Multiscale modelling of functionally graded porous beams: Buckling and vibration analyses

Abstract

This paper combines the finite element (FE) homogenisation and structural assessments to conduct the multiscale modelling of laminated functionally graded (FG) porous beams made of closed-cell foams, with a focus on the beam buckling and vibration performances. In the FE homogenisation, representative volume elements (RVEs) are built up according to the relative densities, average cell sizes, and base material properties from foam samples. They are used to predict the foam Young's modulus and verified against existing studies. A detailed investigation is then carried out to disclose the effects of RVE and porosity features, where the relative density is confirmed as the dominating factor in ..