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Passive thermography has been shown to be an effective method for in situ and real time nondestructive evaluation (NDE) to measure damage growth in a composite structure during cyclic loading. The heat generation by subsurface flaw results in a measurable thermal profile at the surface. This paper models the heat generation as a planar subsurface source and calculates the resultant temperature profile at the surface using a three dimensional quadrupole. The results of the model are compared to finite difference simulations of the same planar sources.
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William P. Winfree, Joseph N. Zalameda, Elizabeth D. Gregory, "Application of the quadrupole method for simulation of passive thermography," Proc. SPIE 10214, Thermosense: Thermal Infrared Applications XXXIX, 102140Y (5 May 2017); https://doi.org/10.1117/12.2264946