Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Article
  • Published:

Longitudinal strain enhancement and bending deformations in piezoceramics

Abstract

Piezoelectric materials directly convert between electrical and mechanical energies. They are used as transducers in applications such as nano-positioning and ultrasound imaging. Improving the properties of these devices requires piezoelectric materials capable of delivering a large longitudinal strain on the application of an electric field. A large longitudinal strain of more than 1% is generally anticipated in suitably oriented single crystals of specific compositions of ferroelectric materials1. Polycrystalline piezoceramics typically show a longitudinal strain of approximately 0.2–0.4%. We demonstrate that when the thickness of a polycrystalline piezoceramic is reduced to such an extent that a large fraction of the grains are in the triaxial–biaxal crossover regime, the ___domain-switching fraction increases considerably. If the positive and the negative surfaces of the piezoceramic respond to electric fields symmetrically, as in the classical PbZrxTixO3, a longitudinal strain of approximately 1% can be achieved in a 0.2 mm disc of the morphotropic phase boundary composition (a 300% increase from a thickness of 0.7 mm). We show that oxygen vacancies in piezoceramics cause asymmetrical switching at the positive and negative surfaces, which causes thin piezoceramics to bend. We expect these findings will encourage further engineering of these mechanisms across different piezoelectric material systems, opening new applications for electromechanical actuation.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Fig. 1: Longitudinal strain enhancement in the triaxial–biaxial crossover regime in PZT.
Fig. 2: Defects, asymmetric switching and electrobending.
Fig. 3: Defect creation and electrobending in PZT.

Similar content being viewed by others

Data availability

The authors declare that the data supporting the findings of this study are available within the paper and its Supplementary Information files.

References

  1. Park, S.-E. & Shrout, T. R. Ultrahigh strain and piezoelectric behavior in relaxor based ferroelectric single crystals. J. Appl. Phys. 82, 1804 (1997).

    Article  ADS  CAS  MATH  Google Scholar 

  2. Du, X., Belegundu, U. & Uchino, K. Crystal orientation dependence of piezoelectric properties in lead zirconate titanate: theoretical expectation for thin films. Jpn. J. Appl. Phys. 36, 5580–5587 (1997).

    Article  ADS  CAS  MATH  Google Scholar 

  3. Li, J. Y., Rogan, R. C., Üstündag, E. & Bhattacharya, K. Domain switching in polycrystalline ferroelectric ceramics. Nat. Mater. 4, 776–781 (2005).

    Article  ADS  CAS  PubMed  Google Scholar 

  4. Hall, D. A., Steuwer, A., Cherdhirunkorn, B., Mori, T. & Withers, P. J. Analysis of elastic strain and crystallographic texture in poled rhombohedral PZT ceramics. Acta Mater. 54, 3075 (2006).

    Article  ADS  CAS  MATH  Google Scholar 

  5. Jones, J. L., Hoffman, M. & Bowman, K. J. Saturated ___domain switching textures and strains in ferroelastic ceramics. J. Appl. Phys. 98, 024115 (2005).

    Article  ADS  Google Scholar 

  6. Oddershede, J., Hossain, M. J. & Daniels, J. E. Maximising electro-mechanical response by minimising grain-scale strain heterogeneity in phase-change actuator ceramic. Appl. Phys. Lett. 109, 092901 (2016).

    Article  ADS  Google Scholar 

  7. Hao, J., Li, W., Zhai, J. & Chen, H. Progress in high-strain perovskite piezoelectric ceramics. Mater. Sci. Eng.: R: Rep. 135, 1–57 (2019).

    Article  MATH  Google Scholar 

  8. Huang Fu, G. et al. Giant electric field–induced strain in lead-free piezoceramics. Science 378, 1125–1130 (2022).

    Article  ADS  MATH  Google Scholar 

  9. Lai, L. et al. Giant electrostrain in leadfree textured piezoceramics by defect dipole design. Adv. Mater. 35, 2300519 (2023).

    Article  CAS  Google Scholar 

  10. Wang, B., Huangfu, G., Zheng, Z. & Guo, Y. Giant electric field-induced strain with high temperature-stability in textured KNN-based piezoceramics for actuator applications. Adv. Funct. Mater. 33, 221464 (2023).

    MATH  Google Scholar 

  11. Feng, W. et al. Heterostrain-enabled ultrahigh electrostrain in lead-free piezoelectric. Nat. Commun. 13, 5086 (2022).

    Article  ADS  CAS  PubMed  PubMed Central  MATH  Google Scholar 

  12. Luo, H. et al. Achieving giant electrostrain of above 1% in (Bi,Na)TiO3-based lead-free piezoelectrics via introducing oxygen-defect composition. Sci. Adv. 9, 7078 (2023).

    Article  MATH  Google Scholar 

  13. Jia, Y. et al. Giant electro-induced strain in lead-free relaxor ferroelectrics via defect engineering. J. Eur. Ceram. Soc. 43, 947 (2023).

    Article  CAS  MATH  Google Scholar 

  14. Li, W. et al. Giant electro-strain nearly 1% in BiFeO3-based lead-free piezoelectric ceramics through coupling morphotropic phase boundary with defect engineering. Mater. Today Chem. 26, 101237 (2022).

    Article  CAS  Google Scholar 

  15. Narayan, B. et al. Electrostrain in excess of 1% in polycrystalline piezoelectrics. Nat. Mater. 17, 427 (2018).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  16. Adhikary, G. D., Singh, D. N., Tina, G. A., Muleta, G. J. & Ranjan, R. Ultrahigh electrostrain >1% in lead-free piezoceramics: role of disk dimension. J. Appl. Phys. 134, 054101 (2023).

