Buckling analysis of curved sandwich microbeams made of functionally graded materials via the stress-driven nonlocal integral model

Size-dependent buckling analysis for slightly curved sandwich microbeams made of functionally graded (FG) materials is performed via a stress-driven nonlocal model. The Fredholm integral constitutive equations are transformed into the Volterra type of the first kind and then solved analytically using the Laplace transformation and its inversion under different boundary conditions. The exact solutions are validated against those existing results. The effect of the nonlocal parameter, thickness ratio of core-to-skin layers, FG power-law index, and length-height ratio on the buckling loads, as well as on the ratio of the result predicted by two common beam-theories is investigated.