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

Zhen Zhao, Yiwen Ni, Shengbo Zhu, Zhenzhen Tong, Junlin Zhang, Zhenhuan Zhou, C.W. Lim, Xinsheng Xü

2020International Journal of Structural Stability and Dynamics24 citationsDOI

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.

Topics & Concepts

Materials sciencePiezoelectricityBucklingNanoshellSymplectic geometryGrapheneComposite materialMaterial propertiesShell (structure)Hamiltonian (control theory)MathematicsMathematical analysisNanotechnologyNanoparticleMathematical optimizationNonlocal and gradient elasticity in micro/nano structuresComposite Structure Analysis and OptimizationNumerical methods in engineering
Thermo-Electro-Mechanical Size-Dependent Buckling Response for Functionally Graded Graphene Platelet Reinforced Piezoelectric Cylindrical Nanoshells | Litcius