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

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.