Thermal buckling and elastic vibration of third-order shear deformable functionally graded beams

An improved third order shear deformation theory is employed to investigate thermal buckling and vibration of the functionally graded beams. A power law distribution is used to describe the variation of volume fraction of material compositions. The functionally graded material properties are assumed to vary smoothly and continuously across the thickness of the beams. The Ritz method is adopted to solve the eigenvalue problems that are associated with thermal buckling and vibration in various types of immovable boundary conditions. The parametric study covered in this paper includes the effects of material composition, temperature-dependent material properties, and slenderness ratio.

► An improved third order shear deformation theory.
► Thermal buckling of functionally graded beams with temperature dependent properties.
► Thermo-elastic vibration of functionally graded beams with temperature dependent properties.
► Energy approach.
► The classically critical temperature affecting on frequency of such beams.