Abstract
The scattered field arising from diffraction of a plane flexural wave by a semi-infinite crack in an orthotropic Kirchhoff thin plate is analysed. The crack is aligned with a principal direction of the material, so that two of the plate's three planes of symmetry are preserved. An asymptotic approximation is derived via the method of steepest descents, and explicit expressions are given for the most significant contributions. The effects of anisotropy upon the scattered field are made clear, and numerical results are presented for several typical engineering materials. © 2007 The Royal Society.
Original language | English |
---|---|
Pages (from-to) | 1615-1638 |
Number of pages | 23 |
Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 463 |
Issue number | 2082 |
DOIs | |
Publication status | Published - 8 Jun 2007 |
Keywords
- Anisotropic
- Diffraction
- Edge waves
- Kirchhoff thin plate
- Orthotropic
- Scattering