# Diffraction by a Two-Dimensional Traction-Free Elastic Wedge

Title | Diffraction by a Two-Dimensional Traction-Free Elastic Wedge |

Publication Type | Journal Article |

Year of Publication | 2010 |

Authors | Gautesen AK, Fradkin LJ |

Journal Title | SIAM Journal on Applied Mathematics |

Volume | 70 |

Pages | 3065-3085 |

Date Published | 10 |

ISBN Number | 0036-1399 |

Accession Number | ISI:000285548900013 |

Keywords | angle, diffraction, elastic wedge, fourier transform, quarter space, rayleigh-wave scattering, semianalytical approach, sommerfeld integral |

Abstract | This paper addresses the canonical two-dimensional problem of diffraction of the elastic plane wave by a traction-free straight-edged wedge made of an isotropic solid. Its solution can be used in applications to model diffraction from curved surface-breaking cracks with a curvature that is small compared to a wavelength. We use the Fourier transform to obtain a semianalytical solution, conduct internal checks, crossvalidate the code based on this scheme with the one based on the Sommerfeld integral, and describe experimental validation of the codes. Finally, we draw attention to high sensitivity of the backscatter diffraction coefficients to the Poisson ratio. |

URL | <Go to ISI>://000285548900013http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=SMJMAP000070000008003065000001&idtype=cvips&prog=normal |

DOI | 10.1137/080740684 |

Alternate Journal | Siam J Appl Math |