Skip to main content

Advertisement

Log in

Investigation into the creeping polarization and strain in PZT-855 under combined mechanical and electrical loadings

  • Published:
Acta Mechanica Aims and scope Submit manuscript

Abstract

The time-dependent remnant polarization and remnant strains evolving with time are measured and modeled on initially unpoled ferroceramic PZT-855 under a compressive stress and an electric field. Experiments reveal that the compression stress significantly inhibits the hysteresis loop curves of the electric displacement and the strain since the two hysteresis loop curves against the applied electric field become narrower and narrower as the compression stress becomes larger and larger. Moreover, the compression stress decreases the coercive electric field significantly when compared to that under an applied purely electric field. The variable tendency of the coercive filed in the present case seems like a power-law curve. It is also seen that the compression stress significantly influences the variable features of the remnant polarization and remnant strains against time although the time-dependent feature still remains. In particular, the larger the compression stress is, the smaller the remnant polarization and remnant strains are. For some extreme cases, the remnant strain transfers from a tensile strain to a compressive strain. The power-law formulation proposed by Liu and Huber (J Eur Ceram Soc 29:2799–2806, 2006) is extended to model the present experimental data. However, unlike those under purely electric fields, as the mechanical loading varies from 0 to 100 MPa, the predicted saturation of the remnant polarization appears much earlier than the present experimental data. This limits the application of the power-law model. Further theoretical investigations are needed which will be given in a sequel.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Liu Q.D., Huber J.E.: Creep in ferroelectrics due to unipolar electrical loading. J. Eur. Ceram. Soc. 29, 2799–2806 (2006)

    Article  Google Scholar 

  2. Jaffe B., Cook W.R., Jaffe H.: Piezoelectric Ceramics. Academic Press, London (1971)

    Google Scholar 

  3. Haertling G.H.: Ferroelectric ceramics: history and technology. J. Am. Ceram. Soc. 82, 797–818 (1999)

    Article  Google Scholar 

  4. Scott J.F.: Ferroelectric Memories. Springer, Berlin (2000)

    Google Scholar 

  5. Cocks A.C.F., McMeeking R.M.: A phenomenological constitutive law for the behavior of ferroelectric ceramics. Ferroelectrics 228, 219–228 (1999)

    Article  Google Scholar 

  6. 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 

  7. Li W.F., Weng G.J.: A Theory of ferroelectric hysteresis with a superimposed stress. J. Appl. Phys. 91(6), 3806–3815 (2002)

    Article  Google Scholar 

  8. Kamlah M., Tsakmakis C.: Phenomenological modeling of the non-linear electro-mechanical coupling in ferroelectrics. Int. J. Solids Struct. 36(5), 669–695 (1999)

    Article  MATH  Google Scholar 

  9. Janocha H., Kuhnen K.: Real-time compensation of hysteresis and creep in piezoelectric actuators. Sensors Actuat. A Phys. 79, 83–89 (2000)

    Article  Google Scholar 

  10. Lucato S., Lupascu D.C., Kamlah M., Rodel J., Lynch C.S.: Constraint-induced crack initiation at electrode edges in piezoelectric ceramics. Acta Mater. 49, 2751–2759 (2001)

    Article  Google Scholar 

  11. Landis C.M.: Fully coupled, multi-axial, symmetric constitutive laws for polycrystalline ferroelectric ceramics. J. Mech. Phys. Solids 50, 127–152 (2002)

    Article  MATH  Google Scholar 

  12. Schmitz T., Prume K., Reichenberg B., Roelofs A., Waser R., Tiedke S.: In-situ compensation of the parasitic capacitance for nanoscale hysteresis measurements. J. Eur. Ceram. Soc. 24(6), 1145–1147 (2004)

    Article  Google Scholar 

  13. Zhou D., Kamlah M.: Determination of room-temperature creep of soft lead zirconate titanate piezoceramics under static electric fields. J. Appl. Phys. 98, 104107 (2005)

    Article  Google Scholar 

  14. Zhou D., Wang Z., Kamlah M.: Room-temperature creep of soft PZT under static electrical and compressive stress loading. Acta Mater. 54, 1389–1396 (2006)

    Article  Google Scholar 

  15. Lynch C.S.: The effect of uniaxial stress on the electro-mechanical response of 8/65/35 PLZT. Acta Mater. 44(10), 4137–4148 (1996)

    Article  Google Scholar 

  16. Shieh J., Huber J.E., Fleck N.A.: An evaluation of switching criteria for ferroelectrics under stress and electric field. Acta Mater. 51(20), 6123–6137 (2003)

    Article  Google Scholar 

  17. Hwang S.C., Huber J.E., McMeeking R.M., Fleck N.A.: The simulation of switching in polycrystalline ferroelectric ceramics. J. Appl. Phys. 84, 1530–1540 (1998)

    Article  Google Scholar 

  18. Huber J.e., Fleck N.a., Landis C.M., McMeeking R.M.: A constitutive model for ferroelectric polycrystals. J. Mech. Phys. Solids 47(8), 1663–1697 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  19. Liu Q.D., Huber J.E.: State dependent linear moduli in ferroelectrics. Int. J. Solids Struct. 44, 5635–5650 (2007)

    Article  Google Scholar 

  20. Selton M., Schneider G., Knoblauch V., McMeeking R.M.: On the evolution of the linear material properties of PZT during loading history: an experimental study. Int. J. Solids Struct. 42, 3953–3966 (2005)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Q. D. Liu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, Q.D. Investigation into the creeping polarization and strain in PZT-855 under combined mechanical and electrical loadings. Acta Mech 220, 1–14 (2011). https://doi.org/10.1007/s00707-011-0462-6

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00707-011-0462-6

Keywords

Navigation