<p>At the corrugated interface of a functionally graded piezoelectric material, reflection coefficients resulting from incidents at the corrugated interface of SH wave are considered. In piezoelectric material, inhomogeneity is regarded as exponential. Analytically, the solutions are derived for half-space. The boundary conditions that is stress free and electrically short are required to be satisfied by the two sets of coupled waves, namely, SH wave and the electric–acoustic wave. The reflection coefficient for the first-order estimate of corrugation is calculated using Rayleigh’s approximation approach. Furthermore, for a specific interface, the reflected coefficient of regularly and irregularly reflected waves are determined in closed form. For numerical interpretation of the results, a piezoelectric material <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40819_2025_1963_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="56" /> </InlineMediaObject> <EquationSource Format="TEX">\(\text {BaTiO}_3\)</EquationSource> </InlineEquation> ceramic is considered. The reflection coefficient expressions show that they depend heavily on material coefficients with inhomogeneity characteristics, as well as the known wave propagation components, such as the wave number of corrugation, and amplitude of corrugation. Graphs representing the results were produced using Mathematica 7 to present the findings. For the reflection coefficients vs incidence angle, graphs are presented.</p>

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Reflection of SH Wave at A Corrugated Interface of Functionally Graded Piezoelectric Half-Space

  • K. Hemalatha,
  • S. Kumar

摘要

At the corrugated interface of a functionally graded piezoelectric material, reflection coefficients resulting from incidents at the corrugated interface of SH wave are considered. In piezoelectric material, inhomogeneity is regarded as exponential. Analytically, the solutions are derived for half-space. The boundary conditions that is stress free and electrically short are required to be satisfied by the two sets of coupled waves, namely, SH wave and the electric–acoustic wave. The reflection coefficient for the first-order estimate of corrugation is calculated using Rayleigh’s approximation approach. Furthermore, for a specific interface, the reflected coefficient of regularly and irregularly reflected waves are determined in closed form. For numerical interpretation of the results, a piezoelectric material \(\text {BaTiO}_3\) ceramic is considered. The reflection coefficient expressions show that they depend heavily on material coefficients with inhomogeneity characteristics, as well as the known wave propagation components, such as the wave number of corrugation, and amplitude of corrugation. Graphs representing the results were produced using Mathematica 7 to present the findings. For the reflection coefficients vs incidence angle, graphs are presented.