Fracture criteria for piezoelectric ceramics

Leslie Banks-Sills*

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review


An analytical, numerical and experimental investigation was carried out to determine fracture criteria for piezoceramics with poling parallel and perpendicular to the crack faces. The asymptotic expressions of stress, strain, electric flux density and electric fields were derived. For a piezoelectric material, in addition to the usual three modes of fracture, there is a fourth mode associated with the electric field. The asymptotic expressions were used for determining the energy release rate and extending a conservative interaction energy or M-integral for calculating the intensity factors associated with piezoelectric material for energetically consistent boundary conditions on the crack faces. Tests were performed on four-point bend PZT-5H fracture specimens with the poling direction parallel to the crack faces. The specimens were analyzed numerically by means of the finite element method. Finally, a mixed mode fracture criterion for piezoelectric ceramics was developed. This criterion is based upon the energy release rate and two phase angles, determined from the ratio between the intensity factors KIV and KI, for the first, and KII and KI, for the second. This data and that taken from another source for poling perpendicular to the crack faces were used to produce failure criteria for each case.

Original languageEnglish
Number of pages7
StatePublished - 2013
Event13th International Conference on Fracture 2013, ICF 2013 - Beijing, China
Duration: 16 Jun 201321 Jun 2013


Conference13th International Conference on Fracture 2013, ICF 2013


  • Conservation integrals
  • Four-point bend tests
  • Mixed mode fracture
  • Piezoelectric ceramics


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