Effect of poisson's ratio on functionally graded cellular structures

Poisson's ratio is one of the key parameters of material properties, and it could directly decide deformation and distribution of stress in materials and structures. In this paper, effects of Poisson's ratio on static mechanical behaviours of functionally graded structure are investigated in three different kinds of elastic models. Configurations of unit cell and finite element (FE) models are utilized to analyze macro cellular structures under static compression loads. The properties of graphite sheet structure in micro-nano scaled structures are calculated. The unit cell varies from hexagonal to re-entrant configurations while Poisson's ratio varies from positive to negative values gradually. The combined Fourier series-Galerkin method is introduced to solve beam structure subjected to transverse loads. In the numerical results, it is found that Poisson's ratio exhibits appreciable effects on bearing capacity, which indicates static properties can be improved by optimal design of cell shape material distribution and computational methodology.