Propagation of three-dimensional electroelastic shear waves in a regularly layered medium of metal-piezoelectric type

Zinchuk, L. P.; Levchenko, V. V.; Shul’ga, N. À.

doi:10.1007/bf01255731

Cited by 3 publications

(4 citation statements)

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“…Only concerning the pure SH waves in infinite media with transversely isotropic (hexagonal crystal) constituent materials: Zinchuk et al [30] proposed a matrizant method to analyze the dispersion characteristics with particular attention on the effects of the piezoelectricity, the unit cell configuration, and the relative thickness ratio in numerical examples. This analysis was later extended by Zinchuk et al [31] to periodic medium made of alternating metal and piezoelectric layers. Alshits and Shuvalov [32] analyzed the reflection/transmission of inclined SH waves in periodic composites having finite number of unit cells consisting of identical piezoelectric layers with metallized interfaces of fixed electropotential at alternating distances and semi-infinite substrates on its both sides, in which the existence of Bragg resonances was revealed.…”

Section: Introductionmentioning

confidence: 94%

Band Tunability of Coupled Elastic Waves along Thickness in Laminated Anisotropic Piezoelectric Phononic Crystals

Guo

Wang

et al. 2019

Crystals

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Although the passively adjusting and actively tuning of pure longitudinal (primary (P-)) and pure transverse (secondary or shear (S-)) waves band structures in periodically laminated piezoelectric composites have been studied, the actively tuning of coupled elastic waves (such as P-SV, P-SH, SV-SH, and P-SV-SH waves), particularly as the coupling of wave modes is attributed to the material anisotropy, in these phononic crystals remains an untouched topic. This paper presents the analytical matrix method for solving the dispersion characteristics of coupled elastic waves along the thickness direction in periodically multilayered piezoelectric composites consisting of arbitrarily anisotropic materials and applied by four kinds of electrical boundaries. By switching among these four electrical boundaries—the electric-open, the external capacitance, the electric-short, and the external feedback control—and by altering the capacitance/gain coefficient in cases of the external capacitance/feedback-voltage boundaries, the tunability of the band properties of the coupled elastic waves along layering thickness in the concerned phononic multilayered crystals are investigated. First, the state space formalism is introduced to describe the three-dimensional elastodynamics of arbitrarily anisotropic elastic and piezoelectric layers. Second, based on the traveling wave solutions to the state vectors of all constituent layers in the unit cell, the transfer matrix method is used to derive the dispersion equation of characteristic coupled elastic waves in the whole periodically laminated anisotropic piezoelectric composites. Finally, the numerical examples are provided to demonstrate the dispersion properties of the coupled elastic waves, with their dependence on the anisotropy of piezoelectric constituent layers being emphasized. The influences of the electrical boundaries and the electrode thickness on the band structures of various kinds of coupled elastic waves are also studied through numerical examples. One main finding is that the frequencies corresponding to (with the dimensionless characteristic wavenumber) are not always the demarcation between pass-bands and stop-bands for coupled elastic waves, although they are definitely the demarcation for pure P- and S-waves. The other main finding is that the coupled elastic waves are more sensitive to, if they are affected by, the electrical boundaries than the pure P- and S-wave modes, so that higher tunability efficiency should be achieved if coupled elastic waves instead of pure waves are exploited.

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Section: Introductionmentioning

confidence: 94%

Band Tunability of Coupled Elastic Waves along Thickness in Laminated Anisotropic Piezoelectric Phononic Crystals

Guo

Wang

et al. 2019

Crystals

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“…Dispersion equations for body, surface, and normal shear waves in regularly layered media formed of alternating metal and piezoceramic layers are detailed in [3,4]. Expanding upon the previous studies, the present paper discusses the results from a numerical analysis of the dispersion relations describing the propagation of acoustoelectric shear body waves in periodically layered media formed of identical sandwiches, each consisting of two different piezoelectric layers with metallized outside surfaces and a dielectric, nonpiezoelectric layer between them.…”

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confidence: 97%

“…The physical and mechanical properties of the piezoelectric layers are described by constitutive relations for a hexagonal (6mm) crystal with a sixth-order axis of symmetry parallel to the Oz-axis. The propagation of acoustoelectric shear waves in the direction of constant properties is described by the following system of equations in the piezoelectric layers [3,4]: …”

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confidence: 99%

Acoustoelectric shear body waves in periodically layered metallized piezodielectric media

