Identification of the Defect in the Elastic Layer by Sounding of the Normal Sh-Wave

: pp. 132 - 136
Karpenko Physico-Mechanical Institute of the NAS of Ukraine
Karpenko Physico-Mechanical Institute of the NAS of Ukraine
Karpenko Physico-Mechanical Institute of the NAS of Ukraine
Karpenko Physico-Mechanical Institute of the NAS of Ukraine

The Fourier integral transform has been used to reduce the diffraction problem of the normal SH-wave on a semi- infinite rigid inclusion in the elastic layer to the Wiener-Hopf equation. Its solution is obtained by the factorization method. The analytical expressions of the diffracted displacement fields have been represented in any region of interest. The dependences of the scattered field on the parameters of the structure have

The purpose of this paper is to model the displacement field on the layer’s surfaces with an internal defect for its further identification. For this purpose, the problem of SH-wave diffraction from the defect located in the elastic layer is solved. The defect is modelled by the rigid semi- infinite inclusion of zero thickness. Time factor is assumed to been given. The properties of identification of the inclusion type defect in the plane layer have been illustrated.

[1] Z. Nazarchuk, L. Muravsky, D. Kuryliak, "To the problem of the subsurface defects detection: theory and experiment," Procedia Structural Integrity. vol.16, pp. 11-18, 2019, doi: 10.1016/j.prostr.2019.07.016.

[2] B. P. Thomas, P. S. Annamala, and C. S. Narayanamurthy, "Investigation of vibration excitation of debonded sandwich structures using time-average digital holography," Applied Optics, vol. 56, pp. F7-F1, 2017.

[3] P. Fomitchov, L.-S. Wang, and S. Krishnaswamy, "Advanced image-processing techniques for automatic nondestructive evaluation of adhesively-bonded structures using speckle interferometry," Journal of Nondestructive Evaluation, vol. 16, pp. 215-227, 1997.

[4] B. F. Pouet, S. Krishnaswamy, "Synchronized reference updating technique for electronic speckle interferometry," Journal of Nondestructive Evaluation, vol. 12, pp. 133-138, 1993.

[5] B.F. Pouet, S. Krishnaswamy, "Additive-subtractive phase- modulated electronic speckle interferometry: analysis of fringe visibility," Applied Optics, vol. 33, pp. 6609-6616, 1994.

[6] E. Stoykova, N. Berberova, Y. Kim, D. Nazarova, B. Ivanov, A. Gotchev, J. Hong, and H. Kang, "Dynamic speckle analysis with smoothed intensity-based activity maps," Optica and Lasers in Engineering, vol. 93, pp. 55-65, 2017.

[7] M. V. Voytko, M. M. Kutlyk, and D. B. Kuryliak, "The resonant scattering of SH-waves by a finite crack in an elastic layer," Journal of Taras Shevchenko University of Kyiv, Special issue, Series: of Physical and Mathematical Sciences, pp. 51-54, 2015.

[8] Z. T. Nazarchuk, D. B. Kuryliak, M. V. Voytko, and Ya. P. Kulynych, "On the interaction of an elastic SH-wave with an interface crack in the perfectly rigid joint of a plate with a half-space," J. Math. Sci., vol. 192, no. 6, pp.609-623, Aug. 2013.

[9] D. B. Kurylyak, Z. T. Nazarchuk, and M. V. Voitko "Analysis of the field of a plane SH-wave scattered by a finite crack on the interface of materials," Materials Science, vol. 42, no. 6, pp. 7111724, 2006.

[10] S. I. Rokhlin, "Resonance phenomena of Lamb waves scattering by a finite crack in a solid layer," J. Acoust. Soc. Am., vol.69, no4, pp. 922-928, 1981.

[11] M. V. Voytko, Ya. P. Kulynych, and D. B. Kuryliak, "Resonant scattering of the SH-wave by the interface impedance defect in an elastic layer," in Proc. of 16th Int. Conf. on Mathematical Methods in Electromagnetic Theory (MMET-2016). Lviv, Ukraine, 2016, pp. 2641267.

[12] M. Ya. Semkiv, H. M. Zrazhevskyi, and V. T. Matsypura, "Diffraction of normal SH-waves in a waveguide with a crack," Acoustic Journal, vol. 14, no. 2, pp. 57-69, 2011.

[13] R. Mittra, S. W. Lee, "Analytical Techniques in the Theory of Guided Waves," New York: Macmillan, 1971.

[14] B. Noble, "Methods based on the Wiener-Hopf technique for the solution of partial differential equations," Belfast, Northern Ireland: Pergamon Press, 1958.