On Use of Slots in Modelling Cracks in Ultrasonic Testing
Source abstract
Abstract
Abstract The possibility of a rigorous theoretical solution of the three-dimensional problem of scattering of elastic waves at the tip of a vertical crack in a weld is analyzed. It is shown that in the general case of ultrasound scattering on a flat target, the three-dimensional problem can be reduced to a two-dimensional one. On this basis, for an arbitrary direction of sounding a crack in a weld, the dependence of the signal from the crack tip on the direction to the receiver was assessed. It is noted that the wave size of the crack tip is much smaller than the wave size of the end of the grooves that can be made to simulate defects in welded joints. As a result, it was found that the nature of the scattering of elastic waves by the tip of the crack differs from the nature of scattering on the grooves, including in cases where the opening of the grooves is minimal, based on the possibility of their manufacture. The results of an experimental verification of the obtained theoretical estimates on samples of steel and aluminum are presented. It is shown that at the ends of the grooves (in contrast to the crack tips), even with their minimal openings, conditions are created for the formation of a scattered field of the type of specular reflection from a volumetric cavity—a side-drilled hole.
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Research context
OpenAlex topics: Ultrasonics and Acoustic Wave Propagation · Geophysical Methods and Applications · Non-Destructive Testing Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (19)
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1. Gurvich, A.K. and Ermolov, I.N., Ul’trazvukovoi kontrol’ svarnykh shvov (Ultrasonic Testing of Welds), Kyiv: Tekhnika, 1972.
2. Ginzel, E., Ultrasonic Time of Flight Diffraction, Waterloo: Eclipse Sci., 2013.
3. ISO 10863. Technical specification welding—the use of Time-of-Flight-Diffraction Technique (TOFD) for testing of welds, 2020.
4. Aleshin, N.P., Krys’ko, N.V., Shchipakov, N.A., and Mogil’ner, L.Yu., Optimization of the parameters of mechanized ultrasonic testing of extended welds, Nauka Tekhnol. Truboprovodn. Transp. Nefti Nefteprod., 2020, vol. 10, no. 6, pp. 352–363.10.28999/2541-9595-2020-10-4-352-363 ↗
5. Georgiou, G.A., Blakemore, M., Chapman, R.K., and Firth, D., The application of the geometrical theory of diffraction to modeling pulsed ultrasonic inspection: a system model, Br. J. NDT, 1989, vol. 31, no. 10, pp. 551–561.
6. Charlesworth, J.P. and Temple, J.A.G., Engineering Applications of Ultrasonic Time-of-Flight Diffraction, Hertfordshire: Research Studies Press, 2001, 2nd ed.
7. Aleshin, N.P., Krys’ko, N.V., Kozlov, D.M., and Kusy, A.G., Experimental study of diffraction of elastic waves on crack model, Russ. J. Nondestr. Test., 2021, vol. 57, no. 1, pp. 13–20.10.1134/S1061830921010022 ↗
8. Miklowitz, J., The Theory of Elastic Waves and Waveguides, Amsterdam: North-Holland, 2012.
9. Danilov, V.N., On the calculation of characteristics of echo signals of transverse and longitudinal waves from reflectors with flat surfaces, Russ. J. Nondestr. Test., 2010, vol. 46, no. 1, pp. 26–41.10.1134/S1061830910010055 ↗
10. Aleshin, N.P., Kirillov, A.A., Mogil’ner, L.Yu., and Savelova, E.P., General solution of the problem of scattering of elastic waves on a plane crack, Dokl. Ross. Akad. Nauk, 2021, vol. 499, pp. 58–65.
11. Guz’, A.N., Kubenko, V.D., and Cherevko, M.A., Difraktsiya uprugikh voln (Diffraction of Elastic Waves), Kyiv: Naukova Dumka, 1978.10.1007/BF00883678 ↗
12. Poruchikov, V.B., Metody dinamicheskoi teorii uprugosti (Methods of Dynamic Theory of Elasticity), Moscow: Nauka, 1986.
13. Aleshin, N.P., Kamenskii, V.S., Kamenskii, D.V., and Mogil’ner, L.Yu., Diffraction of an elastic wave on a stress-free disk, Dokl. Akad. Nauk SSSR, 1988, vol. 302, no. 4, pp. 777–780.
14. Martin, P.A. and Wickham, G.R., Diffraction of elastic waves by a penny-shaped crack: Analytical and numerical results, Proc. R. Soc. London, Ser. A, 1983, vol. 390, no. 1798, pp. 91–129.10.1098/rspa.1983.0124 ↗
15. Noble, B., Methods Based on the Wiener–Hopf Technique for the Solution of Partial Differential Equations, Providence: Am. Math. Soc., 1958.
16. Achenbach, J.D., Gautesen, A.K., McMacken, H., and Norris, A.N., Ray Methods for Waves in Elastic Solids, London: Pitman, 1982.
17. Brekhovskikh, L.M. and Godin, O.A., Akustika sloistykh sred (Acoustics of Layered Media), Moscow: Nauka, 1989.10.1007/978-3-642-52369-4 ↗
18. Djakou, A.K., Darmon, M., Fradkin, L., and Potel, C., The uniform geometrical theory of diffraction for elastodynamics: Plane wave scattering from a half-plane, J. Acoust. Soc. Am., 2015, vol. 138, no. 5, pp. 3272–3281.10.1121/1.4935020 ↗
19. Aleshin, N.P., Lezhava, A.G., and Mogil’ner, L.Yu., The study of the diffraction of an elastic wave on channel defects and recommendations for improving their detection, Defektoskopiya, 1986, no. 11, pp. 3–10.