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A constitutive model for the formation of martensite in austenitic steels under large strain plasticity

Hallberg, Håkan LU ; Håkansson, Paul LU and Ristinmaa, Matti LU (2007) In International Journal of Plasticity 23(7). p.1213-1239
Abstract
A constitutive model for diffusionless phase transitions in elastoplastic materials undergoing large deformations is developed. The model takes basic thermodynamic relations as its starting point and the phase transition is treated through an internal variable (the phase fractions) approach. The usual yield potential is used together with a transformation potential to describe the evolution of the new phase. A numerical implementation of the model is presented, along with the derivation of a consistent algorithmic tangent modulus. Simulations based on the presented model are shown to agree well with experimental findings. The proposed model provides a robust tool suitable for large-scale simulations of phase transformations in austenitic... (More)
A constitutive model for diffusionless phase transitions in elastoplastic materials undergoing large deformations is developed. The model takes basic thermodynamic relations as its starting point and the phase transition is treated through an internal variable (the phase fractions) approach. The usual yield potential is used together with a transformation potential to describe the evolution of the new phase. A numerical implementation of the model is presented, along with the derivation of a consistent algorithmic tangent modulus. Simulations based on the presented model are shown to agree well with experimental findings. The proposed model provides a robust tool suitable for large-scale simulations of phase transformations in austenitic steels undergoingz extensive deformations, as is demonstrated in simulations of the necking of a bar under tensile loading and also in simulations of a cup deep-drawing process. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
constitutive model, large strain plasticity, phase transformation
in
International Journal of Plasticity
volume
23
issue
7
pages
1213 - 1239
publisher
Elsevier
external identifiers
  • wos:000246389000006
  • scopus:33947685493
ISSN
0749-6419
DOI
10.1016/j.ijplas.2006.11.002
language
English
LU publication?
yes
id
a1daacbc-50d2-45c1-bf9d-2dee4dd0c2e8 (old id 659505)
date added to LUP
2007-12-07 14:56:55
date last changed
2017-08-06 04:36:07
@article{a1daacbc-50d2-45c1-bf9d-2dee4dd0c2e8,
  abstract     = {A constitutive model for diffusionless phase transitions in elastoplastic materials undergoing large deformations is developed. The model takes basic thermodynamic relations as its starting point and the phase transition is treated through an internal variable (the phase fractions) approach. The usual yield potential is used together with a transformation potential to describe the evolution of the new phase. A numerical implementation of the model is presented, along with the derivation of a consistent algorithmic tangent modulus. Simulations based on the presented model are shown to agree well with experimental findings. The proposed model provides a robust tool suitable for large-scale simulations of phase transformations in austenitic steels undergoingz extensive deformations, as is demonstrated in simulations of the necking of a bar under tensile loading and also in simulations of a cup deep-drawing process.},
  author       = {Hallberg, Håkan and Håkansson, Paul and Ristinmaa, Matti},
  issn         = {0749-6419},
  keyword      = {constitutive model,large strain plasticity,phase transformation},
  language     = {eng},
  number       = {7},
  pages        = {1213--1239},
  publisher    = {Elsevier},
  series       = {International Journal of Plasticity},
  title        = {A constitutive model for the formation of martensite in austenitic steels under large strain plasticity},
  url          = {http://dx.doi.org/10.1016/j.ijplas.2006.11.002},
  volume       = {23},
  year         = {2007},
}