This work is aimed at characterizing internal flaws in cylindrical geometry using the Pulsed Phase Thermography (PPT). A preliminary experimental evaluation of the emissivity variations as well as of the out-of-focus effects due to non planar shape has been preliminary performed, then a procedure to compensate for these nonuniformities has been implemented and experimentally tested on a hollow emicylindrical Plexiglas pipe section with dummy holes. The defect depth retrieval method is based on a phasegram correlation analysis.
IntroductionSince the first paper of Maldague and Marinetti [1], Pulsed Phase Thermography (PPT) has been proved to be a powerful concept for the non destructive testing (NDT) of a wide range of materials. Despite this fact, many issues arise when this technique is used in specific applications, especially about the analysis and interpretation of thermographic sequence, or its Fourier transform. In particular, industrial pipelines are an important field of application of NDT techniques, and various specific studies on this subject can be found in the open literature [2][3][4].In this paper, some preliminary experiments have been carried out to evaluate how a variation of specimen orientation affects the test, taking into account directional emissivity, out-of-focus effects and uneven thermal excitation; then this knowledge is applied in a test of a hollow emicylindrical (half pipe) polymethylmethacrylate sample, analyzed with the depth retrieval procedure developed in our laboratory.
Pulse Phase ThermographyLet us suppose to heat a specimen with a thermal pulse generated by an external source, like a flash or a lamp, and then to collect a sequence of the temperature fields on the excited face by means of an IR-camera. If there is a defect inside the specimen, a hot spot will appear on the surface above that. The thermogram sequence may be analyzed as it is, i.e., as a temporal evolution of the temperatures, and the related processing procedures are called time domain techniques, or it may be Fourier-transformed commuting consequently from the temperature-time variables to the phase-frequency or amplitude-frequency variables, speaking in this case of frequency domain techniques. The PPT uses the couple of variables phase-frequency, and formally it can be summarized aswhere stands for the Fourier transform, ( ̅ , ) is the temperature distribution at the time t on the specimen surface that is thermally excited ( ̅ is the position vector), and ( ̅ , ) the phase distribution on the same surface at the frequency f. Because from a practical point of view the specimen surface temperature is known as a discrete function of ̅ and t, no matter whether experimentally measured or numerically calculated, the Fast Fourier Transform (FFT) algorithm is indeed used, and the discrete version of the PPT procedure can be conceptually schematized as in figure 1.
Fig. 1. Pulse Phase Thermography, conceptual scheme (adapted from [8]).The purpose of this operation is to emphasize the eventual presence of s...