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Three-dimensional thermo-electro-mechanical buckling analysis of functionally graded piezoelectric micro/nano-shells based on modified couple stress theory considering thickness stretching effect

Abstract The present work uses a new three-dimensional framework for thermo-electro-mechanical buckling analysis of functionally graded piezoelectric cylindrical nano/micro-shells subjected to axial mechanical compression, an external applied voltage and uniform temperature rising. To account thickness stretching effect, three-dimensional shear and normal deformation theory is employed. Size dependency is modeled based on modified couple stress theory. Principle of virtual work is used to derive governing equations. The solution procedure is developed based on Navier’s technique for simply-supported boundary conditions. The importance of the present new framework is justified through comparison between present results and corresponding previous lower-order analysis. The full numerical results are presented in terms of significant parameters of the problem such as some dimensionless geometric parameters, temperature change, dimensionless length scale parameter and applied voltages.