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Buckling Analysis of Double-Layer Piezoelectric Nanoplates Surrounded by Elastic Foundations and Thermal Environments Considering Nonlocal and Surface Energy Models

Published online by Cambridge University Press:  28 June 2017

S. Rafieian ,
M. Hashemian  and
M. Pirmoradian
S. Rafieian
Affiliation:
Department of Mechanical EngineeringKhomeinishahr BranchIslamic Azad UniversityKhomeinishahr, Iran
M. Hashemian*
Affiliation:
Department of Mechanical EngineeringKhomeinishahr BranchIslamic Azad UniversityKhomeinishahr, Iran
M. Pirmoradian
Affiliation:
Department of Mechanical EngineeringKhomeinishahr BranchIslamic Azad UniversityKhomeinishahr, Iran
*
*Corresponding author (hashemian@iaukhsh.ac.ir)
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Abstract

This study investigated the effects of considering surface and nonlocal energy parameters on the buckling analysis of double piezoelectric nanoplate (DPNP) embedded in elastic foundations and thermal environments. Both in-phase and out-of-phase modes of buckling and various boundary conditions are studied and compared with each other. The governing equations were derived by drawing on the principle of virtual work and then solved by employing the finite difference method. Finite difference solution was validated using Navier's method and journal references. A parametric study was also launched in order to investigate the effects of the external electric voltage, nonlocal parameters, different boundary conditions, elastic foundations and thermal environments on the surface effect of DPNP buckling. The obtained numerical results showed that the influence of surface stress on in-phase and out-of-phase modes of buckling of the DPNP was enhanced by augmenting the nonlocal parameters and external electric voltage; on the other hand, it was found to be decreased by increasing elastic foundations and temperature changes. In addition, the value of surface stress effects for the in-phase mode was higher than that of the out-of-phase one.

Keywords

Double piezoelectric nanoplateBucklingSurface energy effectNonlocal theory
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 4 , August 2018 , pp. 483 - 494
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

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