Thermo-Electro-Mechanical Size-Dependent Buckling Response for Functionally Graded Graphene Platelet Reinforced Piezoelectric Cylindrical Nanoshells

Abstract

An accurate buckling response analysis for functionally graded graphene platelet (GPL) reinforced piezoelectric cylindrical nanoshells subject to thermo-electro-mechanical loadings is presented by a rigorous symplectic expansion approach. Three types of GPL reinforced patterns are considered, and the modified Halpin–Tsai model is employed to determine their effective material properties. By using Eringen’s nonlocal stress theory and Reissner’s shell theory, new governing equations are established in the Hamiltonian form. Exact solutions are expanded into symplectic series and three possible forms are derived. A comparison with the existing study is presented to validate the solution and very good agreement is observed. The effects of material and geometrical properties of GPLs, electric voltage and temperature rise on critical buckling stresses are investigated and discussed in detail.

Multilevel Fully Integrated Electromechanical Property Modulation of Functionally Graded Graphene‐Reinforced Piezoelectric Actuators: Coupled Effect of Poling Orientation

“…The ROM micromechanical model is adopted here because it is one of the simplest models with the lowest computational cost as well as widely used in literature to predict the effective property such as piezoelectric coefficient and electric permittivity. [36,43,45,54,55] In this, we considered different assumptions, i.e., there is no slippage or perfect bond between the graphene platelets and PVDF matrix and it is considered that matrix is free from the voids. Therefore, one can use ROM for nanoscale fibers or fillers having higher material properties at low volume fraction which is to be introduced in low material properties matrix by considering the above assumptions.…”

“…Zhao et al. [ 43 ] investigated the thermal, electrical, and mechanical buckling performance of FG‐GRCs cylindrical nanoshells. The torsional buckling of FG porous nanocomposite cylindrical shells incorporated with GPLs was examined by Ghahfarokhi et al.…”

“…In this, they demonstrated that even small addition of GPLs significantly improved the buckling strength of the FG graphene reinforced composites (FG-GRCs) plate. Zhao et al [43] investigated the thermal, electrical, and mechanical buckling performance of FG-GRCs cylindrical nanoshells. The torsional buckling of FG porous nanocomposite cylindrical shells incorporated with GPLs was examined by Ghahfarokhi et al [44] Song et al [45] examined the free and forced vibrations of simply supported FG multilayered graphene polymer plates under mechanical loading conditions.…”

Stability of Composite Cylindrical Shells with Nonclassical Hygrothermal–Electro–Elastic Coupled Loads

“…Sheng and Wang (2010), Khoa et al (2017) and Sun et al (Sun et al 2018;Sun et al 2016) studied buckling of imperfect/perfect piezoelectric composite cylindrical shells. Zhu et al (2019) and Zhao et al (2020) proposed exact solutions for thermo-electro-mechanical buckling of piezoelectric nanotube/graphene platelet-reinforced composite cylindrical shells. Mehralian et al (2016), Farajpour et al (2017), Sahmani et al (2018), Fang et al (2018), Lori Dehsaraji et al (2021) and Lyu et al (2021) examined size dependent buckling behavior of piezoelectric cylindrical micro/nanoshells subjected to axial compression, hydrostatic/lateral pressure and thermoelectric loads.…”

A nonlocal strain gradient shell model with the surface effect for buckling analysis of a magneto-electro-thermo-elastic cylindrical nanoshell subjected to axial load

“…The sizedependent formulations for buckling analysis of nanoshells based on modified couple stress theory have been carried out in recent years. [12][13][14][15] Zhao et al (2020) and Dehsaraji et al (2023) analyzed the buckling response of piezoelectric nano cylindrical shells using the nonlocal theory considering the small size effect, and the study captured the small size effect of cylindrical nanoshells more accurately, which provides a guideline for the design of nanodevices. 16,17 Mohammadi et al (2018) analyzed the vibrational behavior of a cylindrical shell by applying NSGT.…”