Skip to main content

Advertisement

SpringerLink
Log in

Electric field dependence of the mode I energy release rate in single-edge cracked piezoelectric ceramics: effect due to polarization switching/dielectric breakdown

  • Published:
Acta Mechanica Aims and scope Submit manuscript

Abstract

This study presents the results of the mode I energy release rate of a rectangular piezoelectric material with a single-edge crack under electromechanical loading. A crack was created normal or parallel to the poling direction, and electric fields were applied parallel and antiparallel to the poling. A nonlinear plane strain finite element analysis was carried out, and the effect of localized polarization switching on the energy release rate was discussed for the permeable, impermeable, open, and discharging cracks under a high-negative electric field. The effect of dielectric breakdown on the energy release rate was also examined under a high-positive electric field.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Parton V.Z.: Fracture mechanics of piezoelectric materials. Acta Astro. 3, 671–683 (1976)

    Article  MATH  Google Scholar 

  2. Shindo Y., Ozawa E., Nowacki J.P.: Singular stress and electric fields of a cracked piezoelectric strip. Int. J. Appl. Electromagn. Mater. 1, 77–87 (1990)

    Google Scholar 

  3. Sosa H.A.: On the fracture mechanics of piezoelectric solids. Int. J. Solids Struct. 29, 2613–2622 (1992)

    Article  MATH  Google Scholar 

  4. Pak Y.E.: Linear electro-elastic fracture mechanics of piezoelectric materials. Int. J. Fract. 54, 79–100 (1992)

    Article  Google Scholar 

  5. Hao T.-H., Shen Z.-Y.: A new electric boundary condition of electric fracture mechanics and its applications. Eng. Fract. Mech. 47, 793–802 (1994)

    Article  Google Scholar 

  6. Zhao M.H., Xu G., Fan C.Y.: Hybrid extended displacement discontinuity-charge simulation method for analysis of cracks in 2D piezoelectric media. Eng. Anal. Bound. Elem. 33, 592–600 (2009)

    Article  MathSciNet  Google Scholar 

  7. Landis C.M.: Energetically consistent boundary conditions for electromechanical fracture. Int. J. Solids Struct. 41, 6291–6315 (2004)

    Article  MATH  Google Scholar 

  8. Shindo Y., Narita F., Hirama M.: 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)

    Article  Google Scholar 

  9. Fang D.N., Sun C.T.: Experimental study of fatigue and fracture of piezoceramics. In: Shindo, Y. (ed.) Mechanics of Electromagnetic Material Systems and Structures, pp. 103–114. WIT Press, Boston (2003)

    Google Scholar 

  10. Shindo Y., Narita F., Mikami M.: Double torsion testing and finite element analysis for determining the electric fracture properties of piezoelectric ceramics. J. Appl. Phys. 97, 114109 (2005)

    Article  Google Scholar 

  11. Shindo Y., Narita F., Horiguchi K., Magara Y., Yoshida M.: Electric fracture and polarization switching properties of piezoelectric ceramic PZT studied by the modified small punch test. Acta Mater. 51, 4773–4782 (2003)

    Article  Google Scholar 

  12. Gao H., Zhang T.-Y., Tong P.: Local and global energy release rates for an electrically yielded crack in a piezoelectric ceramic. J. Mech. Phys. Solids 45, 491–510 (1997)

    Article  Google Scholar 

  13. Zhang T.-Y., Zhao M.-H., Gao C.-F.: The strip dielectric breakdown model. Int. J. Eng. Sci. 132, 311–327 (2005)

    MATH  Google Scholar 

  14. Fan C.-Y., Zhao M.-H., Zhou Y.-H.: Numerical solution of polarization saturation/dielectric breakdown model in 2D finite piezoelectric media. J. Mech. Phys. Solids 57, 1527–1544 (2009)

    Article  MATH  Google Scholar 

  15. Narita F., Shindo Y., Horiguchi K.: Electroelastic fracture mechanics of piezoelectric ceramics. In: Shindo, Y. (ed.) Mechanics of Electromagnetic Material Systems and Structures, pp. 89–101. WIT Press, Boston (2003)

    Google Scholar 

  16. Hwang S.C., Lynch C.S., McMeeking R.M.: Ferroelectric/ferroelastic interactions and a polarization switching model. Acta Metall. Mater. 43, 2073–2084 (1995)

    Article  Google Scholar 

  17. Sun C.T., Achuthan A.: Domain-switching criteria for ferroelectric materials subjected to electrical and mechanical loads. J. Am. Ceram. Soc. 87, 395–400 (2004)

    Article  Google Scholar 

  18. McMeeking R.M.: The energy release rate for a Griffith crack in a piezoelectric material. Eng. Fract. Mech. 71, 1149–1163 (2004)

    Article  Google Scholar 

  19. Li F.Z., Shih C.F., Needleman A.: A comparison of methods for calculating energy release rates. Eng. Fract. Mech. 21, 405–421 (1985)

    Article  Google Scholar 

  20. McMeeking R.M.: Crack tip energy release rate for a piezoelectric compact tension specimen. Eng. Fract. Mech. 64, 217–244 (1999)

    Article  Google Scholar 

  21. Shindo Y., Yoshida M., Narita F., Horiguchi K.: Electroelastic field concentrations ahead of electrodes in multilayer piezoelectric actuators: experiment and finite element simulation. J. Mech. Phys. Solids 52, 1109–1124 (2004)

    Article  MATH  Google Scholar 

  22. Narita F., Shindo Y., Hayashi K.: Bending and polarization switching of piezoelectric laminated actuators under electromechanical loading. Comput. Struct. 83, 1164–1170 (2005)

    Article  Google Scholar 

  23. Tani T., Asai M., Takatori K., Kamiya N.: Evaluation of dielectric strength and breakdown behavior for Sr-, Nb-doped PZT ceramics with various shapes of electrodes. J. Ceram. Soc. Jap. 105, 308–311 (1997)

    Google Scholar 

  24. Shindo Y., Narita F., Hirama M.: Dynamic fatigue of cracked piezoelectric ceramics under electromechanical loading: three-point bending test and finite element analysis. J. Mech. Mater. Struct. 4, 719–729 (2009)

    Article  Google Scholar 

  25. Sun C.T., Park S.B.: Measuring fracture toughness of piezoceramics by Vickers indentation under the influence of electric fields. Ferroelectrics 248, 79–95 (2000)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Materials Processing, Graduate School of Engineering, Tohoku University, Aoba-yama 6-6-02, Sendai, 980-8579, Japan

    Yasuhide Shindo, Fumio Narita & Takuya Matsuda

Authors
  1. Yasuhide Shindo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Fumio Narita
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Takuya Matsuda
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yasuhide Shindo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shindo, Y., Narita, F. & Matsuda, T. Electric field dependence of the mode I energy release rate in single-edge cracked piezoelectric ceramics: effect due to polarization switching/dielectric breakdown. Acta Mech 219, 129–143 (2011). https://doi.org/10.1007/s00707-011-0445-7

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00707-011-0445-7

Keywords

Search

Navigation