Bending and buckling of functionally graded Poisson's ratio nanoscale beam based on nonlocal theory

Document Type: Regular Paper


1 School of Science, Chang’an University, Xi’an, China, 710064

2 School of Aeronautics, Northwestern Polytechnical University, Xi’an, China, 710072


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.