Analytical and simulation investigation of the experimental design for infrared non destructive testing

We analyse heat conduction in a slab with imposed persistent oscillating temperature. Fourier series and periodic time varying solutions are derived by using separation of variables techniques. The analysis is aimed at assessing the limits of applicability of the simplified analytical model derived in [1] under the hypothesis of semi-infinite spatial domain. Such model allows for parameters predetermination in the design of experiments related with nondestructive tests for defects detection and failure prediction. The effect of the finite length of the specimen is investigated, therefore setting the foundation for experimental investigation of nondestructive damage detection with infrared active thermography with boundary effects accounted for.