Abstract

A micromorphic continuum model is exploited to derive the governing equations for the electromagnetoelastic field superposed to a ferroelectric configuration of polarizable dielectrics. The microcontinuum structure accounts for charge microdensity to obtain dipole and quadrupole densities and their evolution equations. These quantities enter as arguments of the constitutive tensors, besides the microstrain measures. A strain-free polarized initial state is considered, and a set of non-linear equations is derived for the superposed field. These equations are linearized to show a simple relation between microstrain and incremental polarization. The case of micropolar continua is analyzed to compare the present model with the formulation of the same problem, obtained in the past on the basis of a continuum theory of electrodynamics.

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