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Journal of Nondestructive Evaluation

, Volume 25, Issue 4, pp 155–164 | Cite as

Wave Scattering from a Slightly Wavy Interface Between two Anisotropic Media

  • Tatiana Krasnova
  • Per-Åke Jansson
Article

Abstract

Wave scattcring from a periodic interface separating two anisotropic layers in a thick elastic plate is studied in the two-dimensional case. The problem is solved by replacing the exact boundary conditions, i.e. continuous displacement and traction on the wavy interface, by approximate first order conditions on a flat reference surface. Numerical results are presented for a number of cases and compared to the exact solution obtained by the null field approach. The conclusion is that the approximate method gives reasonably accurate results as long as the slope of the surface is small and the amplitude of the wavy surface is not too large compared to the wavelength of the incident wave.

Keywords

Nondestructive testing ultrasonics cladding anisotropy approximate boundary conditions 

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References

  1. 1.
    R. J. Hudgell, Handbook on the Ultrasonic Examination of Austenitic Clad Components (The International Institute of Welding and Joint Research Centre, European Commission, Luxembourg, 1994).Google Scholar
  2. 2.
    T. Krasnova, P.-Å. Jansson, and A. Boström, Ultrasonic wave propagation in an anisotropic cladding with a wavy interface, Wave Motion 41, pp. 163–177 (2005).MathSciNetCrossRefGoogle Scholar
  3. 3.
    P.-Å. Jansson and T. Krasnova, Wave scattering from a wavy interface between two anisotropic media, in Proceedings of the 2004 International Conference on Computational & Experimental Engineering & Sciences, edited by S. N. Atluri and A. J. B. Tadeu (Tech Science Press, Forsyth, GA, 2004), pp. 2210–2215.Google Scholar
  4. 4.
    J. T. Fokkema, Reflection and transmission of elastic waves by the spatially periodic interface between two solids (theory of the integral-equation method), Wave Motion 2, pp. 375–393 (1980).zbMATHCrossRefGoogle Scholar
  5. 5.
    A. Boström, Surface waves on the periodic boundary of an elastic half-space, Appl. Sci. Res. 39, pp. 129–182 (1982).zbMATHCrossRefGoogle Scholar
  6. 6.
    R. Roberts, J. D. Achenbach, R. Ko, L. Adler, A. Jungman, and G. Quentin, Reflection of a beam of elastic waves by a periodic surface profile, Wave Motion 7, pp. 67–77 (1985).CrossRefGoogle Scholar
  7. 7.
    A. J. Niklasson, Ultrasonic three-dimensional probe modeling in anisotropic solids, J. Acoust. Soc. Am. 103, pp. 2432–2442 (1998).CrossRefGoogle Scholar
  8. 8.
    P. M. van den Berg and J. T. Fokkema, The Rayleigh hypothesis in the theory of reflection by a grating, J. Opt. Soc. Am. 69, pp. 27–31 (1979).Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  • Tatiana Krasnova
    • 1
  • Per-Åke Jansson
    • 1
  1. 1.Department of Applied MechanicsChalmers University of TechnologyGöteborgSweden

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