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The plane problem of piezoelectric curved beam which is polarized in the radial direction is considered within the frame of state space. The piezoelectric material is assumed to be transverse isotropic and all the elastic stiffness, piezoelectric and dielectric constants are constants. The symplectic method uses the displacements, the electrical potential function and their conjugate variables (stresses,...
The symplectic method is employed to investigate the functionally graded piezoelectric beam which is polarized in the thickness direction. The material constants vary along the length in an identical exponential form. The method uses both the displacements and their conjugate stress as variables so that the problem is reformulated in a state space. Using the method of separation of variables, the...
The method of reverberation-ray matrix (MRRM) are modified and extended to the analysis of wave propagation in multilayered acoustic wave devices based on three-dimensional linear piezoelectricity. By the plane wave solution assumption, state equations are established whose solutions are expressed with unknown wave amplitudes. Within the framework of MRRM, the phase and scattering relations are properly...
This paper applies the symplectic method to solve the plane problem of functional graded piezoelectric materials (FGPM) whose elastic stiffness, piezoelectric and dielectric constants vary exponentially with the axial coordinate. After introducing the displacements (the electrical potential function) and their conjugate stress (electric displacement), the problem is formulated within the frame of...
We describe a novel and rigorous vector eigenfunction expansion of electric-type Green's dyadics for radially multi- layered uniaxial anisotropic media in terms of the modified spherical vector wave functions, which can take into account the effects of anisotropy ratio systematically. In each layer, the material constitutions e and epsiv macrmu macr are tensors and distribution of sources is arbitrary...
In this paper, a multilayered cylinder filled with metamaterials is studied. General formulas of electromagnetic fields in each region are derived using the eigenfunction expansion method. For an infinite line source, the image property is observed when the radius of this cylinder is much larger than the wavelength. The distributions of electromagnetic fields are presented when a line source is placed...
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