Analysis of wave scattering in 3-layer piezo composite structure [Pb[ZrxTi1-x]O3-ALN-Pb[ZrxTi1-x]O3]
03 Apr 2021-Mechanics Based Design of Structures and Machines (Taylor & Francis)-Vol. 49, Iss: 3, pp 307-328
TL;DR: In this paper, an analytical model has been considered to study the scattering phenomenon of the quasiplane wave in functionally graded piezoelectric material (FGPM) layer sandwiched between two similar Piezoele components.
Abstract: An analytical model has been considered to study the scattering phenomenon of the quasi-plane wave in functionally graded piezoelectric material (FGPM) layer sandwiched between two similar piezoele...
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TL;DR: In this paper , the authors investigated the propagation characteristics of horizontally polarized shear waves (SH waves) in a composite structure comprised of a Functionally Graded (FG) buffer layer sandwiched between an overlying transversely isotropic Piezo-Fiber-Reinforced Composite (PFRC) material guiding layer and an underlying TS-Poroelastic (PP) half-space.
Abstract: Love wave sensors are highly sensitive devices owing to the concentration of acoustic energy within a few wavelengths of the surface. The basic model of these high-performance devices is layered structures composed of highly sensitive composite and functionally graded materials. Thus the present work aims to establish an analytical framework to investigate the propagation characteristics of horizontally polarized shear waves (SH waves) in a composite structure comprised of a Functionally Graded (FG) buffer layer sandwiched between an overlying transversely isotropic Piezo-Fiber-Reinforced Composite (PFRC) material guiding layer and an underlying transversely isotropic Piezo-Poroelastic (PP) half-space. The motive considering the gradient materials, especially at the interface adjoining the layers, is to avoid the discontinuity of the inter-laminar stress and high local stress fields, which can arise around the edges of the laminates due to material mismatch across the interface. The functional gradient of the buffer layer is configured in terms of volume fractions of the guiding layer and the half-space material. The power series technique is employed to solve the governing equations of the FG-buffer layer. For the propagating SH wave, the dispersion relation relating the wave number with phase velocity through the mechanical and electrical parameters of the PFRC and PP materials, the gradient parameter, and the widths of the guiding and buffer layer is presented for the electrically open (EO) as well as electrically shorted (ES) conditions. Furthermore, mass loading sensitivity is analyzed by coating a fine layer on the free surface of the structure. The obtained results on the dispersion relations are compared and found to be in well-agreement with some of the outcomes available in the extant literature, thus validating the present study. To graphically delineate the impact of all influencing parameters, a layered structure of ZnO-Epoxy (PFRC)/ FG-buffer Layer/PZT-1 (PP) is considered. Also, the mass loading sensitivity is graphically illustrated for the coating of a fine layer of SiO2 on the free surface. The present study may be applied for a myriad of engineering applications like manufacturing and optimizing sensors, actuators, transducers, etc. The obtained results are specifically useful for developing and enhancing the performance of surface acoustic wave (SAW) devices/Love wave sensors.
12 citations
TL;DR: In this article, a theoretical investigation has been carried out to analyze the propagation of shear horizontal surface waves (SH-waves) in a structure consisting of a functionally graded p...
Abstract: In the present article, a theoretical investigation has been carried out to analyze the propagation of shear horizontal surface waves (SH-waves) in a structure consisting of a functionally graded p...
8 citations
TL;DR: In this article, the field equations of isotropic dielectrics with centrosymmetric microstructures are specialized to take into account the effects of micro-inertia, flexoelectricity, and non-uniform strain.
Abstract: Taking into consideration the effects of micro-inertia, flexoelectricity, and non-uniform strain, the field equations of isotropic dielectrics with centrosymmetric microstructures are specialized f...
7 citations
TL;DR: In this article, the reflection and transmission properties of quasi-longitudinal plane (QP) waves in an AlN-ZnO laminated composite structure were investigated and the algebraic equations were obtained by imposing boundary conditions on the common interface of the laminated structure.
