Abstract
Many cracks of practical interest in ultrasonic non-destructive testing (NDT) are surface-breaking (Fig. 1). In order to model inspection of such cracks with the geometrical theory of diffraction (GTD), the diffraction coefficients for surface corners need to be calculated. The corresponding canonical problem is that of the diffraction of a plane wave by the vertex of an elastic wedge of less than 180°.
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References
Sommerfeld, A (1896) Mathematische Theorie der Diffraction, Math. Ann. 47, 317–374.
Malyuzhinetz, G D (1955) Radiation of sound by oscillating faces of an arbitrary wedge, Sov. Phys. Acoust. 1, 152–174; 240–268.
Malyuzhinets, G D (1957) Inversion formula for the Sommerfeld integral, Sov. Phys. Dokl. 3, 52–56.
Malyuzhinets, G D (1958) Excitation, reflection and emission of surface waves from a wedge with given f ace impedances, Sov. Phys. Dokl. 3, 752–755.
Budaev, B V (1995) Diffraction by Wedges, Pitman Research Notes in Mathematics series 322, Harlow: Longman Scientific and Technical.
Budaev, B V and Bogy, D B (1995) Rayleigh wave scattering by a wedge, Wave Motion 22, 239–257; 24, 307–314.
Budaev, B V and Bogy, D B (1998) Rayleigh wave scattering by two adhering elastic wedges, Proc. Roy. Soc. Lond. A 454, 2949–2996.
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Babich, V.M., Borovikov, V.A., Fradkin, L.J., Gridin, D., Kamotski, V., Smyshlyaev, V.P. (2002). Diffraction Coefficients for Tilted Surface-Breaking Cracks. In: Abrahams, I.D., Martin, P.A., Simon, M.J. (eds) IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity. Fluid Mechanics and Its Applications, vol 68. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0087-0_23
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DOI: https://doi.org/10.1007/978-94-017-0087-0_23
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