Abstract
Abstract A simple quasi-3D sinusoidal shear and normal deformations theory for the hygro-thermo-mechanical bending of functionally graded piezoelectric (FGP) plate is developed under simply-supported edge conditions. The governing equations are deduced based on the principle of virtual work. The exact solutions for FGP plate are obtained. The current study investigates the effect of some parameters, like piezoelectricity, hygrothermal parameter, gradient index and electric loading on the mechanical and electric displacements, electric potential and stresses. They are explored analytically and numerically presented and discussed in detail. The numerical results clearly show the effect of piezoelectric and hygrothermal parameter on the FGP plate.
Highlights
Piezoelectric materials are great widely used as smart structures in different aerospace applications, because they can generate voltage, drive microelectronics directly and store charge
This paper presents analytical solutions for bending of functionally graded piezoelectric (FGP) rectangular plates subjected to moisture and thermal loads
The equilibrium equations based on the principle of virtual work, and the analytical closed-form solutions of -supported FGP plates are obtained by using Navier’s method
Summary
Piezoelectric materials are great widely used as smart structures in different aerospace applications, because they can generate voltage, drive microelectronics directly and store charge. Zenkour (2014a, b) proposed an analytical solution describing the hygro-thermo-elastic responses of piezoelectric inhomogeneous hollow cylinders where the significance of influence of several parameters was investigated. He assumed that the piezoelectric nanoplate is -supported under an external electric voltage as well as a biaxial force and a uniform temperature change. The thermo-electromechanical vibration of the piezoelectric rectangular nanoplate under different boundary conditions formed by using the nonlocal theory and the first-order shear deformation theory has been studied by Ke et al (2015).
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