Abstract
Dynamic thermal tomography is a technique that allows the display of “slices” of solids by analyzing the evolution of surface temperature as a function of time. This paper presents the principles of one-sided thermal tomography using reference points and also introduces a technique of thermal tomography that does not require the use of reference point. The diffusion nature of heat conduction in solids causes lateral diffusion, which modifies and complicates the heat flow that is needed to detect defects. In the case of anisotropic composite materials the heat will diffuse more readily in one direction than another. Lateral diffusion can make it difficult to detect (visualize) deep defects, especially those located under shallower ones. Artifacts can be reduced by thresholding timegrams but this may hide small defects. The effectiveness of thermal tomography in detecting impact damage (cracks/delaminations) in composites has been confirmed by numerous experiments.
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Pikalov, V.V., Melnikova, T.S.: Plasma Tomography. Nauka Publish., Novosibirsk (1995). (in Russian)
Akhmetov, V.D., Fateev, N.V.: Infrared tomography of the lifetime and diffusion length of charge carriers in semi-conductive silicon ingots. Phys. Tech. Semicond. 35(1), 40–47 (2001). (in Russian)
Martin, M., Dabat-Blondeaux, C., Unger, M., Sedlmair, J., Parkinson, D.Y., Bechtel, H.A., Illman, B., Castro, J.M., Keiluweit, M., Buschke, D., Ogle, B., Nasse, M.J., Hirschmugl, C.J.: 3D spectral imaging with synchrotron Fourier transform infrared spectro–microtomography. Nat. Methods 10, 861–864 (2013)
Barrett, A., Myers, P.S., Sadowsky, N.L.: Detection of breast cancer by microwave radiometer. Radio Sci. 12(68), 167–171 (1977)
Troyitski, V.S.: To the theory of contact radiothermometric measurement of inner body temperature. Izv. Vuzov Radiophys. Ser. 24(9), 1054–1058 (1981). (in Russian)
Pasechnik, V.E., Anosov, A.A., Barabanenkov, Yu.N.: Determining in-depth temperature in biological objects by passive acoustic thermotomography. In: Proceedings of Acoustics, Science Session, pp. 375–378. Nizhny Novgorod State University, Nizhny Novgorod (2002, in Russian)
Xu, Y., Wei, X., Wang, G.: Temperature-change-based thermal tomography. Int. J. Biomed. Imaging (2009). https://doi.org/10.1155/2009/464235
Rieke, V., Pauly, K.B.: MR thermometry. J. Magn. Reson. Imaging 27(2), 376–390 (2008)
Rosencwaig, A., Gersho, A.: Thermal-wave imaging. Science 218, 223–228 (1982)
Almond, D.P., Patel, P.: Photothermal Science and Techniques. Chapman and Hall, London (1996)
Mulaveesala, R., Tuli, S.: Theory of frequency modulated thermal wave imaging for nondestructive subsurface defect detection. Appl. Phys. Lett. 19(19), 191913 (2006)
Mandelis, A., Mieszkowski, M.: A thermal wave sub-surface defect imaging and tomography apparatus. U.S. Patent 4,950,897, 1990
Mandelis, A.: Theory of photothermal wave diffraction tomography via spatial Laplace spectral decomposition. J. Opt. Soc. Am. A6, 298 (1991)
Mandelis, A.: Theory of photothermal wave diffraction tomography via spatial Laplace spectral decomposition. J. Phys. A 24, 2485 (1991)
Munidasa, M., Mandelis, A., Ferguson, C.: Resolution of photothermal tomographic imaging of sub-surface defects in metals with ray-optic reconstruction. Appl. Phys. 54, 244 (1992)
Pade, O., Mandelis, A.: Computational thermal-wave tomography of aluminum with ray-optic reconstruction. Rev. Sci. Instrum. 64, 3548 (1993)
Kaiplavi, S., Mandelis, A., Wang, X., Feng, T.: Photothermal tomography for the functional and structural evaluation, and early mineral loss monitoring in bones. Biomed. Opt. Express 5(8), 2488–2502 (2014)
Kline, R.A., Winfree, W.P., Bakirov, V.F.: A new approach to thermal tomography. In: Thompson, D.O., Chimenti, D.E. (eds.) Review of Quantitative Nondestructive Evaluation, vol. 22, pp. 682–687 (2003)
Busse, G., Renk, F.: Stereoscopic depth analysis by thermal wave transmission for NDE. Appl. Phys. Lett. 42(4), 366–368 (1983)
Nowakowski, A., Kaczmarek, M.: Active dynamic thermography—problems of implementation in medical diagnostics. QIRT J. 8(1), 89–106 (2011)
Milovanović, B., Pečur, I.B.: Review of active IR thermography for detection and characterization of defects in reinforced concrete. J. Imaging 2(2), 11 (2011)
Vavilov, V.P., Shiryaev, V.V.: Thermal tomograph. U.S.S.R. Patent 1,266,308, 1984
Vavilov, V.P., Jin, H., Thomas, R., Favro, L.: Experimental thermal tomography of solids by using one-sided pulse heating. Defectoscopiya 12, 122–130 (1990). (in Russian)
Vavilov, V., Bison, P.G., Bressan, C., Grinzato, E.: Some new ideas in dynamic thermal tomography. In: Proceedings of Eurotherm Seminar #27 “Quant. Infrared Thermography-QIRT’92”, Chatenay-Malabry, France, 7–9 July, 1992, pp. 259–255
Storozhenko, V.A., Melnik, S.I., Orel, R.P.: A new algorithm of thermal tomography. Methods and instrumentation of quality inspection. No. 4, pp. 26–30 (1999, in Ukrainian)
Winfree, W.P., Plotnikov, Yu.: Defect characterization in composites using a thermal tomography algorithm. In: Thompson, R., Chimenti, D. (eds.) Review of Progress in Quantitative Nondestructive Evaluation, vol. 18, pp. 1343–1350. Kluwer Academic/Plenum Publishers, New York (1999)
Kush, D.V., Rapoport, D.A., Budadin, O.N.: Inverse problem of automated thermal testing. Defectoscopiya 5, 64–68 (1988). (in Russian)
Bakirov, V.F., Kline, R.A.: Diffusion-based thermal tomography. J. Heat Transf. 127, 1276–1279 (2005)
Hyvönen, N., Mustonen, L.: Thermal tomography with unknown boundary. arXiv:1611.06862v2 [math. NA]. (2017).
