A Two-Dimensional Theory for High-Frequency Vibrations of Piezoelectric Crystal Plates with or Without Electrodes

Lee, P.C.Y.; Syngellakis, S.; Hou, Janpu

doi:10.1109/ultsym.1986.198763

Cited by 19 publications

(22 citation statements)

References 20 publications

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“…Two-dimensional equations for thin piezoelectric dielectric plates have been developed (Mindlin, 1972;Lee et al, 1987;Tiersten, 1993;Yong et al, 1993) and proved very effective in device modeling (Wang and Yang, 2000). In this paper we study motions of thin plates of piezoelectric semiconductors.…”

Section: Introductionmentioning

confidence: 99%

Amplification of acoustic waves in piezoelectric semiconductor plates

Yang

Zhou

2005

International Journal of Solids and Structures

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Two-dimensional equations for coupled extensional, flexural and thickness-shear motions of thin plates of piezoelectric semiconductors are obtained systematically from the three-dimensional equations by retaining lower order terms in power series expansions in the plate thickness coordinate. The two-dimensional equations are specialized to crystals of 6 mm symmetry and are simplified by thickness-shear approximation. Propagation of thickness-shear waves and their amplification by a dc electric field are analyzed.

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Section: Introductionmentioning

confidence: 99%

Amplification of acoustic waves in piezoelectric semiconductor plates

Yang

Zhou

2005

International Journal of Solids and Structures

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“…In order to give more physical meaning to the shapes of stress functions, Lee et al (1987) adopted a sinusoidal thickness expansion instead of the series expansion in powers of thickness co-ordinate in deriving the two-dimensional governing equations of piezoelectric crystal plates. Yong et al (1993) developed a laminated plate theory for thickness-shear vibrations.…”

Section: Introductionmentioning

confidence: 99%

“…Yong et al (1993) developed a laminated plate theory for thickness-shear vibrations. To obtain the two-dimensional equations of motion for piezoelectric laminae in their work, the mechanical displacements and the electric potential were expanded in the series of trigonometric functions along the thickness co-ordinate, which is the identical to the method that Lee et al (1987) used. Stewart and Yong (1994) later investigated acoustic wave propagation in multilayered anisotropic piezoelectric plates through the use of transfer matrix method.…”

Section: Introductionmentioning

confidence: 99%

Dispersion relations for cylindrical bending motions of polarized piezoceramic bimorph plates with two facing edges free

Seok

2005

International Journal of Solids and Structures

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“…Exact analysis from threedimensional equations is possible in idealized special cases. Two-dimensional structural theories for thin piezoelectric insulator plates have been developed [11][12][13] and proved very effective in real device modeling as discussed by Wang and Yang [14]. In this paper we study motions of thin plates of laminated piezoelectric semiconductors.…”

Section: Introductionmentioning

confidence: 99%

Amplification of acoustic waves in laminated piezoelectric semiconductor plates

Yang

Turner

2004

Archive of Applied Mechanics

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Two-dimensional equations for coupled extensional, flexural and thickness-shear motions of laminated plates of piezoelectric semiconductors are obtained systematically from the three-dimensional equations by retaining lower order terms in power series expansions in the plate thickness coordinate. The equations are used to analyze extensional waves in a composite plate of piezoelectric ceramics and semiconductors. Dispersion and dissipation due to semiconduction as well as wave amplification by a dc electric field are discussed. IntroductionPiezoelectric materials can be either dielectrics or semiconductors [1]. An acoustic wave propagating in a piezoelectric crystal is usually accompanied by an electric field. When the crystal is also semiconducting, the field produces currents and space charge resulting in dispersion and acoustic loss [2]. The interaction between a traveling acoustic wave and mobile charges in piezoelectric semiconductors is called the acoustoelectric effect which is a special case of a more general phenomenon which may be called wave-particle drag [3]. It was also found that an acoustic wave traveling in a piezoelectric semiconductor can be amplified by application of a dc electric field [4]. Acoustoelectric effect and acoustoelectric amplification of acoustic waves have led to the development of acoustoelectric devices [5][6][7][8]. The basic behavior of piezoelectric semiconductors and acoustoelectric effect can be described by a linear phenomenological theory [2, 4]. More sophisticated nonlinear theories for deformable semiconductors have also been developed [9, 10]. Acoustoelectric effect can also be produced in composites of piezoelectric insulators and nonpiezoelectric semiconductors [8]. In these composites the acoustoelectric effect is due to the combination of the piezoelectric effect and semiconduction in each component phase of the composite. Laminated plates of piezoelectric insulators and nonpiezoelectric semiconductors can be used to produce acoustoelectric effect for device applications. Due to anisotropy and field coupling, modeling of plate piezoelectric devices, single and/or multi-layered, is usually very challenging. Exact analysis from threedimensional equations is possible in idealized special cases. Two-dimensional structural theories for thin piezoelectric insulator plates have been developed [11][12][13] and proved very effective in real device modeling as discussed by Wang and Yang [14]. In this paper we study motions of thin plates of laminated piezoelectric semiconductors. The three-dimensional equations of linear piezoelectric semiconductors are summarized in Sect. 2. Two-dimensional equations for laminated plates are derived systematically from the three-dimensional equations in Sect. 3 and are truncated to a first-order theory for coupled extension, flexure and thicknessshear in Sect. 4. Propagation of extensional waves under a dc field is analyzed in Sect. 5. Finally, some conclusions are drawn in Sect. 6.

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A Two-Dimensional Theory for High-Frequency Vibrations of Piezoelectric Crystal Plates with or Without Electrodes

Cited by 19 publications

References 20 publications

Amplification of acoustic waves in piezoelectric semiconductor plates

Amplification of acoustic waves in piezoelectric semiconductor plates

Dispersion relations for cylindrical bending motions of polarized piezoceramic bimorph plates with two facing edges free

Amplification of acoustic waves in laminated piezoelectric semiconductor plates

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