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Thermodynamic format and heat generation of isotropic hardening plasticity

Ristinmaa, Matti LU ; Wallin, Mathias LU and Ottosen, Niels Saabye LU (2007) In Acta Mechanica 194(1-4). p.103-121
Abstract
Heat generation due to plastic deformation of metals and steel is studied. Whereas in many investigations it is assumed that the fraction eta of the plastic work transformed into heat is constant throughout the deformation process, the fraction eta is here derived from thermodynamic considerations in a large-strain setting. It is shown that for elasto-plasticity the fraction eta follows as a result of the choice of free energy, potential function and yield function. Taking the stress-strain response and the dissipative properties of the material as basis for calibration, it is shown that the thermodynamic framework of a thermoplastic material is non-unique for the general situation of non-associated plasticity. In the investigation... (More)
Heat generation due to plastic deformation of metals and steel is studied. Whereas in many investigations it is assumed that the fraction eta of the plastic work transformed into heat is constant throughout the deformation process, the fraction eta is here derived from thermodynamic considerations in a large-strain setting. It is shown that for elasto-plasticity the fraction eta follows as a result of the choice of free energy, potential function and yield function. Taking the stress-strain response and the dissipative properties of the material as basis for calibration, it is shown that the thermodynamic framework of a thermoplastic material is non-unique for the general situation of non-associated plasticity. In the investigation conducted here, the mechanical response and the portion of the plastic work converted into heat (or into stored energy) during plastic deformations is predicted by means of isotropic hardening von Mises plasticity. It is shown that for a situation in which the internal variable is taken as the effective plastic, close fitting to experimental data requires a non-associated format of the evolution law for the internal variable. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Acta Mechanica
volume
194
issue
1-4
pages
103 - 121
publisher
Springer
external identifiers
  • wos:000250536600007
  • scopus:35648957221
ISSN
0001-5970
DOI
10.1007/s00707-007-0448-6
language
English
LU publication?
yes
id
df6caa53-2034-4bb3-b3eb-fae2b57f8929 (old id 653296)
date added to LUP
2007-12-14 12:04:41
date last changed
2017-08-13 03:46:48
@article{df6caa53-2034-4bb3-b3eb-fae2b57f8929,
  abstract     = {Heat generation due to plastic deformation of metals and steel is studied. Whereas in many investigations it is assumed that the fraction eta of the plastic work transformed into heat is constant throughout the deformation process, the fraction eta is here derived from thermodynamic considerations in a large-strain setting. It is shown that for elasto-plasticity the fraction eta follows as a result of the choice of free energy, potential function and yield function. Taking the stress-strain response and the dissipative properties of the material as basis for calibration, it is shown that the thermodynamic framework of a thermoplastic material is non-unique for the general situation of non-associated plasticity. In the investigation conducted here, the mechanical response and the portion of the plastic work converted into heat (or into stored energy) during plastic deformations is predicted by means of isotropic hardening von Mises plasticity. It is shown that for a situation in which the internal variable is taken as the effective plastic, close fitting to experimental data requires a non-associated format of the evolution law for the internal variable.},
  author       = {Ristinmaa, Matti and Wallin, Mathias and Ottosen, Niels Saabye},
  issn         = {0001-5970},
  language     = {eng},
  number       = {1-4},
  pages        = {103--121},
  publisher    = {Springer},
  series       = {Acta Mechanica},
  title        = {Thermodynamic format and heat generation of isotropic hardening plasticity},
  url          = {http://dx.doi.org/10.1007/s00707-007-0448-6},
  volume       = {194},
  year         = {2007},
}