Closed-from solutions for thermal buckling analyses of advanced nanoplates according to a hyperbolic four-variable refined theory with small-scale effects

A four-variable plate model is successfully extended here to investigate the thermal buckling analysis of advanced nanoplates. The advanced nanoplate is fabricated from a functionally graded material mixed of ceramic and metal with continuously varying material properties through the nanoplate thickness. Two types of thermal loadings, uniform and nonlinear temperature rises along the nanoplate thickness are taken into consideration. The present model contains four unknown functions as against five or more in other alternative models. The through-the-thickness distributions of transverse shear stresses of the nanoplate are considered to vary parabolically and vanish at upper and lower surfaces. The present model does not require any problem-dependent shear correction factor. Comparison examples are made between results obtained via this model and those via available solutions in the literature.