Abstract
The problem of flexural wave diffraction by a semi-infinite crack in an infinite orthotropic thin plate is considered. Such models have application to the ultrasonic non-destructive inspection of thin components, such as aeroplane wings. For simplicity, the plate is modelled using Kirchhoff theory, and the crack is chosen to be aligned along one of the principal directions of material orthotropy. For incident plane waves, an exact analytical expression for the scattered field is derived by means of the Wiener-Hopf technique. In this model problem, the Wiener-Hopf kernel is scalar and its factorization is expressed in terms of simple, definite, non-singular contour integrals. A detailed numerical evaluation of the solution will be provided in the second part of this work. © 2005 The Royal Society.
Original language | English |
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Pages (from-to) | 3413-3436 |
Number of pages | 23 |
Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 461 |
Issue number | 2063 |
DOIs | |
Publication status | Published - 8 Nov 2005 |
Keywords
- Crack
- Diffraction
- Orthotropic plate
- Scattering
- Thin elastic plate
- Wiener-Hopf technique