Transverse surface waves on a piezoelectric material carrying a functionally graded layer of finite thickness

Qian, Zhenghua; Jin, Feng; Wang, Zikun; Kishimoto, Kikuo

doi:10.1016/j.ijengsci.2007.03.009

Cited by 84 publications

(27 citation statements)

References 17 publications

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“…Since our focus in this paper is placed on how the covering layer thickness affects the Love wave propagation behavior, for the simplicity of mathematical handling, we assume that all material parameters in the functionally graded piezoelectric substrate have the same exponential function variation along the x-axis direction by following the previous work [19][20][21] …”

Section: Statement Of the Problemmentioning

confidence: 99%

“…(11), (16)(17) and (19)(20)(21) into the boundary conditions 1) and 2) and continuity condition 3) yields the following homogeneous linear algebraic equations with respect to A 0 ,…”

Section: Electrically Open Casementioning

confidence: 99%

“…A concept that may be used to reduce the magnitude of residual and thermal stresses inevitably appearing in such layered structures could be the introduction of functionally graded piezoelectric materials (FGPMs) [17][18][19][20][21] resulting from the idea of functionally graded materials (FGMs) that are well known to reduce stress concentration near material edges or ends and increase material fracture toughness. Li et al [17] studied the features of Love waves in a layered functionally graded piezoelectric structure consisting of an FGPM layer and an elastic substrate, where the variations of material constants are independent through the thickness of the layer.…”

Section: Introductionmentioning

confidence: 99%

“…Following the work by Li et al [17], Liu and Wang [18] did a similar work but assumed a different mathematic model for the material gradient of FGPMs in their work. For the same structure, Du et al [19] and Qian et al [20,21] separately studied the propagation of Love waves but assumed the same exponential function variation for all material parameters along the thickness direction of the layer. Furthermore, Liu et al [22] investigated again the Love waves in a smart functionally graded piezoelectric composite structure in which an FGPM layer is placed between a pure piezoelectric material layer and a metal substrate.…”

Section: Introductionmentioning

confidence: 99%

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Effects of covering layer thickness on Love waves in functionally graded piezoelectric substrates

2011

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An analytical approach is used to investigate the effects of covering layer thickness on the propagation behavior of Love waves in functionally graded piezoelectric materials (FGPMs) covered with a dielectric layer. The piezoelectric substrate is polarized in the direction perpendicular to the wave propagation plane, and its material parameters change continuously along the thickness direction. The dispersion equations for the existence of Love waves with respect to phase velocity are obtained for electrically open and shorted cases, respectively. A detailed investigation of the effects of the covering dielectric layer thickness on dispersion curve, phase velocity, group velocity, and electromechanical coupling factor is carried out. Numerical results show that for a given FGPM, the covering dielectric layer thickness affects significantly the fundamental mode of Love waves but has only negligible effects on the high-order modes. The changes in phase velocity, group velocity, and electromechanical coupling factor due to the change of gradient coefficient of FGPMs could be approached approximately by changing the thickness of the covering dielectric layer, which imply a potential factor for designing new-type surface wave devices with FGPMs.

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Section: Statement Of the Problemmentioning

confidence: 99%

“…(11), (16)(17) and (19)(20)(21) into the boundary conditions 1) and 2) and continuity condition 3) yields the following homogeneous linear algebraic equations with respect to A 0 ,…”

Section: Electrically Open Casementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effects of covering layer thickness on Love waves in functionally graded piezoelectric substrates

2011

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“…Due to the resulting differential equations of variable coefficients associated with the spatial variation of the material properties, the wave propagation in FGM remains difficult to analyze. Some numerical [8][9][10] and analytical methods [11][12][13][14][15][16] have been applied in order to study the wave propagation behavior in an inhomogeneous medium with material properties varying continuously along the depth direction. In an effort to show the interest of ZGV in the study of FGM materials, Bouhdima [15] first discussed the effect of the linear variation of mechanical properties along the thickness plate on the S 1 -ZGV using the power series technique (PST).…”

Section: Introductionmentioning

confidence: 99%

S₁-ZGV Modes of a Linear and Nonlinear Profile for Functionally Graded Material Using Power Series Technique

Zagrouba

Bouhdima

Ghozlen

2014

Advances in Acoustics and Vibration

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The present work deals with functionally graded materials (FGM) isotropic plates in the neighborhood of the first-order symmetric zero group velocity (S 1 -ZGV) point. The mechanical properties of functionally graded material (FGM) are assumed to vary continuously through the thickness of the plate and obey a power law of the volume fraction of the constituents. Governing equations for the problem are derived, and the power series technique (PST) is employed to solve the recursive equations. The impact of the FGM basic materials properties on S 1 -ZGV frequency of FGM plate is investigated. Numerical results show that S 1 -ZGV frequency is comparatively more sensitive to the shear modulus. The gradient coefficient p does not affect the linear dependence of ZGV frequency as function of cut-off frequency ; only the slope is slightly varied.

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Green's function approach to study the propagation of SH-wave in piezoelectric layer influenced by a point source

Singh

Das

Mistri

et al. 2017

Math. Meth. Appl. Sci.

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Green's function technique serves as a powerful tool to find the particle displacements due to SH‐wave propagation in layer of a shape different from the space between two parallel planes. Therefore, the present paper undertook to study the propagation of SH‐wave in a transversely isotropic piezoelectric layer under the influence of a point source and overlying a heterogeneous substrate using Green's function technique. The coupled electromechanical field equations are solved with the aid of Green's function technique. Expression for displacements in both layer and substrate, scalar potential and finally the dispersion relation is obtained analytically for the case when wave propagates along the direction of layering. Numerical computations are carried out and demonstrated with the aid of graphs for six different piezoelectric materials namely PZT‐5H ceramics, Barium titanate (BaTiO3) ceramics, Silicon dioxide (SiO2) glass, Borosilicate glass, Cobalt Iron Oxide (CoFe2O4), and Aluminum Nitride (AlN). The effects of heterogeneity, piezoelectric and dielectric constants on the dispersion curve are highlighted. Moreover, comparative study is carried out taking the phase velocity for different piezoelectric materials on one hand and isotropic case on the other. Dispersion relation is reduced to well‐known classical Love wave equation with a view to illuminate the authenticity of problem. Copyright © 2017 John Wiley & Sons, Ltd.

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Transverse surface waves on a piezoelectric material carrying a functionally graded layer of finite thickness

Cited by 84 publications

References 17 publications

Effects of covering layer thickness on Love waves in functionally graded piezoelectric substrates

Effects of covering layer thickness on Love waves in functionally graded piezoelectric substrates

S₁-ZGV Modes of a Linear and Nonlinear Profile for Functionally Graded Material Using Power Series Technique

Green's function approach to study the propagation of SH-wave in piezoelectric layer influenced by a point source

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Transverse surface waves on a piezoelectric material carrying a functionally graded layer of finite thickness

Cited by 84 publications

References 17 publications

Effects of covering layer thickness on Love waves in functionally graded piezoelectric substrates

Effects of covering layer thickness on Love waves in functionally graded piezoelectric substrates

S1-ZGV Modes of a Linear and Nonlinear Profile for Functionally Graded Material Using Power Series Technique

Green's function approach to study the propagation of SH-wave in piezoelectric layer influenced by a point source

Contact Info

Product

Resources

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S₁-ZGV Modes of a Linear and Nonlinear Profile for Functionally Graded Material Using Power Series Technique