Skip to main content
SpringerLink
Log in

Method for Determining the Complete Set of Constants of the Polarized Piezoceramics for a Single Ring-Shaped Sample

  • ELECTROMAGNETIC MEASUREMENTS
  • Published:
Measurement Techniques Aims and scope

Using the ANSYS finite element modeling software package, Russian and foreign methods for determining the constants (modules) of piezoceramics presented in regulatory documents are analyzed. A machine experiment was conducted in which the constants of piezoceramics are entered into a program where the boundary-value problem for an element of the selected size is solved and the resonant and antiresonance frequencies are determined numerically. A method for determining the complete set of ten compatible piezoceramic modules has been developed and theoretically justified. In the presented method, only one sample of piezoceramics in the form of a ring with various electrodes is involved. A scheme for determining the complete set of compatible constants of piezoceramics is described. The proposed method is based on the theoretical foundations of electrical engineering and the solution of electroelasticity problems. It is shown that the use of only one sample instead of four to determine the complete set of compatible constants of piezoceramics increases the accuracy of measuring elastic moduli, since there are no errors caused by the dispersion of the properties of samples of various shapes in sintering and polarization processes, and measurements are simplified.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.

Similar content being viewed by others

References

  1. V. M. Sharapov, M. I. Musienko, and E. V. Sharapova, Piezoelectric Sensors, Tekhnosfera, Moscow (2006). 892

    Google Scholar 

  2. M. V. Bogush, Design of Piezoelectric Sensors Based on Spatial Electrothermoelastic Models, Tekhnosfera, Moscow (2014).

    Google Scholar 

  3. L. A. Bessonov, Theoretical Foundations of Electrical Engineering. Electromagnetic Field Theory, Yurait, Moscow (2014).

    Google Scholar 

  4. V. A. Akopyan, Defi nition of Constants for Piezoceramic Materials, Nova Science Publ., New York (2010).

    Google Scholar 

  5. N. Pérez, M. Andrade, F. Buiochi, and J. Adamowski, “Identifi cation of elastic, dielectric, and piezoelectric constants in piezoceramic disks,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 57, 2772–2783 (2010), DOI: https://doi.org/10.1109/ TUFFC.2010.17517.

  6. V. L. Zemlyakov, “Measurement of the piezoelectric module by the active component of the conductivity of the piezoceramic element,” Izmer. Tekhn., No. 8, 64–66 (2009).

    Google Scholar 

  7. V. Y. Topolov and C. R. Bowen, “Inconsistencies of the complete sets of electromechanical constants of relaxor-ferroelectric single crystals,” J. Appl. Phys., 109, No. 9, 94–107 (2011), DOI: https://doi.org/10.1063/1.3581117.

    Article  Google Scholar 

  8. H. Wang and W. Cao, “Determination of full set material constants of piezoceramics from phase velocities,” J. Appl. Phys., 92, No. 8, 4578–4583 (2002), DOI: https://doi.org/10.1063/1.1505998.

    Article  ADS  Google Scholar 

  9. N. Pérez, F. Buiochi, M. A. B. Andrade, and J. C. Adamowski, “Numerical characterization of piezoceramics using resonance curves,” Materials (Basel), 9, No. 2, 71 (2016), DOI: https://doi.org/10.3390/ma902007.

  10. S. Li, L. Zheng, and W. Cao, “Determination of full set material constants of [011] c poled 0.72 Pb (Mg1/3Nb2/3) O3-0.28 PbTiO3 single crystal from one sample,” Appl. Phys. Lett., 105, No. 1, 012901 (2014), DOI: https://doi.org/10.1063/1. 4886765

  11. Patent 2629927 RF, IPC GOIN 29/12 (2006.1), “The method for determining the elastic compliance S11E, S12E, S13E, S33E and piezoelectric moduli on one sample in the form of a disk,” Izobret. Polezn. Modeli, No. 25 (2017).

  12. Patent 2663271 RF, IPC GOIN 29/12 (2006.1), “A method for measuring the complete set of moduli of piezoelectric ceramics on one sample in the form of a ring,” Izobret. Polezn. Modeli, No. 22 (2018).

  13. H. Daneshpajooh, H. N. Shekhani, M. Choi, and K. Uchino, “New methodology for determining the dielectric constant of a piezoelectric material at the resonance frequency range,” J. Am. Ceram. Soc., 1–9 (2017), DOI: 10.1111/ jace.15338.

  14. M. Maeda, H. Hiroyuki, M. Washisira, and S. Ikuo, “Measurements of complex materials constants of piezoelectric ceramics: Radial vibrational mode of a ceramic disk,” J. Am. Ceram. Soc., 28, No. 1, 133–38 (2017), DOI: https://doi.org/10.1016/j. jeurceramsoc.2007.05.021.

Download references

Author information

Authors and Affiliations

  1. Don State Technical University, Rostov-on-Don, Russia

    V. V. Madorsky & I. E. Rogov

Authors
  1. V. V. Madorsky
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. E. Rogov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to V. V. Madorsky or I. E. Rogov.

Additional information

Translated from Izmeritel’naya Tekhnika, No. 10 pp. 35–40, October, 2019.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Madorsky, V.V., Rogov, I.E. Method for Determining the Complete Set of Constants of the Polarized Piezoceramics for a Single Ring-Shaped Sample. Meas Tech 62, 885–892 (2020). https://doi.org/10.1007/s11018-020-01709-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11018-020-01709-z

Keywords

Search

Navigation