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Comparison of isotropic hardening and kinematic hardening in thermoplasticity

Håkansson, Paul LU ; Wallin, Mathias LU and Ristinmaa, Matti LU (2005) In International Journal of Plasticity 21(7). p.1435-1460
Abstract
A coupled thermo-mechanical problem is presented in this paper. The constitutive model is based on thermoplastic model for large strains where both kinematic and isotropic hardening are included. It is shown that a non-associated plasticity formulation enables thermodynamic consistent heat generation to be modeled, which can be fitted accurately to experimental data. In the numerical examples the effect of heat generation is investigated and both thermal softening and temperature-dependent thermal material parameters are considered. The constitutive model is formulated such that pure isotropic and pure kinematic hardening yield identical uniaxial mechanical response and mechanical dissipation. Thus, differences in response due to hardening... (More)
A coupled thermo-mechanical problem is presented in this paper. The constitutive model is based on thermoplastic model for large strains where both kinematic and isotropic hardening are included. It is shown that a non-associated plasticity formulation enables thermodynamic consistent heat generation to be modeled, which can be fitted accurately to experimental data. In the numerical examples the effect of heat generation is investigated and both thermal softening and temperature-dependent thermal material parameters are considered. The constitutive model is formulated such that pure isotropic and pure kinematic hardening yield identical uniaxial mechanical response and mechanical dissipation. Thus, differences in response due to hardening during non-proportional loading can be studied. Thermally triggered necking is studied, as well as cyclic loading of Cook's membrane. The numerical examples are solved using the finite element method, and the coupled problem that arises is solved using a staggered method where an isothermal split is adopted. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
thermoplasticity, non-linear kinematic hardening, heat generation
in
International Journal of Plasticity
volume
21
issue
7
pages
1435 - 1460
publisher
Elsevier
external identifiers
  • wos:000228206500007
  • scopus:13844271470
ISSN
0749-6419
DOI
10.1016/j.ijplas.2004.07.002
language
English
LU publication?
yes
id
a1a46693-adb4-4f7e-85a3-0cd3303a4912 (old id 246698)
date added to LUP
2007-08-07 13:59:52
date last changed
2017-07-23 04:30:32
@article{a1a46693-adb4-4f7e-85a3-0cd3303a4912,
  abstract     = {A coupled thermo-mechanical problem is presented in this paper. The constitutive model is based on thermoplastic model for large strains where both kinematic and isotropic hardening are included. It is shown that a non-associated plasticity formulation enables thermodynamic consistent heat generation to be modeled, which can be fitted accurately to experimental data. In the numerical examples the effect of heat generation is investigated and both thermal softening and temperature-dependent thermal material parameters are considered. The constitutive model is formulated such that pure isotropic and pure kinematic hardening yield identical uniaxial mechanical response and mechanical dissipation. Thus, differences in response due to hardening during non-proportional loading can be studied. Thermally triggered necking is studied, as well as cyclic loading of Cook's membrane. The numerical examples are solved using the finite element method, and the coupled problem that arises is solved using a staggered method where an isothermal split is adopted.},
  author       = {Håkansson, Paul and Wallin, Mathias and Ristinmaa, Matti},
  issn         = {0749-6419},
  keyword      = {thermoplasticity,non-linear kinematic hardening,heat generation},
  language     = {eng},
  number       = {7},
  pages        = {1435--1460},
  publisher    = {Elsevier},
  series       = {International Journal of Plasticity},
  title        = {Comparison of isotropic hardening and kinematic hardening in thermoplasticity},
  url          = {http://dx.doi.org/10.1016/j.ijplas.2004.07.002},
  volume       = {21},
  year         = {2005},
}