Analysis of electric boundary condition effects on crack propagation in piezoelectric ceramics

H. Qi*, D. N. Fang, Z. H. Yao

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

14 Citations (Scopus)

Abstract

There are three types of cracks: impermeable crack, permeable crack and conducting crack, with different electric boundary conditions on faces of cracks in piezoelectric ceramics, which poses difficulties in the analysis of piezoelectric fracture problems. In this paper, in contrast to our previous FEM formulation, the numerical analysis is based on the use of exact electric boundary conditions at the crack faces, thus the common assumption of electric impermeability in the FEM analysis is avoided. The crack behavior and elasto-electric fields near a crack tip in a PZT-5 piezoelectric ceramic under mechanical, electrical and coupled mechanical-electrical loads with different electric boundary conditions on crack faces are investigated. It is found that the dielectric medium between the crack faces will reduce the singularity of stress and electric displacement. Furthermore, when the permittivity of the dielectric medium in the crack gap is of the same order as that of the piezoelectric ceramic, the crack becomes a conducting crack, and the applied electric field has no effect on the crack propagation.

Original languageEnglish
Pages (from-to)59-70
Number of pages12
JournalActa Mechanica Sinica/Lixue Xuebao
Volume17
Issue number1
DOIs
Publication statusPublished - Feb 2001
Externally publishedYes

Keywords

  • Crack propagation
  • Electric boundary condition
  • Finite element method
  • Piezoelectric ceramic

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Qi, H., Fang, D. N., & Yao, Z. H. (2001). Analysis of electric boundary condition effects on crack propagation in piezoelectric ceramics. Acta Mechanica Sinica/Lixue Xuebao, 17(1), 59-70. https://doi.org/10.1007/bf02487770