Eigenfrequency correction of Bloch-Floquet waves in a thin periodic bi-material strip with cracks lying on perfect and imperfect interfaces

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Abstract

We analyse an asymptotic low- dimensional model of anti-plane shear in a thin bi-material strip containing a periodic array of interfacial cracks. Both ideal and non-ideal interfaces are considered. We find that the previously derived asymptotic models display a degree of inaccuracy in predicting standing wave eigenfrequencies and suggest an improvement to the asymptotic model to address this discrepancy. Computations demonstrate that the correction to the standing wave eigenfrequencies greatly improve the accuracy of the low-dimensional model.
Original languageEnglish
Pages (from-to)258-270
Number of pages13
JournalWave Motion
Volume49
Issue number2
DOIs
Publication statusPublished - Mar 2012

Keywords

  • Bloch-Floquet waves
  • Crack
  • Imperfect interface
  • Low dimensional model
  • Perfect interface

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