    Article  ADS  CAS  Google Scholar 

  17. He, X. et al. Ultra-large electromechanical deformation in lead-free piezoceramics at reduced thickness. Mater. Horiz. 11, 1079–1087 (2024).

    Article  CAS  PubMed  MATH  Google Scholar 

  18. Wang, J., Wang, B., Zhang, H., Zhang, S. & Guo, Y. Ultrahigh electrobending deformation in lead-free piezoelectric ceramics via defect concentration gradient design. Adv. Mater. 36, e2404682 (2024).

    Article  PubMed  MATH  Google Scholar 

  19. Paterson, A. R. et al. Relaxor-ferroelectric transitions: sodium bismuth titanate derivatives. MRS Bull. 43, 600–606 (2018).

    Article  ADS  CAS  Google Scholar 

  20. Holgado, J. P., Munuera, G., Espinós, J. P. & González-Elipe, A. R. XPS study of oxidation processes of CeOx defective layers. Appl. Surf. Sci. 158, 164–171 (2000).

    Article  ADS  CAS  Google Scholar 

  21. Hanzig, J. et al. Migration-induced field-stabilized polar phase in strontium titanate single crystals at room temperature. Phys. Rev. B 88, 024104 (2013).

    Article  ADS  MATH  Google Scholar 

  22. Khanbabaee, B. et al. Large piezoelectricity in electric-field modified single crystals of SrTiO3. Appl. Phys. Lett. 109, 222901 (2016).

    Article  ADS  Google Scholar 

  23. He, L. & Vandebilt, D. First-principles study of oxygen-vacancy pinning of ___domain walls in PbTiO3. Phys. Rev. B 68, 134103 (2003).

    Article  ADS  Google Scholar 

  24. Kitanaka, Y., Noguchi, Y. & Miyayama, M. Oxygen-vacancy-induced 90°-___domain clamping in ferroelectric Bi4Ti3O12 single crystals. Phys. Rev. B 81, 094114 (2010).

    Article  ADS  Google Scholar 

  25. Pramanick, A., Damjanvic, D., Daniels, J. E., Nino, J. C. & Jones, J. L. Origins of electromechanical coupling in polycrystalline ferroelectrics during subcoercive electric loading. J. Am. Ceram. Soc. 94, 293 (2011).

    Article  CAS  Google Scholar 

  26. Vaughan, G. B. et al. ID15A at the ESRF–a beamline for high speed operando X-ray diffraction, diffraction tomography and total scattering. J. Synchrotron Radiat. 27, 515 (2020).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  27. Raimondi, P. et al. The extremely brilliant source storage ring of the European Synchrotron Radiation Facility. Commun. Phys. 6, 82 (2023).

    Article  CAS  PubMed  PubMed Central  MATH  Google Scholar 

  28. Ashiotis, G. et al. The fast azimuthal integration Python library: pyFAI. J. Appl. Crystallogr. 48, 510 (2015).

    Article  ADS  CAS  PubMed  PubMed Central  MATH  Google Scholar 

Download references

Acknowledgements

R.R. and G.D.A. acknowledge the Science and Engineering Research Board for financial assistance (Grant No. CRG/2021/000134). R.R. gratefully acknowledges D. Damjanovic for fruitful discussion. D.N.S. gratefully acknowledges the Dr. D. S. Kothari fellowship of the University Grant Commission (UGC), India (Award No. F.4-2/2006 (BSR)/PH/20–21/0100). M. gratefully acknowledges UGC, India for awarding the JRF and SRF fellowships (Ref No. 201610120431). The European Synchrotron Radiation Facility is acknowledged for provision of beamtime under proposal number MA-6069 (https://doi.org/10.15151/ESRF-ES-1465100316).

Author information

Authors and Affiliations

Authors

Contributions

G.D.A. and R.R. led the overall work, planned and executed most of the experiments (in situ laboratory XRD under a field, XPS, SE and PE measurements), and analysed the data. L.G. and J.D. imaged the disc-bending. J.D. and H.L. performed the FEM modelling. R.R., G.D.A. and J.D. discussed the overall results and participated in writing the manuscript. G.D.A., A.A., G.J.M., M., R.P.S., D.N.S. and G.A.T. prepared piezoelectric specimens with different compositions and measured their physical properties. S.C. and J.D. planned the depth scanning measurements using high-energy synchrotron X-rays, and S.C., J. D. and R.R. conducted the experiments at the European Synchrotron Radiation Facility.

Corresponding author

Correspondence to Rajeev Ranjan.

Ethics declarations

Competing interests

J.D. is a director of Citrus Pty Ltd, which produces the system for in situ diffraction and imaging measurements under an applied electric field.

Peer review

Peer review information

Nature thanks Nan Zhang and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. Peer reviewer reports are available.

Additional information

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary information

Supplementary Information

Supplementary Table 1 and Figs. 1–26.

Peer Review File

Supplementary Video 1

Bending video of BaTiO3.

Supplementary Video 2

Bending of BFPT-La.

Supplementary Video 3

Bending of KNSN3.

Supplementary Video 4

Bending of NBT-10BT.

Supplementary Video 5

Bending of PZT52VA.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Das Adhikary, G., Adukkadan, A., Muleta, G.J. et al. Longitudinal strain enhancement and bending deformations in piezoceramics. Nature 637, 333–338 (2025). https://doi.org/10.1038/s41586-024-08292-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/s41586-024-08292-1

This article is cited by

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing