The reflection and transmission of lamb waves across a rectangular crack as a function of the crack geometry

Yongrae Roh, Byungsoo Kim

Research output: Contribution to journalConference articlepeer-review

5 Scopus citations

Abstract

This paper is to derive the reflection and transmission coefficients of Lamb waves incident on arectangular crack in an elastic plate by means of small local matrices. The repeated and sequential scattering phenomenon at the crack is analyzed by introducing three independent processes according to the boundary shape of the crack and the direction of the wave propagation. Several local wave form matrices are composed to represent the scattering characteristics of each process, and the reflection and transmission coefficients of a multimode Lamb wave are calculated across the crack per each scattering cycle. By the superposition rule, thetransmitted and reflected waves from all the cycles are summed to determine the overall steady state responses at the crack boundary. Efficacy of the method is illustrated by determining the transmission and reflection coefficients of S0 and A0 mode waves incident on a crack in an aluminum plate as functions of crack dimensions.

Original languageEnglish
Article number4803689
Pages (from-to)1912-1915
Number of pages4
JournalProceedings of the IEEE Ultrasonics Symposium
DOIs
StatePublished - 2008
Event2008 IEEE International Ultrasonics Symposium, IUS 2008 - Beijing, China
Duration: 2 Nov 20085 Nov 2008

Keywords

  • Crack
  • Lamb waves
  • Scattering

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