Techno Press
Techno Press

Coupled Systems Mechanics
  Volume 12, Number 4, August 2023 , pages 337-364
DOI: https://doi.org/10.12989/csm.2023.12.4.337
 

Rayleigh wave at imperfectly corrugated interface in FGPM structure
K. Hemalatha, S. Kumar and A. Akshaya

 
Abstract
    The Rayleigh wave propagation is considered in the structure of the functionally graded piezoelectric material (FGPM) layer over the elastic substrate. The elastic substrate loosely bonds the layer through a corrugated interface, whereas its upper boundary is also corrugated but stress-free. Additionally, the solutions for the FGPM layer and substrate are derived using the fundamental variable separable approach to convert the partial differential equation to an ordinary differential equation. The results with boundary conditions lead to dispersion relations for the electrically open and electrically short cases in the determinant form. The outcomes have been numerically analyzed using a specific model. The findings were presented in the form of graphs, which were created using Mathematica 7. Graphs are plotted for variations in wavenumber and phase velocity. The outcomes may help measure interface defects and design Surface Acoustic Wave (SAW) devices.
 
Key Words
    corrugation; functionally graded piezoelectric material; imperfect interface; Rayleigh wave
 
Address
K. Hemalatha, S. Kumar and A. Akshaya: Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur-603203, India
 

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