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Macroscopic understanding of domain switching in ferroelectric ceramics under large compressive stress

Abstract

Re-analyzing the measured data of Mun et al. (J Kor Ceram Soc 57(6):684–691, 2020) gives a modified set of fitting equations on the evolutions of remnant state variables and linear material properties during compressive stress-induced domain switching in ferroelectric ceramics. Then a poled PZT ceramic specimen is subject to large compressive stress at five different loading rates. We apply the modified set of fitting equations to the responses of the ceramic specimen and calculate the evolutions of remnant state variables during domain switching. Normalizing the remnant state variables by the relative or absolute maximum values of corresponding variables at the end of loading provides a revealing insight into the process of domain switching in the materials. Finally, the loading rate independence of the relationships between relatively normalized remnant polarization and strains may lead us to a useful modeling clue for a construction of macroscopic switching equations of ferroelectric ceramics.

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References

  1. 1.

    J.H. Mun, D.W. Ji, S.J. Kim, Loading rate independence of the evolution of remnant state variables and linear material properties in ferroelectric ceramics during ferroelastic switching. J. Kor. Ceram. Soc. 57(6), 684–691 (2020)

    CAS  Article  Google Scholar 

  2. 2.

    S.M. Yang, Y. Kim, Nanoscale probing of ferroelectric domain switching using piezoresponse force microscopy. J. Kor. Ceram. Soc. 56(4), 340–349 (2019)

    CAS  Article  Google Scholar 

  3. 3.

    H.T.K. Nguyen, T.A. Duong, F. Erkinov, H. Kang, B.W. Kim, C.W. Ahn, H.S. Han, J.S. Lee, Effect of SrTiO3 modification on dielectric, phase transition and piezoelectric properties of lead-free Bi0.5N0.5TiO3–CaTiO3–SrTiO3 piezoelectric ceramics. J. Kor. Ceram. Soc. 57(5), 570–577 (2020)

    CAS  Article  Google Scholar 

  4. 4.

    M. Selten, G.A. Schneider, V. Knoblauch, R.M. McMeeking, On the evolution of the linear material properties of PZT during loading history—an experimental study. Int. J. Solids Struct. 42(13), 3953–3966 (2005)

    Article  Google Scholar 

  5. 5.

    Q.D. Liu, J.E. Huber, State dependent linear moduli in ferroelectrics. Int. J. Solids Struct. 44(17), 5635–5650 (2007)

    CAS  Article  Google Scholar 

  6. 6.

    D. Zhou, R. Wang, M. Kamlah, Determination of reversible and irreversible contributions to the polarization and strain response of soft PZT using the partial unloading method. J. Euro. Ceram. Soc. 30(12), 2603–2615 (2010)

    CAS  Article  Google Scholar 

  7. 7.

    K.G. Webber, E. Aulbach, T. Key, T.M. Marsilius, T. Granzow, J. Rödel, Temperature-dependent ferroelastic switching of soft lead zirconate titanate. Acta Mat. 57(15), 4614–4623 (2009)

    CAS  Article  Google Scholar 

  8. 8.

    F.H. Schader, G.A. Rossetti Jr., J. Luo, K.G. Webber, Piezoelectric and ferroelectric properties of <001>c Pb(In1/2Nb1/2)O3–Pb(Mg1/3Nb2/3)O3–PbTiO3 single crystals under combined thermal and mechanical loading. Acta Mat. 126(17), 174–181 (2017)

    CAS  Article  Google Scholar 

  9. 9.

    A. Achuthan, C.T. Sun, Domain switching in ferroelectric ceramic materials under combined loads. J. Appl. Phys. 97, 114103 (2005)

    Article  Google Scholar 

  10. 10.

    D.W. Ji, S.J. Kim, Evolution of remnant state variables and linear material moduli in a PZT cube under compressive stress at room and high temperatures. J. Kor. Ceram. Soc. 50(1), 82–86 (2013)

    CAS  Article  Google Scholar 

  11. 11.

    D.W. Ji, S.J. Kim, Rate independence of material properties and remnant state variables during domain switching by electric field or stress in ferroelectric ceramics at room and high temperatures. J. Appl. Phys. 120, 095101 (2016)

    Article  Google Scholar 

  12. 12.

    D.W. Ji, S.J. Kim, Nonlinear behavior of ferroelectric ceramics during mechanical depolarization at room and high temperatures: experiment and prediction by an experimental formula. J. Ceram. Soc. Jpn 126(1), 39–49 (2018)

    CAS  Article  Google Scholar 

  13. 13.

    S.J. Kim, A constitutive model for thermo-electro-mechanical behavior of ferroelectric polycrystals near room temperature. Int. J. Sol Struct. 48, 1318–1329 (2011)

    CAS  Article  Google Scholar 

  14. 14.

    J.E. Huber, N.A. Fleck, Multi-axial electrical switching of a ferroelectric: theory versus experiment. J. Mech. Phys. Sol 49, 785–811 (2001)

    CAS  Article  Google Scholar 

  15. 15.

    Y. Zhou, J. Cao, Y. Cui, Application of a graphical method to the domain switching of ferroelectrics subjected to elecromechanical loading. Mech. Mat. 137, 103078 (2019)

    Article  Google Scholar 

  16. 16.

    A.S. Skaliukh, G.R. Li, Mathematical modeling of the polarization of polycrystalline ferroelectrics. Bull. Russ. Acad. Sci. Phys. 82(3), 287–290 (2018)

    CAS  Article  Google Scholar 

  17. 17.

    Y.W. Li, F.X. Li, Domain switching criterion for ferroelectric single crystals under uni-axial electromechanical loading. Mech. Mat. 93, 246–256 (2016)

    Article  Google Scholar 

  18. 18.

    D.W. Ji, S.J. Kim, Evolution of remnant state variables and linear material properties in ferroelectric ceramics during compressive loading and unloading. Ceram. Int. 40, 331–339 (2014)

    CAS  Article  Google Scholar 

  19. 19.

    S.J. Kim, D.W. Ji, Temperature-dependent compressive creep of ferroelectric ceramics and evolution of remnant state variables. J. Euro. Ceram. Soc. 33, 1779–1792 (2013)

    CAS  Article  Google Scholar 

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Acknowledgements

The 2021 Research Fund of the University of Seoul supported this work.

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Correspondence to Sang-Joo Kim.

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Kim, Y.M., Mun, J.H. & Kim, SJ. Macroscopic understanding of domain switching in ferroelectric ceramics under large compressive stress. J. Korean Ceram. Soc. (2021). https://doi.org/10.1007/s43207-021-00150-4

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Keywords

  • Piezoelectric
  • Domain switching
  • Remnant polarization
  • Remnant strain
  • Rate independent
  • Compressive stress