Abstract

Balance equations and the boundary conditions of elastic dielectrics are derived through a variational principle in which, to include the spatial and frequency dispersion effects, the first and second gradients of the deformation gradient and the polarization gradient are chosen as independent variables in addition to the deformation gradient and polarization. The polarization inertia effect is also included in the functional. The coupling of soft-optic modes with the displacement field is investigated and the results are particularized for potassium tantalate (KTaO 3). The numerical values of some of its material constants and its polarization inertia are calculated. Using an approximate strain energy density function for α-quartz, the material coefficient matrices are obtained and tabulated. The acoustical, optical and infrared activities of α-quartz are examined and the results are compared with those available in the literature.

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