Abstract
Equations are given for calculating mechanical stress as a function of strain and electric field. The method described for calculating the bending deflection of the free end of a cantilevered, homogeneous, piezoceramic wafer can be used to determine the true polarization distribution created in the fabrication of piezoelectric transducers.
Similar content being viewed by others
References
B. Ts. Shpital'nik, “Polarized surface layers in ferroelectrics of the barium titanate type,” Author's Abstract of Dissertation for the Degree of Candidate of Physicomathematical Sciences [in Russian], Rostov-on-Don (1975).
A. Yu. Kudzin, “Electrophysical phenomena in single crystals of barium titanate solid solutions,” Author's Abstract of Dissertation for the Degree of Doctor of Physicomathematical Sciences [in Russian], Voronezh (1978).
A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, Macmillan, London (1927); 4th ed., Dover, New York (1944).
S. I. Pugachev (ed.), Piezoceramic Transducers: Handbook of Methods of Measuring and Calculating the Parameters [in Russian], Sudostroenie, Leningrad (1984).
H. A. Kunkel and B. A. Auld, Ferroelectrics,51, Nos. 1/2, 99 (1983).
I. N. Ermolov (ed.), Ultrasonic Transducers for Nondestructive Testing [in Russian], Mashinostroenie, Moscow (1986), p. 118.
K. Uchino et al., Jpn. J. Appl. Phys.,26, No. 7, 1046 (1987).
V. M. Bogomol'nyi, Izmer. Tekh., No. 9, 39 (1992).
D. S. Drumheller and A. Kalnins, J. Acoust. Soc. Am.,47, No. 5, 1343 (1970).
V. A. Boriseiko, V. T. Grinchenko, and A. F. Ulitko, Prikl. Mekh.,12, No. 2, 26 (1976).
I. E. Tamm, Fundamentals of the Theory of Electricity [in Russian], Nauka, Moscow (1976).
C. E. Land, G. W. Smith, and C. R. Westgate, IEEE Trans. Sonics Ultrason., SU-41, No. 1, 8 (1964).
D. Berlincourt, J. Acoust. Soc. Am.,36, No. 8, 515 (1964).
S. P. Timoshenko, J. M. Lessels, and J. M. Mech, Applied Elasticity, Westinghouse Tech. Night School Press, East Pittsburgh (1925), p. 91.
Additional information
Translated from Izmeritel'naya Tekhnika, No. 6, pp. 52–54, June, 1995.
Rights and permissions
About this article
Cite this article
Bogomol'nyi, V.M. Calculation of nonuniformly thickness-polarized piezoceramic transducers. Meas Tech 38, 683–686 (1995). https://doi.org/10.1007/BF00991120
Issue Date:
DOI: https://doi.org/10.1007/BF00991120