Diffraction of flexural waves by cracks in orthotropic thin elastic plates. Part II. Far field analysis

Ian Thompson, I. David Abrahams

    Research output: Contribution to journalArticlepeer-review

    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 languageEnglish
    Pages (from-to)1615-1638
    Number of pages23
    JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
    Volume463
    Issue number2082
    DOIs
    Publication statusPublished - 8 Jun 2007

    Keywords

    • Anisotropic
    • Diffraction
    • Edge waves
    • Kirchhoff thin plate
    • Orthotropic
    • Scattering

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