Abstract
Two series of compressive stress cycles are applied to a commercial poled ferroelectric cube specimen at room temperature \(\,20\,{^\circ }{\text{C}}\): one is big stress cycles of increasing magnitude and the other small stress cycles of constant magnitude. The former is applied at five different rates to induce domain switching, and the latter at the fastest loading rate possible to estimate the evolutions of linear material properties during switching. From measured data, we find that the relationships among remnant polarization, longitudinal remnant strain, and transverse remnant strain are equal and the same independent of loading rates. The dependence of piezoelectric coefficient, elastic compliance coefficients, and Poisson’s ratio on remnant state variables is also the same independent of loading rate. These observations lead to conclude that switching processes by compressive stress are loading rate independent, which would be useful in developing constitutive equations for nonlinear behavior of ferroelectric ceramics.
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References
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)
Q.D. Liu, J.E. Huber, State dependent linear moduli in ferroelectrics. Int. J. Solids Struct. 44(17), 5635–5650 (2007)
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. Eur. Ceram. Soc. 30(12), 2603–2615 (2010)
K.G. Webber, E. Aulbach, T. Key, T.M. Marsilius, T. Granzow, J. Rödell, Temperature-dependent ferroelastic switching of soft lead zirconate titanate. Acta Mater. 57(15), 4614–4623 (2009)
J.B. Bottero, M.I. Idiart, An evaluation of a class of phenomenological theories of ferroelectricity in polycrystalline ceramics. J. Eng. Math. 113(1), 13–22 (2018)
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. Korean Ceram. Soc. 50(1), 82–86 (2013)
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)
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)
D.W. Ji, S.J. Kim, Experiment and prediction of nonlinear behavior at high temperatures of ferroelectric ceramics switched by electric field at room temperature. J. Korean Ceram. Soc. 54(3), 235–242 (2017)
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The 2019 Research Fund of the University of Seoul supported this work.
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Mun, J.H., Ji, D.W. & Kim, SJ. Loading rate independence of the evolutions of remnant state variables and linear material properties in ferroelectric ceramics during ferroelastic switching. J. Korean Ceram. Soc. 57, 684–691 (2020). https://doi.org/10.1007/s43207-020-00068-3
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DOI: https://doi.org/10.1007/s43207-020-00068-3