Wave propagation of the viscoelastic FG-GPLRPC microplate via sinusoidal shear deformation theory (SSDT) and modified coupled stress theory (MCST)

Abstract

This is the first research on the wave propagation analysis of the viscoelastic functionally graded graphene platelet reinforced piezoelectric composite (FG-GPLRPC) microplate exposed to the electromagnetic field. Uniform distribution (UD) and two types of functionally graded distribution patterns of GPL reinforcements are considered. Kelvin Voigt’s model is engaged in providing the realistic material property of the viscoelastic system. The viscoelastic FG-GPLRPC microplate is embedded in the orthotropic Visco Pasternak foundation. Halpin–Tsai micromechanics model and the rule of mixture (ROM) is applied to formulate the effective Young's modulus, density, and Poisson's ratio of viscoelastic FG-GPLRPC microplate. Governing equations are derived using nonlocal modified coupled stress theory (MCST) and sinusoidal shear deformation theory (SSDT). After validating the results, the influence of different parameters, including three pattern types of functionally graded distributions of GPLs, the weight fraction of GPLs, various foundation models, magnetic field, the geometrical aspect ratio of the system, and damping coefficient, are carried out. The results illustrate that adding 1% weight fraction of GPLs leads to an increment of 28.57% in the dimensionless phase velocity of the structure. It is hoped that the results of this study will be useful in improving the design of smart systems.