Toivanen, J.M., Kolehmainen, V., Tarvainen, T., Orlande, H.R.B., Kaipio, J.P.: Simultaneous estimation of spatially distributed thermal conductivity, heat capacity and surface heat transfer coefficient in thermal tomography. Int. J. Heat Mass Transf. 55, 7958–7968 (2012)
Toivanen, J.M., Tarvainen, T., Huttunen, J.M.J., Savolainen, T., Orlande, H.R.B., Kaipio, J.P., Kolehmainen, V.: 3D thermal tomography with experimental measurement data. Int. J. Heat Mass Transf. 78, 1126–1134 (2014)
Vavilov, V.P.: Modeling thermal NDT problems. Int. J. Heat Mass Transf. 72, 75–86 (2014)
Vavilov, V.P.: Modeling and characterizing impact damage in carbon fiber composites by thermal/infrared non-destructive testing. Composites B 61, 1–10 (2014)
Vavilov, V.P., Plesovskikh, A.V., Chulkov, A.O., Nesteruk, D.A.: A complex approach to the development of the method and equipment for thermal nondestructive testing of CFRP cylindrical parts. Composites B 68, 375–384 (2015)
Vavilov, V.P.: Thermal/infrared testing. In: Kluev, V.V. (ed.) Nondestructive Testing Handbook, pp. 1–485. Spektr Publisher, Moscow (2009)
Vavilov, V.P., Pawar, S.: Determining the lateral size of subsurface defects using active thermal nondestructive testing. Russ. J. NDT 52(9), 528–531 (2016)
Krapez, J.-C., Balageas, D.L.: Early detection of thermal contrast in pulsed stimulated infrared thermography. In: Proceedings of Quantitative Infrared Thermography QIRT-94, Eurotherm Seminar #42, Sorrento, Italy, 1994, pp. 260–266
Balageas, D.L., Krapez, J.-C., Cielo, P.: Pulsed photo-thermal modeling of layered materials. J. Appl. Phys. 59(2), 348–357 (1986)
Balageas, D.L., Deom, A.A., Boscher, D.M.: Characterisation and NDT of carbon epoxy composites by a pulsed photothermal method. Mater. Eval. 45(4), 461–465 (1987)
Shepard, S.M., Hou, Y., Ahmed, T., Lhota, J.R.: Reference-free analysis of flash thermography data. In: Proceedings of SPIE “Thermosense-XXVIII”, vol. 6205, 2006, p. 620513
Shepard, S.M., Lhota, J.R., Rubadeux, B.A., Wang, D., Ahmed, T.: Reconstruction and enhancement of active thermographic image sequences. Opt. Eng. 42(5), 1337–1342 (2003)
Sun, J.G.: Method for thermal tomography of thermal effusivity from pulsed thermal imaging. US Patent 7,365,330, 2006
Sun, J.G.: Method for implementing depth deconvolution algorithm for enhanced thermal tomography 3D imaging. U.S. Patent 8,465,200, 2013
Sun, J.G.: Quantitative three-dimensional imaging of heterogeneous materials by thermal tomography. J. Heat Transf. 138, 112004-1–112004-10 (2016)
Three-Dimensional Thermal Tomography (3DTT) Advances Cancer Treatment. US Dept. of Energy, Argonne National Lab, USA, September 2012
Harris, A.W., Drube, L.: Thermal tomography of asteroid surface structure. Astrophys. J. (2016). https://doi.org/10.3847/0004-637X/832/2/127
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This study was supported by the Russian Scientific Foundation Grant #17-19-01047 (numerical modeling) and in part by Tomsk Polytechnic University Competitiveness Enhancement Program Grant (experimentation).
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Vavilov, V.P., Kuimova, M.V. Dynamic Thermal Tomography of Composites: A Comparison of Reference and Reference-Free Approaches. J Nondestruct Eval 38, 2 (2019). https://doi.org/10.1007/s10921-018-0540-y
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DOI: https://doi.org/10.1007/s10921-018-0540-y