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The response of a single crystal to the application of low constraint amplitudes (electric field E or mechanic stress σ) is generally depicted by the empirical Rayleigh law. According to the model describing the motion of the domain walls and presented else where in this congress, we establish, in the limit of the Rayleigh domain, the variation of the dielectric constant ε and of the piezoelectric...
The ferroïc materials exhibit a nonlinear behavior largely due to the motion of domain walls. To well understand the resulting properties, it is necessary to develop a model describing these movements. In this work, we establish the motion equation of one domain wall induced by application of an electric field E or of a mechanical stress σ. The effects of a magnetic field could also be envisaged....
The characterizations of ferroïc materials are often realized by measuring the minor loops. The polarization P and/or the strain S are reported as a function of the ac electric field E and/or the ac mechanical stress σ. The slope of the loop depends on the real part of ε or d (respectively the dielectric constant and the piezoelectric coefficient) and its opening is related to the imaginary part of...
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