Finite element analysis of cracks in ferroelectric ceramic materials

W. Chen, C. S. Lynch*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


A constitutive law governing the behavior of ferroelectric ceramics is presented. The constitutive law includes the effects of ferroelectric and ferroelastic polarization reorientation. It is both multiaxial and non-proportional. This material model is implemented in a finite element code developed for this work. The material model determines changes of remanent strain and remanent polarization induced by the stress and electric field. The finite element code is used to analyze the effect of an elliptical hole in a ferroelectric plate. The effects of aspect ratio and ratio of the permittivity of the hole interior to that of the plate material are determined. As the ellipse shrinks to a crack, the electric field and stress concentrations increase. As the permittivity of the ellipse interior approaches that of the ferroelectric material, the electric field concentration diminishes. Ferroelectric and ferroelastic switching are shown to have a large effect on the magnitude of the field concentrations.

Original languageEnglish (US)
Pages (from-to)539-562
Number of pages24
JournalEngineering Fracture Mechanics
Issue number5
StatePublished - Nov 1999


  • Constitutive law
  • Crack
  • Ferroelectric material
  • Field concentration
  • Finite element

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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