Parameter identification and uncertainty quantification of the thermal conductivity tensor for transversely isotropic composite materials

Author:

Tröger Jendrik-Alexander1,Hartmann Stefan1

Affiliation:

1. Institute of Applied Mechanics Clausthal University of Technology Adolph-Roemer-Str. 2A 38678 Clausthal-Zellerfeld Germany

Abstract

AbstractThe identification of material parameters with a nonlinear least‐squares approach and finite elements is an established task in solid mechanics. There, full‐field experimental data can be employed in the material parameter identification procedure. The focus of this contribution is on the application of full‐field temperature data, measured with infrared thermography, to identify the coefficients of the thermal conductivity tensor of unidirectional fiber‐reinforced composites. Because of the unidirectional fiber reinforcement, transversely isotropic thermal behavior is assumed and the corresponding two thermal conductivities are identified from full‐field data. Beforehand performing the experiments, numerical re‐identifications are used to optimize the experimental procedure in a sensitivity analysis. Further, the uncertainties of the identified material parameters as well as the uncertainties of subsequent simulations are computed with the Gaussian error propagation concept.

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

Reference5 articles.

1. S. Hartmann and R. R. Gilbert Arch. Appl. Mech. 88 3–26 (2018).

2. J.-A. Tröger and S. Hartmann GAMM Mitt. 45 e202200013 (2022).

3. J. V. Beck and K. J. Arnold Parameter estimation in engineering and science (John Wiley & Sons New York 1977) pp. 481–487.

4. L. Rose Optimisation based parameter identification using optical field measurements (Dissertation Institut für Mechanik Technische Universität Dortmund Dortmund 2022) pp. 105–107.

5. J. R. Taylor An Introduction to Error Analysis. The Study of Uncertainties in Physical Measurements (University Science Books Sausalito California 1997) pp. 75–79.

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