Multiscale Characterization and Model for the Dynamic Behavior of Ferroelectric Materials Using Fractional Operators
Résumé
Fractional operators are well adapted to model dynamic dielectric losses of ferroelectric materials. Where usual integer derivative operators are always limited to a relatively weak frequency bandwidth, an approach based on fractional derivatives provides good simulation results even beyond working frequency of industrial systems. In this article, we determined the link between a high excitation (> 2 kV/mm), weak frequency (< 100 Hz) dynamic dielectric fractional hysteresis model and the weak excitation stress level (< 5 V/mm) but large frequency bandwidth (40 Hz < f < 40 MHz) well known as dielectric permittivity fractional models (Cole-Cole model and Havriliak-Negami). The good comparison of simulation/measure was obtained considering the same sample and the same dynamic parameters (fractional order together with nonlinear dry friction parametrization) in both cases. This allows attributing …
Domaines
MatériauxOrigine | Fichiers produits par l'(les) auteur(s) |
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