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Deformation gradient based kinematic hardening model

Wallin, Mathias LU and Ristinmaa, Matti LU (2005) In International Journal of Plasticity 21(10). p.2025-2050
Abstract
A kinematic hardening model applicable to finite strains is presented. The kinematic hardening concept is based on the residual stresses that evolve due to different obstacles that are present in a polycrystalline material, such as grain boundaries, cross slips, etc. Since these residual stresses are a manifestation of the distortion of the crystal lattice a corresponding deformation gradient is introduced to represent this distortion. The residual stresses are interpreted in terms of the form of a back-stress tensor, i.e. the kinematic hardening model is based on a deformation gradient which determines the back-stress tensor. A set of evolution equations is used to describe the evolution of the deforrnation gradient. Non-dissipative... (More)
A kinematic hardening model applicable to finite strains is presented. The kinematic hardening concept is based on the residual stresses that evolve due to different obstacles that are present in a polycrystalline material, such as grain boundaries, cross slips, etc. Since these residual stresses are a manifestation of the distortion of the crystal lattice a corresponding deformation gradient is introduced to represent this distortion. The residual stresses are interpreted in terms of the form of a back-stress tensor, i.e. the kinematic hardening model is based on a deformation gradient which determines the back-stress tensor. A set of evolution equations is used to describe the evolution of the deforrnation gradient. Non-dissipative quantities are allowed in the model and the implications of these are discussed. Von Mises plasticity for which the uniaxial stress-strain relation can be obtained in closed form serves as a model problem. For uniaxial loading, this model yields: a kinematic hardening identical to the hardening produced by isotropic exponential hardening. The numerical implementation of the model is discussed. Finite element simulations showing the capabilities of the model are presented. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
finite strain plasticity, non-linear kinematic hardening, exponential, update
in
International Journal of Plasticity
volume
21
issue
10
pages
2025 - 2050
publisher
Elsevier
external identifiers
  • wos:000231103800007
  • scopus:18844407763
ISSN
0749-6419
DOI
10.1016/j.ijplas.2005.01.007
language
English
LU publication?
yes
id
92708ab0-f1f3-46f6-b8bd-450191376ec5 (old id 229694)
date added to LUP
2007-08-10 09:44:54
date last changed
2017-01-01 06:57:53
@article{92708ab0-f1f3-46f6-b8bd-450191376ec5,
  abstract     = {A kinematic hardening model applicable to finite strains is presented. The kinematic hardening concept is based on the residual stresses that evolve due to different obstacles that are present in a polycrystalline material, such as grain boundaries, cross slips, etc. Since these residual stresses are a manifestation of the distortion of the crystal lattice a corresponding deformation gradient is introduced to represent this distortion. The residual stresses are interpreted in terms of the form of a back-stress tensor, i.e. the kinematic hardening model is based on a deformation gradient which determines the back-stress tensor. A set of evolution equations is used to describe the evolution of the deforrnation gradient. Non-dissipative quantities are allowed in the model and the implications of these are discussed. Von Mises plasticity for which the uniaxial stress-strain relation can be obtained in closed form serves as a model problem. For uniaxial loading, this model yields: a kinematic hardening identical to the hardening produced by isotropic exponential hardening. The numerical implementation of the model is discussed. Finite element simulations showing the capabilities of the model are presented.},
  author       = {Wallin, Mathias and Ristinmaa, Matti},
  issn         = {0749-6419},
  keyword      = {finite strain plasticity,non-linear kinematic hardening,exponential,update},
  language     = {eng},
  number       = {10},
  pages        = {2025--2050},
  publisher    = {Elsevier},
  series       = {International Journal of Plasticity},
  title        = {Deformation gradient based kinematic hardening model},
  url          = {http://dx.doi.org/10.1016/j.ijplas.2005.01.007},
  volume       = {21},
  year         = {2005},
}