Bending and vibration of functionally graded sinusoidal microbeams based on the strain gradient elasticity theory

In this paper, a novel size-dependent beam model made of functionally graded materials (FGMs) is developed based on the strain gradient elasticity theory and sinusoidal shear deformation theory. The material properties of the functionally graded (FG) microbeams are assumed to vary in the thickness direction and are estimated through the Mori–Tanaka homogenization technique. Governing equations and boundary conditions are derived simultaneously...