Zinchuk

Levchenko

2008

Int Appl Mech

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The paper proposes a technique to derive the dispersion relations for acoustoelastic shear body waves propagating in periodically layered media formed of identical metallized sandwiches, each consisting of two different piezoelectric layers and a dielectric layer between them. A numerical analysis is carried out and the propagation of body waves in different structures is described for a wide range of frequencies and wave numbers. The effect of the physical, mechanical, and geometrical parameters of the layers on the transmission and suppression bands is examined. The influence of the piezoeffect on the arrangement of the transmission edges upon change in the relative thickness of the layers is studied Keywords: shear body wave, periodically layered piezodielectric medium, piezoelectic, dielectric Introduction. Studying the propagation of acoustoelectric waves in various layered structures is of current importance from the point of view of both fundamental research and application in various acoustoelectric devices. This makes it necessary to model and study in detail the physical and mechanical properties of such structures. By varying the parameters and types of the layers within the period of structure over a wide range, it is possible to produce piezoelectric materials with optimal characteristics.To derive and analyze the dispersion equations describing the propagation of body, surface, and normal modes of different polarization in periodically layered media of different anisotropy, a variety of mathematical approaches has been proposed [2, 6-10, 12-15]. Dispersion equations for body, surface, and normal shear waves in regularly layered media formed of alternating metal and piezoceramic layers are detailed in [3,4]. Expanding upon the previous studies, the present paper discusses the results from a numerical analysis of the dispersion relations describing the propagation of acoustoelectric shear body waves in periodically layered media formed of identical sandwiches, each consisting of two different piezoelectric layers with metallized outside surfaces and a dielectric, nonpiezoelectric layer between them.1. Problem Formulation and Solution Procedure. Consider, in a Cartesian coordinate system Oxyz, a structure modeled by a sandwich repeated along the Ox-axis. The sandwich consists of three layers: a piezoelectric layer of thickness h p1 , a dielectric layer of thickness h d , and a piezoelectric layer of thickness h p2 . The outside surfaces of the sandwich are metallized (covered by an infinitely thin metal layer with zero potential). The physical and mechanical properties of the piezoelectric layers are described by constitutive relations for a hexagonal (6mm) crystal with a sixth-order axis of symmetry parallel to the Oz-axis. The propagation of acoustoelectric shear waves in the direction of constant properties is described by the following system of equations in the piezoelectric layers [3,4]:

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“…The dispersion equations are derived and analyzed there based on various mathematical approaches [8,10,15,16]. Shear waves in various inhomogeneous piezoelectric media were studied in [2][3][4]20], and the spectra of magnetoelastic waves in periodic structures consisting of ferromagnetic and nonmagnetic layers were analyzed in [5,9,[11][12][13][14]17]. Magnetostatic waves in various layered structures were examined in [7].…”

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confidence: 99%

Magnetoelectroelastic shear body waves in periodically layered metalized ferrite–piezoelectric media

Levchenko

Zinchuk

2010

Int Appl Mech

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A method of deriving the dispersion equations for magnetoelectroelastic shear waves in periodically layered media is proposed. The media are formed by uniting identical metalized laminates, each consisting of two dissimilar piezoelectric layers separated by a layer with the properties of ferrite. A numerical analysis is carried out and the propagation of body waves in different structures consisting of ZnO and GaYtC layers is described within wide ranges of frequencies and wave numbers. The influence of the physical, mechanical, and geometrical parameters of the layers on the structure of the transmission and suppression zones and the effect of the piezoelectric effect of the position of transmission edges are examined Keywords: shear body wave, periodically layered medium, piezoelectric layer, ferrite layer Introduction.Recently, interest to waves of different physical nature in periodic structures with complex physical and mechanical properties, including composite materials with alternating piezoelectric and magnetostrictive components has heightened considerably. Studying the patterns of propagation of magnetoelectroelastic waves in such structures is of fundamental and applied importance. Yttrium iron garnet sheets produced by liquid-phase epitaxy are usually used as ferrimagnetic materials. The combination of ferrimagnetic and piezoelectric layers in radio-electronic devices provides additional ways to control the propagation of signals, primarily owing to the interaction of mechanical, electric, and magnetic components.Most studies on the acoustic properties of layered media address body and surface waves in regularly layered structures. The dispersion equations are derived and analyzed there based on various mathematical approaches [8,10,15,16]. Shear waves in various inhomogeneous piezoelectric media were studied in [2][3][4]20], and the spectra of magnetoelastic waves in periodic structures consisting of ferromagnetic and nonmagnetic layers were analyzed in [5,9,[11][12][13][14]17]. Magnetostatic waves in various layered structures were examined in [7]. Research of magnetoelectroelastic shear waves was pioneered in [18] where waves propagating along the interface between piezoelectric and magnetoelastic half-spaces were discovered. The dispersion equations for normal waves in ferrite-piezoelectric structures weare derived in [6].The present paper discusses shear body waves in periodically layered structures formed of piezoelectric-ferritepiezoelectric sandwiches with face layers metalized.1. Problem Formulation and Problem-Solving Method. Let us consider, in a Cartesian coordinate system Oxyz, a layered structure made from a parent sandwich periodically repeated along the Ox-axis. The sandwich includes a piezoelectric layer of class 6mm and thickness h p1 , a ferrite layer of cubic symmetry and thickness h f , and a piezoelectric layer of class 6mm and thickness h p2 . The surfaces of the sandwich are metalized, their mechanical properties are neglected, and their shielding effect is taken into account....

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Propagation of three-dimensional electroelastic shear waves in a regularly layered medium of metal-piezoelectric type

Cited by 3 publications

References 1 publication

Band Tunability of Coupled Elastic Waves along Thickness in Laminated Anisotropic Piezoelectric Phononic Crystals

Band Tunability of Coupled Elastic Waves along Thickness in Laminated Anisotropic Piezoelectric Phononic Crystals

Acoustoelectric shear body waves in periodically layered metallized piezodielectric media

Magnetoelectroelastic shear body waves in periodically layered metalized ferrite–piezoelectric media

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