Index Terms-Non destructive testing; Fault diagnosis; Experiment design; Parameters predetermination; Modeling & simulation.Abstract-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.
-The inverse heat conduction in a multi-material slab with periodic temperature excitation is investigated. We derive a polynomial relation to estimate the frequency of the periodic excitation as a function of the temperature amplitude at a given observation point in the material specimen. The formula includes characteristic geometric and material parameters of the system. The polynomial formula can be an effective design tool for quick frequency predetermination in the design of non-destructive testing experiments with infrared thermography. The convergence and accuracy of the formula are assessed by comparison with analytical thermal quadrupoles solution.
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