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Diffraction of flexural waves by cracks in orthotropic thin plates. Part II: far field analysis

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preprint
posted on 23.01.2007, 11:14 authored by Ian Thompson, I. David Abrahams
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 typical engineering materials.

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School

  • Science

Department

  • Mathematical Sciences

Pages

574806 bytes

Publication date

2007

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This is a pre-print.

Language

en