Fracture mechanics for a Mode I crack in piezoelectric materials

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94 Scopus citations


Using linear piezoelectricity theory, the effect of a Griffith crack on stress and electric fields in an infinite piezoelectric material under electric and tension loading has been studied by using appropriate boundary conditions. A closed-form solution to the Mode I fracture problem is obtained for external loading used to open the crack. By including electrostatic energy in the calculation of crack driving force, the energy release rate is found to be the third power function of the external loading if electric field inside the crack is not zero at the crack tip. The results may be used to explain some nonlinear phenomenon observed in the indentation of piezoelectric ceramics.

Original languageEnglish
Pages (from-to)3813-3830
Number of pages18
JournalInternational Journal of Solids and Structures
Issue number21
StatePublished - May 2001

Bibliographical note

Copyright 2007 Elsevier B.V., All rights reserved.


  • Crack
  • Energy release rate
  • Nonlinear behavior
  • Piezoelectric

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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