Identification of the thermal conductivity tensor for transversely isotropic materials

The knowledge of the thermal conductivities is particular interest for thermo-mechanical modeling transversely isotropic composite materials. Hence, identification these material parameters by solving an inverse problem significant, as they cannot be directly measured. In this study, a suitable experimental setup presented, where infrared thermography used to measure surface temperatures thin specimens. Further, local identifiability concept employed study whether locally unique can obtained. This leads step-wise concept. parameter performed applying nonlinear least-square approach and finite elements. process convection coefficient required first, and, subsequently, coefficients conductivity tensor are determined. Due identification, uncertainties previously identified have considered in subsequent steps. resulting estimated using Gaussian error propagation It turns out that materials generally identifiable from temperature data. Furthermore, since all essential influence on results real numerical simulations, their should boundary-value problems. Thus, uncertainty quantification demonstrated validation experiment.