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

In this study, a size-dependent beam model made of functionally graded materials (FGMs) is developed. This model contains both microscale and shear deformation effects. The microscale effect is captured using the strain gradient elasticity theory, while the shear deformation effect is included using an improved third-order shear deformation theory which is based on a more rigorous kinematics of displacements. In addition, interaction between the...