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.
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References
Liu Q.D., Huber J.E.: Creep in ferroelectrics due to unipolar electrical loading. J. Eur. Ceram. Soc. 29, 2799–2806 (2006)
Jaffe B., Cook W.R., Jaffe H.: Piezoelectric Ceramics. Academic Press, London (1971)
Haertling G.H.: Ferroelectric ceramics: history and technology. J. Am. Ceram. Soc. 82, 797–818 (1999)
Scott J.F.: Ferroelectric Memories. Springer, Berlin (2000)
Cocks A.C.F., McMeeking R.M.: A phenomenological constitutive law for the behavior of ferroelectric ceramics. Ferroelectrics 228, 219–228 (1999)
Hwang S.C., Lynch C.S., McMeeking R.M.: Ferroelectric/ferroelastic interactions and a polarization switching model. Acta Metall. Mater. 43, 2073–2084 (1995)
Li W.F., Weng G.J.: A Theory of ferroelectric hysteresis with a superimposed stress. J. Appl. Phys. 91(6), 3806–3815 (2002)
Kamlah M., Tsakmakis C.: Phenomenological modeling of the non-linear electro-mechanical coupling in ferroelectrics. Int. J. Solids Struct. 36(5), 669–695 (1999)
Janocha H., Kuhnen K.: Real-time compensation of hysteresis and creep in piezoelectric actuators. Sensors Actuat. A Phys. 79, 83–89 (2000)
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)
Landis C.M.: Fully coupled, multi-axial, symmetric constitutive laws for polycrystalline ferroelectric ceramics. J. Mech. Phys. Solids 50, 127–152 (2002)
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)
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)
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)
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)
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)
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)
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)
Liu Q.D., Huber J.E.: State dependent linear moduli in ferroelectrics. Int. J. Solids Struct. 44, 5635–5650 (2007)
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)
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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
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DOI: https://doi.org/10.1007/s00707-011-0462-6