticity is considered, which fulfils the plastic incompressibility condition and is independent of the hydrostatic pressure. To evaluate the response and to examine the influence of the non-dissipative quantities, simple shear is considered; no stress oscillations occur.},
  author       = {Wallin, Mathias and Ristinmaa, Matti and Ottosen, Niels Saabye},
  issn         = {1873-7285},
  keyword      = {finite strain,kinematic hardening},
  language     = {eng},
  number       = {3},
  pages        = {341--356},
  publisher    = {Elsevier},
  series       = {European Journal of Mechanics. A, Solids},
  title        = {Kinematic hardening in large strain plasticity},
  url          = {http://dx.doi.org/},
  volume       = {22},
  year         = {2003},
}