Abstract: We examine the reflection and transmission phenomena of quasi-longitudinal plane (QP) waves in an AlN-ZnO laminated composite structure. The structure is designed under the influence of the initial stresses in which one carrier piezoelectric semiconductor (PSC) half-space is in welded contact with another PSC half-space. The secular equations in the transversely isotropic PSC material are derived from the general dynamic equation, taking the initial stresses into consideration. It is shown that the incident quasi-longitudinal wave (QP-mode) at the interface generates four types of reflected and transmitted waves, namely, QP wave, quasi-transverse (QSV) wave, electric-acoustic (EA) wave, and carrier plane (CP) wave. The algebraic equations are obtained by imposing the boundary conditions on the common interface of the laminated structure. Reflection and transmission coefficients of waves are obtained by implementing Cramer’s rule. Profound impacts of the initial stresses and exterior electric biasing field on the reflection and transmission coefficients of waves are investigated and presented graphically.
5 citations
TL;DR: In this article , the reflection and transmission of waves at an interface of piezoelectric (ALN and PZT-5T) half-spaces with microstructures were investigated.
2 citations
References
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TL;DR: Fractional derivative is a widely accepted theory to describe the physical phenomena and the processes with memory responses which is defined in the form of convolution having kernels as power functions as mentioned in this paper.
Abstract: Fractional derivative is a widely accepted theory to describe the physical phenomena and the processes with memory responses which is defined in the form of convolution having kernels as power func...
32 citations
TL;DR: The influences of two characteristic lengths of microstructure and the flexoelectric coefficients on the wave propagation are discussed and the numerical results are shown graphically and validated by the energy conservation law.
31 citations
TL;DR: In this article, a higher-order spectral element (SE) was developed for wave propagation analysis of a functionally graded material (FGM) beam in the presence of thermal and mechanical loading.
Abstract: A new higher-order spectral element (SE) is developed for wave propagation analysis of a functionally graded material (FGM) beam in the presence of thermal and mechanical loading. The element is based on first order shear deformation theory (FSDT) and takes into account the depthwise contraction due to Poisson’s ratio. A new method of element formulation is employed, which is the most general one and devoid of all previous cumbersome wavenumber and wave amplitude computation. The beam can be subjected to temperature variation in depth direction. This variation is found by solving the one-dimensional heat conduction equation uncoupled from the elasticity equation. The effect of the computed temperature field is subsequently superimposed on the mechanical loading in the form of an equivalent nodal load. Numerical examples are directed towards highlighting the effect of the Poisson’s contraction on the structural response and stress wave. The spectrum and the dispersion relation are studied in detail. The stress field generated by the element and its difference from the FSDT stress field is outlined. The response of an FGM beam to thermo-mechanical loading is analysed and the effect of thermal loading on the overall response is elicited.
31 citations
TL;DR: In this paper, the influence of mechanically and dielectrically imperfect interfaces on the reflection and transmission waves between two piezoelectric half spaces is studied and the effects of these imperfect interfaces are discussed based on the numerical results.
27 citations
TL;DR: In this paper, a method has been developed to find the analytical expressions of all the three phase velocities of quasi-P (qP), quasi-SV (qSV) and quasi-SH (qSH) in three dimensions.
Abstract: The propagation of three-dimensional plane waves at a traction free boundary of a half-space composed of triclinic crystalline material is discussed. A method has been developed to find the analytical expressions of all the three phase velocities of quasi-P (qP), quasi-SV (qSV) and quasi-SH (qSH) in three dimensions. Closed form expressions in three dimensions for the amplitude ratios of reflection coefficients of qP, qSV and qSH waves in a triclinic medium are obtained. These expressions are used for numerically studying the variation of the reflection coefficients with the angle of incidence. The graphs are drawn for different polar angle and azimuth. Numerical results presented indicate that the anisotropy affect the reflection coefficients significantly in the three dimensional case compared to the two-dimensional case.
25 citations