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: In this paper, a set of homogeneous equations in displacements and electric potential is derived within the rotatory coordinate system in the presence of the Coriolis and centrifugal acceleration. And the analysis results also indicate that the reflected and refracted waves can transform into the type of surface wave at some incident angles.
Abstract: The purpose of this paper is to address the wave reflection and refraction in the rotating piezoelectric crystals subjected to a biaxial, homogeneous stress field. Besides, utilizing the inhomogeneous wave theory enables additional reflected and refracted surface waves to solve the problem of discrepancy between independent wave modes and boundary equations. A set of homogeneous equations in displacements and electric potential is derived within the rotatory coordinate system in the presence of the Coriolis and centrifugal acceleration. The performed plane example shows that there is a critical point when angular velocity equals the wave frequency, at which no quasi-longitudinal wave can be generated, reflected or refracted, and close to which the characteristics of the quasi-longitudinal wave change sharply. In addition, the presence of the Coriolis and centrifugal accelerations demonstrates noticeable influence upon the wave propagation and reflection/refraction, namely the wave velocities and attenuations, the angles of the reflected/refracted bulk waves, the reflection/refraction amplitudes and energy ratio coefficients. The analysis results also indicate that the reflected and refracted waves can transform into the type of surface wave at some incident angles. Finally, compared with the rotation effects, the waves are not sensitive to the initial stresses.
3 citations
TL;DR: In this article, the dynamic behavior of an arc-shaped interfacial crack in an orthotropic functionally graded annular bi-material structure is investigated, and the analysis is executable, in order for the analysis to be executable.
Abstract: The dynamic behavior of an arc-shaped interfacial crack in an orthotropic functionally graded annular bi-material structure is investigated. In order for the analysis to be executable, the material...
3 citations
TL;DR: In this paper, the wave scattering method is presented to analyze dynamic response of frameworks with stochastic parameters, and the results obtained by the proposed method with higher computational efficiency show an excellent agreement with those by Monte Carlo simulation method.
Abstract: The wave scattering method is presented to analyze dynamic response of frameworks with stochastic parameters. First, with the uncertain physical, geometric, and loading properties in consideration, the stochastic waveguide equations containing the axial, torsional and flexural wave modes are established. Second, the stochastic wave scattering equation and wave translation matrix are derived to obtain the wave modes. Third, the methodology to extract the generalized displacements and forces from stochastic wave modes is proposed. Finally, a cantilever beam, a planar framework, and a space framework have been presented as numerical examples to illustrate the efficiency of the proposed method. It is found that the results obtained by the proposed method with higher computational efficiency show an excellent agreement with those by Monte Carlo simulation method. Furthermore, the influences of stochastic parameters on dynamic response are revealed.
2 citations
TL;DR: Using a polarization method, the scattering problem for a two-dimensional inclusion embedded in infinite piezoelectric/piezomagnetic matrices is investigated in this paper, where the polarization method for a 2D comparison body is formulated.
Abstract: Using a polarization method, the scattering problem for a two-dimensional inclusion embedded in infinite piezoelectric/piezomagnetic matrices is investigated. To achieve the purpose, the polarization method for a two-dimensional piezoelectric/piezomagnetic “comparison body” is formulated. For simple harmonic motion, kernel of the polarization method reduces to a 2-D time-harmonic Green’s function, which is obtained using the Radon transform. The expression is further simplified under conditions of low frequency of the incident wave and small diameter of the inclusion. Some analytical expressions are obtained. The analytical solutions for generalized piezoelectric/piezomagnetic anisotropic composites are given followed by simplified results for piezoelectric composites. Based on the latter results, two numerical results are provided for an elliptical cylindrical inclusion in a PZT-5H-matrix, showing the effect of different factors including size, shape, material properties, and piezoelectricity on the scattering cross-section.
2 citations