On nonlocal characteristics of curved inhomogeneous Euler-Bernoulli nanobeams under different temperature distributions

In this paper, thermo-mechanical buckling analysis of curved functionally graded (FG) nanobeams is carried out via an analytical solution method. Curved FG nanobeam is subjected to uniform, linear and nonlinear temperature distributions across the thickness. Three kinds of boundary condition namely, simply supported-simply supported, simply supported-clamped and clamped-clamped are investigated. Thermo-elastic properties of curved FG beam change in radial direction according to the power-law model. Nonlocal elasticity theory is adopted to capture the size effects. Nonlocal governing equations of curved FG nanobeam are obtained from Hamilton's principle based on Euler-Bernoulli beam model. Finally, the influences of thermal loadings, nonlocal parameter, opening angle, material composition, slenderness ratio and boundary conditions on the thermal buckling behavior of nanosize curved FG beams are explored.