Multiple scattering of Lamb waves by multiple corrosion pits in a plate

Brandon W. Strom*, Sridhar Krishnaswamy, Jan Drewes Achenbach

*Corresponding author for this work

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

2 Scopus citations

Abstract

The scattering of Lamb waves from multiple corrosion pits on the surface of a plate is investigated. Previous work produced a model which solved for the scattered field when a Lamb wave is incident on a single corrosion pit, and we present an improvement on that model, and use it to study the case of multiple corrosion pits. The solution technique solves for the scattered field by replacing the corrosion pits with equivalent point loads applied to the surface of the plate, and the reciprocity theorem is used to calculate the scattered field. For the case of multiple corrosion pits, an implicit set of equations are derived using the self consistent method, and an approximation is advanced which results in an explicit set of equations which approximate the scattered field. The second order approximation to the multiple scattering problem is considered and solved semi-analytically for an ensemble of corrosion pits.

Original languageEnglish (US)
Title of host publicationHealth Monitoring of Structural and Biological Systems 2012
Volume8348
DOIs
StatePublished - Jun 6 2012
EventHealth Monitoring of Structural and Biological Systems 2012 - San Diego, CA, United States
Duration: Mar 12 2012Mar 15 2012

Other

OtherHealth Monitoring of Structural and Biological Systems 2012
CountryUnited States
CitySan Diego, CA
Period3/12/123/15/12

Keywords

  • Analytical solution
  • Corrosion pit
  • Lamb wave
  • Multiple scattering
  • Reciprocity theorem

ASJC Scopus subject areas

  • Applied Mathematics
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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