Size-dependent functionally graded beam model based on an improved third-order shear deformation theory

摘要: Abstract In this study, a size-dependent beam model made of functionally graded materials (FGMs) is developed. This contains both microscale and shear deformation effects. The effect captured using the strain gradient elasticity theory, while included an improved third-order theory which based on more rigorous kinematics displacements. addition, interaction between Winkler–Pasternak elastic foundation FG microbeam considered. material properties microbeams are assumed to vary in thickness direction estimated through Mori-Tanaka homogenization technique. Material length scale parameters viewed as function mixture ratio rather than constant. equations motion boundary conditions derived from Hamilton's principle. Analytical solutions obtained Navier method for bending, free vibration, buckling problems with simply supported conditions. effects parameter, aspect ratio, various compositions, mechanical responses investigated detail. Some present results validated by comparing those available literature. indicate that effect, compositions greatly affect behavior microbeams. new can be used benchmark future researches.