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

Abstract

Functionally gradedPoisson's ratio structures have been developed for critical protection. In thispaper, the static bending and buckling of FGPR nanoscale beam are studied basedon the nonlocal Timoshenko beam model, in which both Young's modulus andPoisson's ratio are assumed to vary continuously in the thickness direction. Byutilizing total potential energy principle, equilibrium equations are derived.In the numerical results, beam models with different material properties areintroduced, and the effects of the nonlocal parameter, aspect ratio and thePoisson's ratio on the deflection and buckling are discussed.