Local gradient theory of dielectrics incorporating polarization inertia and flexodynamic effect

Abstract A higher-grade theory of non-ferromagnetic thermo-elastic dielectrics which incorporates the local mass displacement, heat flux gradient, polarization inertia, and flexodynamic effects is developed. The process displacement associated with changes in material microstructure. Using fundamental principles continuum mechanics, electrodynamics, non-equilibrium thermodynamics, gradient-type constitutive equations are derived. Due to accounting for rheological equation vector obtained. In balance linear momentum, an additional term second time derivative appears comparison classical theory. This controls influence dynamic flexoelectric effect on mechanical motion dielectric solids. propagation a plane harmonic wave analyzed within context developed It shown that allows capturing experimentally observed phenomenon high-frequency dispersion longitudinal elastic wave. may be useful modeling coupled processes nanodielectrics heterogeneous polarized systems.