Finite element formulation of metal foam microbeams via modified strain gradient theory

Size-dependent behaviours of metal foam microbeams with three different porosity distribution models are studied in this paper. Based on the finite element model, a normal and shear deformation theory has been employed for first time to investigate their structural by using modified strain gradient considering effects variable material length scale parameter. The equations motion boundary conditions system derived from Hamilton’s principle. Finite presented computation deflections, vibration frequencies buckling loads microbeams. verification proposed is carried out comparison numerical results available literature. Calculations parameters reveal (distribution coefficient), small size, Poisson’s ratio displacements, Some benchmark these structures both (modified couple stress constant parameter) with/without Poison’s effect provided future study.