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A review of three-dimensional mathematical models describing the irreversible
processes of polarization of polycrystalline ferroelectrics is given. Experimental works and
most frequently used models for describing hysteresis properties are considered. These
include well-known phenomenological and micromechanical models. Some of them allow
describing the nonlinear response under the action of electrical and mechanical loads. For
each of the models, physical and mathematical features, basic formulas and calculating
algorithms are presented. The main advantages and disadvantages of each of the presented
models are noted. Large and small loops of dielectric and deformation hysteresis are shown.
A conclusion is drawn about the unresolved problems in the field of modeling of
polycrystalline ferroelectrics - ferroelastics. The list of works on the review topic is given.
Keywords: mathematical models, ferroelectrics, ferroelastics, hysteresis loops, phenomenological models, micromechanical models |
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