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A theory of ferroelectric hysteresis with a superimposed stress

Authors: W. F. Li; G. J. Weng;

A theory of ferroelectric hysteresis with a superimposed stress

Abstract

Based on the mechanism of domain switch, a micromechanics-based model is developed to calculate the hysteresis loop of ferroelectric ceramics under combined electromechanical loading. The development makes use of an extension of the Eshelby-type elastic inclusion problem to a heterogeneous electromechanically coupled ferroelectric medium with distribution of eigenstrain and eigenpolarization generated by domain switch. The ferroelectric ceramic at a generic state is considered to consist of the parent domain and the switched domains whose volume fraction fp, continues to evolve under an increasing electromechanical load. At a given level of applied stress and electric field, the volume fraction of the new domain is determined from a kinetic equation that is derived from consideration of the thermodynamic driving force caused by the reduction of Gibbs free energy and the resistance force associated with the domain wall movement. The theory developed is used first to simulate the hysteresis behavior of a PZT-51 without any superimposed stress, and then with the derived material constants, to independently predict the influence of a superimposed compression. It is found that, consistent with experimental observations, the hysteresis loops flatten out under the axial compression, but that the loops elongate under a transverse compression. Both the remanent polarization and coercive field also tend to decrease with the compressive force regardless of how the compression is applied.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
35
Average
Top 10%
Top 10%
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