4 June 1999 Self-consistent model for switching in polycrystalline ferroelectrics electrical polarization only
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Abstract
In this paper a self-consistent model for the switching of a ferroelectric polycrystal will be presented. We will assume that the polycrystal is made up of spherical grains or crystallites. Each crystallite is made up of two domain types separated by 180 degree domain walls. The linear dielectric properties of the domains are assumed to be isotropic. When the electric field in the crystallite reaches a critical level the domain walls are allowed to sweep through the crystallite. This gradual domain wall motion causes the tangential dielectric permittivity of the crystallite to be transversely isotropic. Each spherical crystallite is given a distinct orientation and embedded in a matrix material. The tangential dielectric permittivity of the matrix is taken to be consistent with the overall averaged incremental response of the crystallites taking into account the constraint or depolarization fields imposed by the matrix. Hysteresis loops and switching surfaces are presented for the polycrystal.
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Chad M. Landis, Robert M. McMeeking, "Self-consistent model for switching in polycrystalline ferroelectrics electrical polarization only", Proc. SPIE 3667, Smart Structures and Materials 1999: Mathematics and Control in Smart Structures, (4 June 1999); doi: 10.1117/12.350072; https://doi.org/10.1117/12.350072
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