Bending and buckling of functionally graded Poissonʹʹs ratio nanoscale beam based on nonlocal theory

Functionally graded Poisson’s ratio structures have been developed for critical protection. In this paper, the static bending and buckling of FGPR nanoscale beam are studied based on the nonlocal Timoshenko beam model, in which both Young’s modulus and Poisson’s ratio are assumed to vary continuously in the thickness direction. By utilizing total potential energy principle, equilibrium equations are derived. In the numerical results, beam models with different material properties are introduced, and the effects of the nonlocal parameter, aspect ratio and the Poisson’s ratio on the deflection and buckling are discussed.