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We made a theoretical study of the carrier distribution and electromechanical fields in a free piezoelectric semiconductor rod of crystals of class 6 mm. Simple analytical expressions for the carrier distribution, electric potential, electric field, electric displacement, mechanical displacement, stress, and strain were obtained from a 1D nonlinear model reduced from the 3D equations for piezoelectric...
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,...
On the basis of linear theory of three-dimensional piezoelasticity, the propagation of elastic waves in piezoelectric cylindrical waveguides with sectorial cross-section is analyzed. Dispersion relations in analytical forms are obtained for various boundary conditions. Numerical results including real, imaginary and complex branches of full dispersion spectra are presented to show the essential characteristics...
Bilayer systems have many important and emerging applications. In this paper, a bilayer system composed of a relatively stiff piezoelectric thin film bonded to an elastomeric thick substrate of a compliant material is studied. The couplings among elastic, electric and thermal fields are considered, when the bilayer system is subjected to a temperature variation, and the piezoelectric thin film is...
We perform a theoretical analysis on electrically forced, coupled thickness-shear and flexural vibrations of rectangular piezoelectric plates of monoclinic crystals. Mindlin's first-order theory for piezoelectric plates is used. Two types of boundary conditions are considered. Trigonometric series solutions are obtained. The motional capacitance of the plates and its frequency dependence under a time-harmonic...
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 laminated piezoelectric cantilever actuators under constant voltage are investigated. Based on partial differential equations for the plane problem of piezoelectric materials, the stress function and electric displacement function are assumed to be undetermined polynomials, which can be acquired through successive integrations. The analytical solutions are then obtained, with the integral constants...
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...
The focus of this paper is to study an infinite composite hollow cylinder consisting of a homogeneous piezoelectric layer and a functionally graded elastic layer. A general linear spring-layer model is employed to characterize the interface between the two layers, which may be perfect or imperfect. Directly based on the three-dimensional exact equations of elasticity and piezoelasticity, the state...
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