Journal of Electroceramics

, Volume 31, Issue 1–2, pp 8–14 | Cite as

Effects of electric field and poling on the fatigue of cracked piezoelectric ceramics in cyclic three-point bending



This paper deals with the fatigue behavior of cracked piezoelectric ceramics in cyclic bending under electric fields both numerically and experimentally. Fatigue tests were carried out in three-point bending with the single-edge precracked-beam specimens. The crack was created normal to the poling direction. Number of cycles to failure was measured under different electric fields. A plane strain finite element analysis was also performed, and the effect of polarization switching on the energy release rate was discussed under a high negative electric field. In addition, possible mechanisms for crack growth were discussed by scanning electron microscope examination of the fracture surface of the piezoelectric ceramics.


Piezomechanics Material testing Finite element method PZT ceramics Cyclic fatigue Smart materials and structures 



This work was supported by the Ministry of Education, Culture, Sports, Science and Technology of Japan under the Grant-in-Aid for Scientific Research (B).


  1. 1.
    Y. Shindo, in Fracture and Crack Mechanics, ed. by J. Yang. Special Topics in the Theory of Piezoelectricity (Springer, Dordrecht Heidelberg London New York, 2009), p. 81Google Scholar
  2. 2.
    Y. Shindo, F. Narita, M. Hirama, Dynamic fatigue of cracked piezoelectric ceramics under electromechanical loading: three-point bending test and finite element analysis. J. Mech. Mater. Struct. 4, 719 (2009)CrossRefGoogle Scholar
  3. 3.
    F. Narita, Y. Shindo, F. Saito, Cyclic fatigue crack growth in three-point bending PZT ceramics under electromechanical loading. J. Am. Ceram. Soc. 90, 2517 (2007)CrossRefGoogle Scholar
  4. 4.
    Y. Shindo, F. Narita, T. Matsuda, Electric field dependence of the mode I energy release rate in single-edge cracked piezoelectric ceramics: effect due to polarization switching/dielectric breakdown. Acta Mechanica. 219, 129 (2011)CrossRefGoogle Scholar
  5. 5.
    J. Wang, T.-Y. Zhang, Phase field simulations of polarization switching-induced toughening in ferroelectric ceramics. Acta Mater. 55, 2465 (2007)CrossRefGoogle Scholar
  6. 6.
    S. Kalyanam, C.T. Sun, Modeling the fracture behavior of piezoelectric materials using a gradual polarization switching model. Mech. Mater. 41, 520 (2009)CrossRefGoogle Scholar
  7. 7.
    B.-X. Xu, D. Schrade, D. Gross, R. Mueller, Phase field simulation of domain structures in cracked ferroelectrics. Int. J. Fract. 165, 163 (2010)CrossRefGoogle Scholar
  8. 8.
    S.C. Hwang, C.S. Lynch, R.M. McMeeking, Ferroelectric/ferroelastic interactions and a polarization switching model. Acta Metall. Mater. 43, 2073 (1995)CrossRefGoogle Scholar
  9. 9.
    Y. Shindo, M. Yoshida, F. Narita, K. Horiguchi, Electroelastic field concentrations ahead of electrodes in multilayer piezoelectric actuators: experiment and finite element simulation. J. Mech. Phys. Solids. 52, 1109 (2004)CrossRefGoogle Scholar
  10. 10.
    T. Steinkopff, Finite-element modelling of ferroic domain switching in piezoelectric ceramics. J. Euro. Ceram. Soc. 19, 1247 (1999)CrossRefGoogle Scholar
  11. 11.
    F. Narita, Y. Shindo, K. Hayashi, Bending and polarization switching of piezoelectric laminated actuators under electromechanical loading. Comput. Struct. 83, 1164 (2005)CrossRefGoogle Scholar
  12. 12.
    Y. Shindo, F. Narita, M. Hirama, Effect of the electrical boundary condition at the crack face on the mode I energy release rate in piezoelectric ceramics. Appl. Phys. Lett. 94, 081902 (2009)CrossRefGoogle Scholar
  13. 13.
    T. Matsudaira, Y. Matsumura, S. Kitaoka, H. Awaji, Effect of microstructure on the fatigue behavior of aluminum titanate ceramics. J. Mater. Sci. 44, 1622 (2009)CrossRefGoogle Scholar
  14. 14.
    Y. Zhou, Z. Sun, The compressive property and brittle-to-ductile transition of Ti3SiC2 ceramics. Mat. Res. Innovat. 3, 171 (1999)CrossRefGoogle Scholar

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© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of Materials Processing, Graduate School of EngineeringTohoku UniversitySendaiJapan

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