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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/229694
- author
- Wallin, Mathias
LU
and Ristinmaa, Matti
LU
- organization
- publishing date
- 2005
- 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
- 2016-04-01 16:10:38
- date last changed
- 2022-03-07 04:06:53
@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}},
keywords = {{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}},
doi = {{10.1016/j.ijplas.2005.01.007}},
volume = {{21}},
year = {{2005}},
}