Subcoercive cyclic electrical loading of lead zirconate titanate ceramics I: nonlinearities and losses in the converse piezoelectric effect
Open accessAbstract
The converse piezoelectric response of Pb(Zr x Ti 1− x )O 3 ceramics is investigated as a function of material composition. The effects of the crystallographic phase and different dopants on piezoelectric nonlinearity are separately examined. For a linear dependence of d 33 on E 0 , the Rayleigh law is applied to describe the material behavior. The observed piezoelectric nonlinearities are described in terms of contributions from extrinsic mechanisms. It is observed that the fractional contribution to d 33 from irreversible extrinsic mechanisms in the rhombohedral phase is greater than in tetragonal phases for all amplitudes of applied electric fields, which is attributed to a greater degree of possible non‐180° domain wall motion for the rhombohedral phase. The fractional contribution to d 33 from irreversible extrinsic mechanisms is also observed to be greatly enhanced with La‐doped ceramics in comparison with undoped and Fe‐doped ceramics (for compositions near morphotropic phase boundary, the irreversible extrinsic contribution is ∼45% for La‐doped ceramics as compared with ∼25% for undoped‐ceramics and ∼2% for Fe‐doped ceramics, under an applied sinusoidal electric field of amplitude ±750 V/mm). This can be explained due to the promotion of domain wall displacement in the material with La doping, while doping with Fe restricts the motion of the domain walls. The effect of piezoelectric nonlinearities on strain–electric field hysteresis is subsequently examined. It is observed that Rayleigh‐type nonlinearity has the dominant contribution to the total strain–electric field hysteresis, although a small contribution can originate from the linear viscoelastic nature of domain wall motion in the material. In order to calculate the complex piezoelectric coefficients, a method based on Fourier expansion of the Rayleigh relations is adopted. Finally, a description of first and higher order harmonics is used to show that the Rayleigh component is dominant in the overall piezoelectric strain of the material.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Cites
Ferroelectric Ceramics: History and Technology
Haertling, G. H. (1999) · Journal of the American Ceramic Society · doi:10.1111/j.1151-2916.1999.tb01840.x · Cited by 4,071 · see citing works
(1971) · Elsevier eBooks · doi:10.1016/b978-0-12-379550-2.x5001-7 · Cited by 2,738 · see citing works
Physical properties of crystals
Jacobs, P. W. M. (2005) · Cambridge University Press eBooks · doi:10.1017/cbo9780511535390.017 · Cited by 1,874 · see citing works
Fabrication of perovskite lead magnesium niobate
Swartz, S. L., & Shrout, T. R. (1982) · Materials Research Bulletin · doi:10.1016/0025-5408(82)90159-3 · Cited by 1,573 · see citing works
A monoclinic ferroelectric phase in the Pb(Zr1−xTix)O3 solid solution
Noheda, B., Cox, D. E., Shirane, G., et al. (1999) · Applied Physics Letters · doi:10.1063/1.123756 · Cited by 1,070 · see citing works
Randall, C. A., Kim, N., Kucera, J., Cao, W., & Shrout, T. R. (1998) · Journal of the American Ceramic Society · doi:10.1111/j.1151-2916.1998.tb02389.x · Cited by 1,066 · see citing works
Contributions to the piezoelectric effect in ferroelectric single crystals and ceramics
Damjanovic, D. (2005) · Journal of the American Ceramic Society · doi:10.1111/j.1551-2916.2005.00671.x · Cited by 708 · see citing works
Self-citationReview Nonlinearity in piezoelectric ceramics
Hall, D. A. (2001) · Journal of Materials Science · doi:10.1023/a:1017959111402 · Cited by 518 · see citing works
Stress and frequency dependence of the direct piezoelectric effect in ferroelectric ceramics
Damjanović, D. (1997) · Journal of Applied Physics · doi:10.1063/1.365981 · Cited by 430 · see citing works
Rayleigh, L. (1887) · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · doi:10.1080/14786448708628000 · Cited by 351 · see citing works
The extrinsic nature of nonlinear behavior observed in lead zirconate titanate ferroelectric ceramic
Li, S., Cao, W., & Cross, L. E. (1991) · Journal of Applied Physics · doi:10.1063/1.347616 · Cited by 344 · see citing works
Damjanovic, D., & Demartin, M. (1997) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/9/23/018 · Cited by 343 · see citing works
The Rayleigh law in piezoelectric ceramics
Damjanović, D., & Demartin, M. (1996) · Journal of Physics D Applied Physics · doi:10.1088/0022-3727/29/7/046 · Cited by 334 · see citing works
Schönau, K. A., Schmitt, L. A., Knapp, M., et al. (2007) · Physical Review B · doi:10.1103/physrevb.75.184117 · Cited by 303 · see citing works
Setter, N., & Colla, E. L. (1993) · Birkhäuser Basel eBooks · doi:10.1007/978-3-0348-7551-6 · Cited by 260 · see citing works
Bridging phases at the morphotropic boundaries of lead oxide solid solutions
