Abstract

Thermo-mechanical buckling problem of magneto-electro-thermo-elastic functionally graded (METE-FG) nanoplates supported by Winkler–Pasternak elastic foundation subjected to various thermal environments is analyzed via the refined sinusoidal plate model. Uniform, linear and sinusoidal temperature change and also the heat conduction across the plate thickness are considered. Magneto-electro-thermo-elastic properties of nanoplate change in spatial coordinate based on power-law form. The equations of motion for an embedded METE-FG nanoplate modeled via a four-unknown plate theory are derived by using Hamilton principle and Eringen’s nonlocal elasticity theory. An analytical method is presented to explore the influences of magnetic potential, electric voltage, elastic foundation parameters, various thermal environments, small-scale parameter, material composition and plate geometrical parameters on buckling temperature differences of embedded METE-FG nanoplate.

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