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Identification of thermal material parameters for thermo-mechanically coupled material models : Verification and model dependency

Rose, L. and Menzel, A. LU (2021) In Meccanica 56(2). p.393-416
Abstract

The possibility of accurately identifying thermal material parameters on the basis of a simple tension test is presented, using a parameter identification framework for thermo-mechanically coupled material models on the basis of full field displacement and temperature field measurements. Main objective is to show the impact of the material model formulation on the results of such an identification with respect to accuracy and uniqueness of the result. To do so, and as a proof of concept, the data of two different experiments is used. One experiment including cooling of the specimen, due to ambient temperature, and one without specimen cooling. The main constitutive relations of two basic material models are summarised (associated and... (More)

The possibility of accurately identifying thermal material parameters on the basis of a simple tension test is presented, using a parameter identification framework for thermo-mechanically coupled material models on the basis of full field displacement and temperature field measurements. Main objective is to show the impact of the material model formulation on the results of such an identification with respect to accuracy and uniqueness of the result. To do so, and as a proof of concept, the data of two different experiments is used. One experiment including cooling of the specimen, due to ambient temperature, and one without specimen cooling. The main constitutive relations of two basic material models are summarised (associated and non-associated plasticity), whereas both models are extended so as to introduce an additional material parameter for the thermodynamically consistent scaling of dissipated energy. The chosen models are subjected to two parameter identifications each, using the data of either experiment and focusing on the determination of thermal material parameters. The influence of the predicted dissipated energy of the models on the identification process is investigated showing that a specific material model formulation must be chosen carefully. The material model with associated evolution equations used within this work does neither allow a unique identification result, nor is any of the solutions for the underlying material parameters close to literature values. In contrast to that, a stable, that is locally unique, re-identification of the literature values is possible for the boundary problem at hand if the model with non-associated evolution equation is used and if cooling is included in the experimental data.

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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Displacement field, Dissipation, Model dependency, Parameter identification, Temperature field, Thermo-mechanically coupled problem
in
Meccanica
volume
56
issue
2
pages
393 - 416
publisher
Springer
external identifiers
  • scopus:85100176530
ISSN
0025-6455
DOI
10.1007/s11012-020-01267-2
language
English
LU publication?
yes
id
beee0b39-8121-4533-9d8b-3e079819ea0d
date added to LUP
2021-02-12 12:44:09
date last changed
2022-04-27 00:11:53
@article{beee0b39-8121-4533-9d8b-3e079819ea0d,
  abstract     = {{<p>The possibility of accurately identifying thermal material parameters on the basis of a simple tension test is presented, using a parameter identification framework for thermo-mechanically coupled material models on the basis of full field displacement and temperature field measurements. Main objective is to show the impact of the material model formulation on the results of such an identification with respect to accuracy and uniqueness of the result. To do so, and as a proof of concept, the data of two different experiments is used. One experiment including cooling of the specimen, due to ambient temperature, and one without specimen cooling. The main constitutive relations of two basic material models are summarised (associated and non-associated plasticity), whereas both models are extended so as to introduce an additional material parameter for the thermodynamically consistent scaling of dissipated energy. The chosen models are subjected to two parameter identifications each, using the data of either experiment and focusing on the determination of thermal material parameters. The influence of the predicted dissipated energy of the models on the identification process is investigated showing that a specific material model formulation must be chosen carefully. The material model with associated evolution equations used within this work does neither allow a unique identification result, nor is any of the solutions for the underlying material parameters close to literature values. In contrast to that, a stable, that is locally unique, re-identification of the literature values is possible for the boundary problem at hand if the model with non-associated evolution equation is used and if cooling is included in the experimental data.</p>}},
  author       = {{Rose, L. and Menzel, A.}},
  issn         = {{0025-6455}},
  keywords     = {{Displacement field; Dissipation; Model dependency; Parameter identification; Temperature field; Thermo-mechanically coupled problem}},
  language     = {{eng}},
  month        = {{01}},
  number       = {{2}},
  pages        = {{393--416}},
  publisher    = {{Springer}},
  series       = {{Meccanica}},
  title        = {{Identification of thermal material parameters for thermo-mechanically coupled material models : Verification and model dependency}},
  url          = {{http://dx.doi.org/10.1007/s11012-020-01267-2}},
  doi          = {{10.1007/s11012-020-01267-2}},
  volume       = {{56}},
  year         = {{2021}},
}