Nonlinear bending behavior of functionally graded porous beams based on sinusoidal shear deformation theory

A finite element formulation based on sinusoidal shear deformation theory is established to investigate linear and nonlinear bending analysis of functionally graded porous (FGP) beams. Three different porosity distribution patterns are considered along the thickness of the beams. Nonlinear Von-Kármán strains are assumed to study the nonlinear behavior of FGP beams. The minimum total potential energy principle is applied to derive the governing equations and the equations are solved numerically by a finite element model. Parametric studies are performed for bending analysis of FGP beams, where the effects of porosity distribution pattern, porosity coefficient, length-to-height ratio and distributed load type are examined.