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Analysis of wave scattering in 3-layer piezo composite structure [Pb[ZrxTi1-x]O3-ALN-Pb[ZrxTi1-x]O3]
S. Nirwal, S.A. Sahu, J. Baroi,
Published in Bellwether Publishing, Ltd.
2021
Volume: 49
   
Issue: 3
Pages: 307 - 328
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 piezoelectric (PE) media. In more contrast, the effect of material gradient factor on amplitude ratios of various reflected and transmitted waves has been investigated. The composite structure consists of an FGPM layer bonded between two similar transversely isotropic PE half-spaces. It has been shown that incident quasi-longitudinal wave (qP-mode) at lower interface generates reflected and transmitted waves namely qP and quasi-shear vertical waves (qSV-mode). These transmitted waves further give rise to reflected and transmitted waves at the upper interface. At the interfaces of the FGPM layer, the stresses, displacements and electric potential functions are continuous. Due to the scattering of waves, 12 independent amplitude ratios of displacement components are obtained. Amplitude ratios of various reflected and transmitted waves (for the electrically short case) have been obtained by solving a set of linear algebraic equations (using Crammer’s rule). The impact of gradient factor has been examined on amplitude ratios against the angle of incidence and presented graphically. The plot of the slowness section is also demonstrated through graph. In addition, deduced results are compared with the earlier studies and found to be in agreement with the findings. © 2019 Taylor & Francis Group, LLC.
About the journal
JournalMechanics Based Design of Structures and Machines
PublisherBellwether Publishing, Ltd.
ISSN15397734