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

Benjamin Ducharne (1) , Grzegorz Litak (2, 1, 3) , Bin Zhang (4) , Bhaawan Gupta (1, 5)

1 LGEF - Laboratoire de Génie Electrique et Ferroélectricité
2 Lublin University of Technology
3 AGH UST - AGH University of Science and Technology [Krakow, PL]
4 Shandong University
5 ELyTMaX

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: Matériaux

Benjamin Ducharne, Grzegorz Litak, Bin Zhang, Bhaawan Gupta. Multiscale Characterization and Model for the Dynamic Behavior of Ferroelectric Materials Using Fractional Operators. Kenan Taş; Dumitru Baleanu; J. A. Tenreiro Machado. Mathematical Methods in Engineering. Applications in Dynamics of Complex Systems, 24, Springer, pp.139-152, 2019, Nonlinear Systems and Complexity, 978-3-319-90971-4. ⟨10.1007/978-3-319-90972-1_10⟩. ⟨hal-02051553⟩