A study on closed form solution of guided waves scattering amplitude by the use of reciprocity theorem in the cylindrical coordinate

Jaesun Lee, Younho Cho*, Jan Drewes Achenbach

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

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 languageEnglish (US)
Title of host publication41st Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 34
EditorsDale E. Chimenti, Leonard J. Bond
PublisherAmerican Institute of Physics Inc.
Pages262-264
Number of pages3
ISBN (Electronic)9780735412927
DOIs
StatePublished - Jan 1 2015
Event41st Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2014 - Boise, United States
Duration: Jul 20 2014Jul 25 2014

Publication series

NameAIP Conference Proceedings
Volume1650
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other41st Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2014
CountryUnited States
CityBoise
Period7/20/147/25/14

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    Lee, J., Cho, Y., & Achenbach, J. D. (2015). A study on closed form solution of guided waves scattering amplitude by the use of reciprocity theorem in the cylindrical coordinate. In D. E. Chimenti, & L. J. Bond (Eds.), 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