Thermo-mechanical buckling analysis of embedded nanosize FG plates in thermal environments via an inverse cotangential theory

摘要: Abstract In this article, thermal buckling behavior of size-dependent functionally graded nanoplates resting on two-parameter elastic foundation under various types environments is studied based a new refined trigonometric shear deformation theory for the first time. It assumed that FG nanoplate exposed to uniform, linear and sinusoidal temperature rises. Mori–Tanaka model adopted describe gradually variation material properties along plate thickness. Size-dependency nanosize captured by using nonlocal elasticity Eringen. Through Hamilton’s principle governing equations are derived four-variable then solved analytically. A variety examples presented indicate importance parameters, fields, nonlocality, composition, aspect side-to-thickness ratios critical temperatures nanoplate. Hence, present study provides beneficial results accurate design nanostructures subjected thermo-mechanical loadings.