Noheda, B., & Cox, D. E. (2006) · Phase Transitions · doi:10.1080/01411590500467262 · Cited by 240 · see citing works
Eitel, R. E., Shrout, T. R., & Randall, C. A. (2006) · Journal of Applied Physics · doi:10.1063/1.2207738 · Cited by 215 · see citing works
Damjanović, D. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.55.r649 · Cited by 184 · see citing works
Hall, D. A., Steuwer, A., Cherdhirunkorn, B., et al. (2004) · Journal of Applied Physics · doi:10.1063/1.1787590 · Cited by 157 · see citing works
Loss mechanisms and domain stabilisation in doped BaTiO3
Hagemann, H. J. (1978) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/11/15/031 · Cited by 149 · see citing works
Trolier-McKinstry, S. E., Bassiri‐Gharb, N., & Damjanović, D. (2006) · Applied Physics Letters · doi:10.1063/1.2203750 · Cited by 117 · see citing works
High field dielectric behaviour of ferroelectric ceramics
Hall, D. A., & Stevenson, P. J. (1999) · Ferroelectrics · doi:10.1080/00150199908226132 · Cited by 113 · see citing works
Eitel, R. E., & Randall, C. A. (2007) · Physical Review B · doi:10.1103/physrevb.75.094106 · Cited by 110 · see citing works
García, J. E., Pérez, R., Ochoa, D. A., Albareda, A., Lente, M. H., & Eiras, J. A. (2008) · Journal of Applied Physics · doi:10.1063/1.2894595 · Cited by 100 · see citing works
Behavior of soft piezoelectric ceramics under high sinusoidal electric fields
Kugel, V. D., & Cross, L. E. (1998) · Journal of Applied Physics · doi:10.1063/1.368422 · Cited by 98 · see citing works
Pramanick, A., Daniels, J. E., & Jones, J. L. (2009) · Journal of the American Ceramic Society · doi:10.1111/j.1551-2916.2009.03219.x · Cited by 77 · see citing works
Self-citationRayleigh behaviour and the threshold field in ferroelectric ceramics
Hall, D. A. (1999) · Ferroelectrics · doi:10.1080/00150199908260586 · Cited by 73 · see citing works
Energy Loss Processes in Ferroelectric Ceramics
Lewis, B. (1959) · Proceedings of the Physical Society · doi:10.1088/0370-1328/73/1/304 · Cited by 61 · see citing works
García, J. E., Pérez, R., & Albareda, A. (2005) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/17/44/007 · Cited by 60 · see citing works
Field and temperature dependence of dielectric properties in -based piezoceramics
Hall, D. A., Ben-Omran, M. M., & Stevenson, P. J. (1998) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/10/2/025 · Cited by 50 · see citing works
Piezoelectric nonlinearity in ferroelectric thin films
Bassiri‐Gharb, N., Trolier-McKinstry, S. E., & Damjanović, D. (2006) · Journal of Applied Physics · doi:10.1063/1.2266235 · Cited by 44 · see citing works
DiP219: Linearization of dielectric nonlinearity by internal bias fields
Robels, U., Zadon, C., & Arlt, G. (1992) · Ferroelectrics · doi:10.1080/00150199208217993 · Cited by 29 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
A review of piezoelectric energy harvesting tiles: Available designs and future perspective
Sharma, S., Kiran, R., Azad, P., & Vaish, R. (2022) · Energy Conversion and Management · doi:10.1016/j.enconman.2022.115272 · Cited by 194 · see citing works
Extrinsic contributions to piezoelectric Rayleigh behavior in morphotropic PbTiO3-BiScO3
Tutuncu, G., Forrester, J. S., Chen, J., & Jones, J. L. (2017) · Acta Materialia · doi:10.1016/j.actamat.2017.07.032 · Cited by 34 · see citing works
Self-citation
- Authors
- Pramanick, A., Damjanovic, D., Nino, J. C., & Jones, J. L.
- Affiliations
- University of Florida (US)
- Corresponding author
- Jones, Jacob L.
- Venue
- Journal of the American Ceramic Society
- Publisher
- Wiley
- Published
- 2009-09-25
- Volume
- 92
- Issue
- 10
- Pages
- 2291-2299
- ISSN
- 0002-7820 (ISSN-L)
- 1551-2916
- OpenAlex
- W2146032806
- Cited by
- 80
- References
- 32
- Citations by year
- 2026: 2 · 2025: 3 · 2024: 4 · 2023: 2 · 2022: 8 · 2021: 7 · 2020: 4 · 2019: 2 · 2018: 2 · 2017: 6 · 2016: 2 · 2015: 6 · 2014: 10 · 2013: 7 · 2012: 6
- FWCI
- 2.42
- Type
- journal article
- Language
- en
- Open access
- green
- infoscience.epfl.ch
- Locations
- Journal of the American Ceramic Society (publishedVersion)
- Infoscience (Ecole Polytechnique Fédérale de Lausanne) (submittedVersion)
- Infoscience (Ecole Polytechnique Fédérale de Lausanne) (submittedVersion, cc-by-nc-nd)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Ferroelectric and Piezoelectric Materials
- Physical Sciences › Engineering › Biomedical Engineering › Dielectric materials and actuators
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Multiferroics and related materials
- Keywords
- lead zirconate titanate, PZT ceramics, inverse piezoelectric effect, piezoelectric nonlinearity, Rayleigh law, domain wall motion, rhombohedral phase, tetragonal phase, morphotropic phase boundary, lanthanum doping, iron doping, higher harmonics, piezoelectric loss
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
