Abstract
Ultrasonic inspection is a widely used method for determining the existence of defects in components. It relies on specular reflection and diffraction of elastic waves at crack faces and edges to locate and size possible defects. The redistribution of energy into a range of diffracted angles is a purely local phenomenon and is determined by the properties of the material at the crack tip and its shape. As all materials are naturally anisotropic, it is clearly necessary to understand how diffraction is modified by anisotropy. An understanding of the effects of anisotropy could therefore help to optimise inspection techniques and justify procedures for detecting and sizing crack-like defects. The quantity of interest is the diffraction coefficient, which relates the vector amplitude of a ray incident on a crack edge to the amplitudes of the diffracted rays.
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© 2002 Springer Science+Business Media Dordrecht
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Lewis, P.A. (2002). Factorisation of a Certain Wiener-Hopf Matrix Arising in Diffraction Theory. 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_25
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DOI: https://doi.org/10.1007/978-94-017-0087-0_25
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