## Abstract

The inverse problem of determining the size, shape and orientation of a flat crack from high-frequency far-field elastic waves scattered by the crack is investigated. The results show that desired information on a crack can be obtained from the first arriving scattered longitudinal waves only. It is shown that an approximate high-frequency solution to the direct problem, based on physical elastodynamics, yields an expression for the scattered far-field of longitudinal motion which suggests a solution to the inverse problem by application of Fourier-type inversion integrals to scattering data. Two kinds of inversion integrals are examined. The inversion problem becomes relatively simple if some a-priori information is available, either on the orientation of the plane of the crack or on a plane of symmetry. The method of inversion is verified for a flat crack of elliptical shape. Some computational technicalities are discussed, and the method is also applied to experimental scattering data.

Original language | English (US) |
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Pages (from-to) | 299-316 |

Number of pages | 18 |

Journal | Wave Motion |

Volume | 1 |

Issue number | 4 |

DOIs | |

State | Published - Oct 1979 |

## ASJC Scopus subject areas

- Modeling and Simulation
- Physics and Astronomy(all)
- Computational Mathematics
- Applied Mathematics