<p>Using the Stroh octet formalism, we study the problem of an elliptical incompressible liquid inclusion embedded in an infinite piezoelectric matrix under a uniform remote electromechanical loading. The liquid inside the inclusion can be electrically conducting, electrically insulating or isotropic dielectric. Closed-form solutions to the problem are derived. Furthermore, real-form expressions for the internal uniform electroelastic field of hydrostatic stresses, strains, rigid body rotation, electric fields and electric displacements within the liquid inclusion are obtained in terms of the generalized Barnett-Lothe tensors and the fundamental piezoelectricity matrix for the anisotropic piezoelectric matrix.</p>

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An elliptical incompressible liquid inclusion in a piezoelectric matrix

  • Xu Wang,
  • Peter Schiavone

摘要

Using the Stroh octet formalism, we study the problem of an elliptical incompressible liquid inclusion embedded in an infinite piezoelectric matrix under a uniform remote electromechanical loading. The liquid inside the inclusion can be electrically conducting, electrically insulating or isotropic dielectric. Closed-form solutions to the problem are derived. Furthermore, real-form expressions for the internal uniform electroelastic field of hydrostatic stresses, strains, rigid body rotation, electric fields and electric displacements within the liquid inclusion are obtained in terms of the generalized Barnett-Lothe tensors and the fundamental piezoelectricity matrix for the anisotropic piezoelectric matrix.