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Advances in Materials Research
  Volume 12, Number 4, December 2023 , pages 309-330
DOI: https://doi.org/10.12989/amr.2023.12.4.309
 

Wave propagation in a nonlocal prestressed piezoelectric polygonal plate with non-homogeneity and hygroscopic effect
Rajendran Selvamani, Hepzibah Christinal and Farzad Ebrahimi

 
Abstract
    The humid thermal vibration characteristics of a nonhomogeneous thermopiezoelectric nonlocal plate of polygonal shape are addressed in the purview of generalized nonlocal thermoelasticity. The plate is initially stressed, and the three-dimensional linear elasticity equations are taken to form motion equations. The problem is solved using the Fourier expansion collocation method along the irregular boundary conditions. The numerical results of physical variables have been discussed for the triangle, square, pentagon, and hexagon shapes of the plates and are given as dispersion curves. The amplitude of non-dimensional frequencies is tabulated for the longitudinal and flexural symmetric modes of the thermopiezoelectric plate via moisture and thermal constants. Also, a comparison of numerical results is made with existing literature, and good agreement is reached.
 
Key Words
    humidity; nonlocal stress-strain relation; piezoelectric resonator plate; polygonal shape
 
Address
Rajendran Selvamani, Hepzibah Christinal: Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore-641114, Tamilnadu, India
Farzad Ebrahimi: Department of Mechanical Engineering, Imam Khomieni International University, Qazvin 34148-96818, Iran
 

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