Dynamic bending of a symmetric piezoelectric laminated plate with a through crack

Y. Shindo, W. Domon, F. Narita

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


The dynamic theory of linear piezoelectricity is applied to analyze the scattering of time harmonic flexural waves by a through crack in a symmetric piezoelectric laminated plate subjected to electric field loading. An incident wave giving rise to moments symmetric about the crack plane is considered. Piezoelectric layers are added to the upper and lower surfaces. Classical lamination theory is extended to include dynamic piezoelectric effects. Fourier transforms are used to reduce the problem to the solution of a pair of dual integral equations, the solution of which is then expressed in terms of a Fredholm integral equation of the second kind. The dynamic moment intensity factor vs. frequency is computed and the influence of the electric field on the normalized values is displayed graphically.

Original languageEnglish
Pages (from-to)175-182
Number of pages8
JournalTheoretical and Applied Fracture Mechanics
Issue number3
Publication statusPublished - 1998


  • Dynamic bending
  • Symmetric piezoelectric laminated plate
  • Through crack


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