Surface waves in hexagonal micropolar dielectrics

Surface waves in hexagonal micropolar dielectrics The propagation of surface waves on a dielectric half-space with hexagonal symmetry is studied on the basis of a recent modification of the micropolar theory of electroelastic continua. The model connects electric polarization to macro and micro-displacements via dipole and quadrupole densities due to the charge distribution in the continuum particle. The differential system derived in the linear wave problem accounts for coupling of acoustic modes with micro-rotational modes referred to polaritons. Bleustein–Gulyaev (BG) and Rayleigh waves are allowed in the half space and are shown to satisfy dispersion laws very similar to those obtained in the past from a phenomenological continuum theory of ferroelectrics. All the surface modes are dispersive and involve polarization via the microrotation gradient. The results prove the effectiveness of the present approach in order to represent electro-elastic coupling in dielectrics. The classical BG wave problem is recovered if microrotation gradient is neglected in the constitutive assumptions but the resulting mode is again dispersive. A similar reduction to the classical Rayleigh wave of linear elasticity allows for a flexoelectric contribution to polarization. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Solids and Structures Elsevier

Surface waves in hexagonal micropolar dielectrics

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Publisher
Elsevier
Copyright
Copyright © 2016 Elsevier Ltd
ISSN
0020-7683
eISSN
1879-2146
D.O.I.
10.1016/j.ijsolstr.2016.02.035
Publisher site
See Article on Publisher Site

Abstract

The propagation of surface waves on a dielectric half-space with hexagonal symmetry is studied on the basis of a recent modification of the micropolar theory of electroelastic continua. The model connects electric polarization to macro and micro-displacements via dipole and quadrupole densities due to the charge distribution in the continuum particle. The differential system derived in the linear wave problem accounts for coupling of acoustic modes with micro-rotational modes referred to polaritons. Bleustein–Gulyaev (BG) and Rayleigh waves are allowed in the half space and are shown to satisfy dispersion laws very similar to those obtained in the past from a phenomenological continuum theory of ferroelectrics. All the surface modes are dispersive and involve polarization via the microrotation gradient. The results prove the effectiveness of the present approach in order to represent electro-elastic coupling in dielectrics. The classical BG wave problem is recovered if microrotation gradient is neglected in the constitutive assumptions but the resulting mode is again dispersive. A similar reduction to the classical Rayleigh wave of linear elasticity allows for a flexoelectric contribution to polarization.

Journal

International Journal of Solids and StructuresElsevier

Published: Jun 1, 2016

References

  • Electrodynamics of Continua I
    Eringen, A.C.; Maugin, G.A.
  • A micromorphic electromagnetic theory
    Lee, J.D.; Chen, Y.; Eskandarian, A.
  • Electromagnetoelastic equations for ferroelectrics based on a micromorphic dielectric model
    Romeo, M.
  • Micromorphic elastic dielectrics: linear model and micropolar isotropic thin layers
    Romeo, M.

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