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A thermo-viscoplasticity model for metals over wide temperature ranges- application to case hardening steel

Oppermann, Philip LU orcid ; Denzer, Ralf LU and Menzel, Andreas LU (2022) In Computational Mechanics 69(2). p.541-563
Abstract

In this contribution, a model for the thermomechanically coupled behaviour of case hardening steel is introduced with application to 16MnCr5 (1.7131). The model is based on a decomposition of the free energy into a thermo-elastic and a plastic part. Associated viscoplasticity, in terms of a temperature-depenent Perzyna-type power law, in combination with an isotropic von Mises yield function takes respect for strain-rate dependency of the yield stress. The model covers additional temperature-related effects, like temperature-dependent elastic moduli, coefficient of thermal expansion, heat capacity, heat conductivity, yield stress and cold work hardening. The formulation fulfils the second law of thermodynamics in the form of the... (More)

In this contribution, a model for the thermomechanically coupled behaviour of case hardening steel is introduced with application to 16MnCr5 (1.7131). The model is based on a decomposition of the free energy into a thermo-elastic and a plastic part. Associated viscoplasticity, in terms of a temperature-depenent Perzyna-type power law, in combination with an isotropic von Mises yield function takes respect for strain-rate dependency of the yield stress. The model covers additional temperature-related effects, like temperature-dependent elastic moduli, coefficient of thermal expansion, heat capacity, heat conductivity, yield stress and cold work hardening. The formulation fulfils the second law of thermodynamics in the form of the Clausius–Duhem inequality by exploiting the Coleman–Noll procedure. The introduced model parameters are fitted against experimental data. An implementation into a fully coupled finite element model is provided and representative numerical examples are presented showing aspects of the localisation and regularisation behaviour of the proposed model.

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Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
AceGen, Finite element method, Thermomechanical coupling, Thermoplasticity, Thermoviscoplasticity
in
Computational Mechanics
volume
69
issue
2
pages
541 - 563
publisher
Springer
external identifiers
  • scopus:85120375974
ISSN
0178-7675
DOI
10.1007/s00466-021-02103-4
language
English
LU publication?
yes
id
45c9beb5-6035-4e7b-a079-d8eb1a7e2257
date added to LUP
2021-12-15 14:45:45
date last changed
2022-06-30 08:40:35
@article{45c9beb5-6035-4e7b-a079-d8eb1a7e2257,
  abstract     = {{<p>In this contribution, a model for the thermomechanically coupled behaviour of case hardening steel is introduced with application to 16MnCr5 (1.7131). The model is based on a decomposition of the free energy into a thermo-elastic and a plastic part. Associated viscoplasticity, in terms of a temperature-depenent Perzyna-type power law, in combination with an isotropic von Mises yield function takes respect for strain-rate dependency of the yield stress. The model covers additional temperature-related effects, like temperature-dependent elastic moduli, coefficient of thermal expansion, heat capacity, heat conductivity, yield stress and cold work hardening. The formulation fulfils the second law of thermodynamics in the form of the Clausius–Duhem inequality by exploiting the Coleman–Noll procedure. The introduced model parameters are fitted against experimental data. An implementation into a fully coupled finite element model is provided and representative numerical examples are presented showing aspects of the localisation and regularisation behaviour of the proposed model.</p>}},
  author       = {{Oppermann, Philip and Denzer, Ralf and Menzel, Andreas}},
  issn         = {{0178-7675}},
  keywords     = {{AceGen; Finite element method; Thermomechanical coupling; Thermoplasticity; Thermoviscoplasticity}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{541--563}},
  publisher    = {{Springer}},
  series       = {{Computational Mechanics}},
  title        = {{A thermo-viscoplasticity model for metals over wide temperature ranges- application to case hardening steel}},
  url          = {{http://dx.doi.org/10.1007/s00466-021-02103-4}},
  doi          = {{10.1007/s00466-021-02103-4}},
  volume       = {{69}},
  year         = {{2022}},
}