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Optimisation based material parameter identification using full field displacement and temperature measurements

Rose, Lars and Menzel, Andreas LU (2020) In Mechanics of Materials 145.
Abstract

A material parameter identification is presented for a fully thermo-mechanically coupled material model based on full field displacement and temperature measurements. The basic theory of the inverse problem is recapitulated, focusing on the choice of the objective function, proposing a new formulation, and explaining in detail the necessary numerical treatment of experimental data during the pre-processing of an identification. This includes the handling of the intrinsically different data sets of displacement (Lagrangian type) and temperature (Eulerian type). Experimental data is obtained by means of a Digital-Image-Correlation (DIC) as well as by a thermography system and three algorithmic boxes are provided for the necessary... (More)

A material parameter identification is presented for a fully thermo-mechanically coupled material model based on full field displacement and temperature measurements. The basic theory of the inverse problem is recapitulated, focusing on the choice of the objective function, proposing a new formulation, and explaining in detail the necessary numerical treatment of experimental data during the pre-processing of an identification. This includes the handling of the intrinsically different data sets of displacement (Lagrangian type) and temperature (Eulerian type). Experimental data is obtained by means of a Digital-Image-Correlation (DIC) as well as by a thermography system and three algorithmic boxes are provided for the necessary pre-processing. The experimental setup is discussed, measured data presented and analysed. From this setup, a successive approach to the identification process is motivated. Based on the experimental observations, a thermo-mechanically coupled material model is chosen, the required constitutive relations summarised and the material parameters interpreted. For the fixed choice of model and experiments, the inverse problem is solved. A very good fit was obtained for both the displacement and the temperature field. Results are interpreted and remaining errors discussed.

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type
Contribution to journal
publication status
published
subject
keywords
Coupled problem, Displacement field, Inverse problem, Parameter identification, Temperature field
in
Mechanics of Materials
volume
145
article number
103292
publisher
Elsevier
external identifiers
  • scopus:85082686665
ISSN
0167-6636
DOI
10.1016/j.mechmat.2019.103292
language
English
LU publication?
yes
id
b1dfc1a5-7541-43f2-a55b-a4778bafa413
date added to LUP
2020-04-15 16:48:49
date last changed
2022-04-18 21:40:31
@article{b1dfc1a5-7541-43f2-a55b-a4778bafa413,
  abstract     = {{<p>A material parameter identification is presented for a fully thermo-mechanically coupled material model based on full field displacement and temperature measurements. The basic theory of the inverse problem is recapitulated, focusing on the choice of the objective function, proposing a new formulation, and explaining in detail the necessary numerical treatment of experimental data during the pre-processing of an identification. This includes the handling of the intrinsically different data sets of displacement (Lagrangian type) and temperature (Eulerian type). Experimental data is obtained by means of a Digital-Image-Correlation (DIC) as well as by a thermography system and three algorithmic boxes are provided for the necessary pre-processing. The experimental setup is discussed, measured data presented and analysed. From this setup, a successive approach to the identification process is motivated. Based on the experimental observations, a thermo-mechanically coupled material model is chosen, the required constitutive relations summarised and the material parameters interpreted. For the fixed choice of model and experiments, the inverse problem is solved. A very good fit was obtained for both the displacement and the temperature field. Results are interpreted and remaining errors discussed.</p>}},
  author       = {{Rose, Lars and Menzel, Andreas}},
  issn         = {{0167-6636}},
  keywords     = {{Coupled problem; Displacement field; Inverse problem; Parameter identification; Temperature field}},
  language     = {{eng}},
  publisher    = {{Elsevier}},
  series       = {{Mechanics of Materials}},
  title        = {{Optimisation based material parameter identification using full field displacement and temperature measurements}},
  url          = {{http://dx.doi.org/10.1016/j.mechmat.2019.103292}},
  doi          = {{10.1016/j.mechmat.2019.103292}},
  volume       = {{145}},
  year         = {{2020}},
}