### Abstract

The guided wave technique is well known for long range pipe inspection. Guided wave scattered signal analysis is difficult due to the complex geometry such as corrosion. Reciprocity relation is well established theorem to convert complicate mathematical expression to simpler manner. Wave signal analysis is performed for half-space and plate problems with reciprocity approach by earlier papers. The advantage of applying reciprocity theorem is providing closed form solution of scattered wave amplitude calculation. However, it is hard to find reciprocity relation application on cylindrical coordinates. In this paper, reciprocity theorem is applied on cylindrical coordinate for wave propagation pattern analysis. The wave field is obtained in an elegant manner by using a superposition technique and the reciprocity theorem for three-dimensional elastodynamics. For the scattered field, there are two elastodynamic stages; actual wave field excited by time-harmonic loading, virtual wave. The amplitudes of the propagating waves can easily be obtained with a much simpler calculation by reciprocity relation with closed form solution.

Original language | English (US) |
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Title of host publication | 41st Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 34 |

Editors | Dale E. Chimenti, Leonard J. Bond |

Publisher | American Institute of Physics Inc. |

Pages | 262-264 |

Number of pages | 3 |

ISBN (Electronic) | 9780735412927 |

DOIs | |

State | Published - Jan 1 2015 |

Event | 41st Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2014 - Boise, United States Duration: Jul 20 2014 → Jul 25 2014 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 1650 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Other

Other | 41st Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2014 |
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Country | United States |

City | Boise |

Period | 7/20/14 → 7/25/14 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*41st Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 34*(pp. 262-264). (AIP Conference Proceedings; Vol. 1650). American Institute of Physics Inc.. https://doi.org/10.1063/1.4914618