Abstract
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 language | English (US) |
|---|---|
| Pages (from-to) | 539-562 |
| Number of pages | 24 |
| Journal | Engineering Fracture Mechanics |
| Volume | 64 |
| Issue number | 5 |
| DOIs | |
| State | Published - Nov 1999 |
Funding
We gratefully acknowledge funding for this work by an office of Naval Research Young Investigator award #N0014-96-1-0711 and by a National Science Foundation CAREER award, NSF #CMS-9702169.
Keywords
- Constitutive law
- Crack
- Ferroelectric material
- Field concentration
- Finite element
ASJC Scopus subject areas
- General Materials Science
- Mechanics of Materials
- Mechanical Engineering