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### Abstract

A frequency-domain finite element technique is presented that enables the complete characterization of a finite-sized scatterer using a minimum number of separate model executions and a relatively small spatial modeling domain. The technique is implemented using a commercial finite element package. A certain forcing profile is applied at a set of points surrounding the scatterer to cause a uni-modal plane wave to be incident on the scatterer from a specified direction. The scattered field is recorded and decomposed first into modes and then into far-field scattering coefficients in different directions. The data obtained from the model are represented in a scattering matrix that describes the far-field scattering response for all combinations of incident and scattering angles. The information in the scattering matrix can be efficiently represented in the Fourier domain by another matrix containing a finite number of Fourier coefficients. It is shown how the complete scattering behavior in both the near- and far-field can be extracted from the matrix of Fourier coefficients. Modeling accuracy is examined in various ways, including a comparison with the analytical solution for a circular cavity, and guidelines for the selection of modeling parameters are given.

Translated title of the contribution | Efficient frequency-domain finite element modeling of two-dimensional elastodynamic scattering |
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Original language | English |

Pages (from-to) | 155 - 165 |

Number of pages | 11 |

Journal | Journal of the Acoustical Society of America |

Volume | 127 |

DOIs | |

Publication status | Published - Jan 2010 |

## Fingerprint Dive into the research topics of 'Efficient frequency-domain finite element modeling of two-dimensional elastodynamic scattering'. Together they form a unique fingerprint.

## Projects

- 1 Finished

## TWO-DIMENSIONAL ARRAYS FOR THE QUANTITATIVE CHARACTERISATION OF COMPLEX DEFECTS

1/03/08 → 1/03/11

Project: Research