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Mathematics and Mechanics of Solids
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Dynamic Behavior of a Ferroelectric Actuator

Bo Deng

Qing Jiang

Department of Mathematics, Department of Engineering Mechanics, University of Nebraska-Lincoln, Lincoln, NE 68588

The authors study the effect of polarization switching on the dynamic behavior of a model ferroelectric actuator using the system dynamics approach. The analysis indicates that the stress resulting from polarization switching always oscillates at a frequency slightly lower than the system resonance frequency if the applied electric field is harmonic and is of a frequency lower than one-half of the system resonance frequency, and that the oscillating frequency is determined by the intrinsic properties of the system. In the case that the frequency of the applied electric field is larger than one-half of the system resonance frequency, the stress oscillates at twice the frequency of the applied electric field. Furthermore, the oscillating stress resulting from polarization switching has a larger amplitude than the stress occurring in the absence of polarization switching. The authors relate these results to the experimental observations that the fatigue life of ferroelectric ceramics is shortened substantially when polarization switching takes place.

Mathematics and Mechanics of Solids, Vol. 4, No. 1, 89-107 (1999)
DOI: 10.1177/108128659900400106


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