Multiscale Characterization and Model for the Dynamic Behavior of Ferroelectric Materials Using Fractional Operators

Abstract : 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 …
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Submitted on : Wednesday, February 27, 2019 - 7:11:01 PM
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Benjamin Ducharne, Grzegorz Litak, Bhaawan Gupta. Multiscale Characterization and Model for the Dynamic Behavior of Ferroelectric Materials Using Fractional Operators. Springer, Cham. Mathematical Methods in Engineering, pp.139-152, 2019, 978-3-319-90971-4. ⟨10.1007/978-3-319-90972-1_10⟩. ⟨hal-02051553⟩

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