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On the determination of thermal boundary conditions for parameter identifications of thermo-mechanically coupled material models

Rose, Lars and Menzel, Andreas LU (2022) In GAMM Mitteilungen 45(3-4).
Abstract

Identifiability and sensitivity of thermal boundary coefficients identified alongside thermal material parameters by means of full field measurements during a simple tension test are shown empirically using a simple tension test with self heating as a proof of concept. The identification is started for 10 different initial guesses, all of which converge toward the same optimum. The solution appears to be locally unique and parameters therefore independent, but a comparison against a reference solution indicates high correlation between three model parameters and the prescribed external temperatures required to model heat exchange with either air or clamping jaws. This sensitivity is further analyzed by rerunning the identification with... (More)

Identifiability and sensitivity of thermal boundary coefficients identified alongside thermal material parameters by means of full field measurements during a simple tension test are shown empirically using a simple tension test with self heating as a proof of concept. The identification is started for 10 different initial guesses, all of which converge toward the same optimum. The solution appears to be locally unique and parameters therefore independent, but a comparison against a reference solution indicates high correlation between three model parameters and the prescribed external temperatures required to model heat exchange with either air or clamping jaws. This sensitivity is further analyzed by rerunning the identification with different prescribed external temperatures and by comparing the obtained optimal parameter values. Although the model parameters are independent, optimal values for heat conduction and the heat transfer coefficients are highly correlated as well as sensitive with respect to a change, respectively, measurement error of the external temperatures. A precise fit on the basis of a simple tension test therefore requires precise measurements and a suitable material model which is able to accurately predict dissipated energy.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
conduction, convection, coupled problem, inverse problem
in
GAMM Mitteilungen
volume
45
issue
3-4
article number
e202200010
publisher
John Wiley & Sons Inc.
external identifiers
  • scopus:85130489321
ISSN
0936-7195
DOI
10.1002/gamm.202200010
language
English
LU publication?
yes
id
fedd837e-713e-4bfc-ba98-fa447a4cf0fe
date added to LUP
2022-12-27 14:26:00
date last changed
2022-12-27 14:26:00
@article{fedd837e-713e-4bfc-ba98-fa447a4cf0fe,
  abstract     = {{<p>Identifiability and sensitivity of thermal boundary coefficients identified alongside thermal material parameters by means of full field measurements during a simple tension test are shown empirically using a simple tension test with self heating as a proof of concept. The identification is started for 10 different initial guesses, all of which converge toward the same optimum. The solution appears to be locally unique and parameters therefore independent, but a comparison against a reference solution indicates high correlation between three model parameters and the prescribed external temperatures required to model heat exchange with either air or clamping jaws. This sensitivity is further analyzed by rerunning the identification with different prescribed external temperatures and by comparing the obtained optimal parameter values. Although the model parameters are independent, optimal values for heat conduction and the heat transfer coefficients are highly correlated as well as sensitive with respect to a change, respectively, measurement error of the external temperatures. A precise fit on the basis of a simple tension test therefore requires precise measurements and a suitable material model which is able to accurately predict dissipated energy.</p>}},
  author       = {{Rose, Lars and Menzel, Andreas}},
  issn         = {{0936-7195}},
  keywords     = {{conduction; convection; coupled problem; inverse problem}},
  language     = {{eng}},
  number       = {{3-4}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{GAMM Mitteilungen}},
  title        = {{On the determination of thermal boundary conditions for parameter identifications of thermo-mechanically coupled material models}},
  url          = {{http://dx.doi.org/10.1002/gamm.202200010}},
  doi          = {{10.1002/gamm.202200010}},
  volume       = {{45}},
  year         = {{2022}},
}