Calculation of quasi-static electromechanical coupling coefficients for electrostrictive ceramic materials

Author

Hom, C.L. ; Pilgrim, Steven M. ; Shankar, Natarajan ; Bridger, Keith ; Massuda, Mona ; Winzer, Stephen R.

Author_Institution

ASW & Smart Mater. Dept., Martin Marietta Labs., Baltimore, MD, USA

Volume

41

Issue

4

fYear

1994

fDate

7/1/1994 12:00:00 AM

Firstpage

542

Lastpage

551

Abstract

The quasi-static coupling coefficients, k/sub 13/ and k/sub 33/, for electrostrictive ceramics are computed analytically. The calculation is based on a three-dimensional constitutive relation that models both electrostriction and nonlinear dielectric behaviors. The results show that the coupling factors depend on the amplitudes of the applied ac field and the dc bias, as well as the mechanical prestress. For an actuator without bias voltage or prestress, the coupling coefficients approach an asymptotic value with increasing electric field. The primary coefficients, k/sub 13/ and k/sub 33/, for a lead magnesium niobate, Pb(Mg/sub 1/3/Nb/sub 2/3/)O/sub 3/-PbTiO/sub 3/BaTiO/sub 3/(PMN-PT-BT), based relaxor ferroelectric are computed as an example. The results show that the coupling coefficients for PMN-PT-BT materials are roughly comparable with those of existing piezoelectrics. These coefficients are important parameters for material section and power source design for transducer devices.<>

Keywords

barium compounds; ceramics; electric actuators; electrostriction; ferroelectric devices; ferroelectric materials; lead compounds; PMN-PbTiO/sub 3/-BaTiO/sub 3/; PbMgO/sub 3/NbO/sub 3/-PbTiO/sub 3/BaTiO/sub 3/; PbMgO3NbO3-PbTiO3-BaTiO3; applied ac field; coupling coefficients; dc bias; electrostriction; electrostrictive ceramic materials; mechanical prestress; nonlinear dielectric behavior; power source design; quasi-static electromechanical coupling coefficients; relaxor ferroelectric; three-dimensional constitutive relation; transducer devices; Actuators; Ceramics; Dielectrics; Electric fields; Electrostriction; Ferroelectric materials; Lead; Magnesium; Niobium compounds; Voltage;

fLanguage

English

Journal_Title

Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on

Publisher

ieee

ISSN

0885-3010

Type

jour

DOI

10.1109/58.294116

Filename

294116