The elastic dielectric |
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| Authors: | HC Wong J Grindlay |
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| Institution: | 1. Physics Department , University of Waterloo , Waterloo, Ontario, Canada;2. Applied Mathematics Department , University of Waterloo , Waterloo, Ontario, Canada;3. Physics Department , University of Waterloo , Waterloo, Ontario, Canada |
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| Abstract: | Macroscopic field equations, boundary conditions and equations of state are derived for the non-linear, macroscopic elastic and dielectric response of an insulator. A centrosymmetric polynomial representation of order four is introduced for the energy density; the equations of state for the electric field and stress tensor are then deduced as polynomials of degree three in the displacement gradients and electric displacement field. The results are applied to the special case of m3m material symmetry. A finite, point-charge model of a centrosymmetric ionic crystal is introduced and used to determine 0°K microscopic expressions for the electric field and stress tensor equation of state coefficients introduced in the macroscopic analysis. The results are used to calculate the full set of second and third-order non-linear coefficients for NaI, based on a Born-Mayer potential and the 4·2°K elastic stiffness data of Claytor and Marshall. |
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