On Numerical Investigation of Buckling in Two-Directional Porous Functionally Graded Beam Using Higher Order Shear Deformation Theory

Abstract

In functionally graded materials (FGM), pores have a key impact. A variety of properties, such as resistance to mechanical shock, thermal insulation, catalytic efficiency, and the release of thermal stress, can be added by gradually changing pores distribution from the inner surface to the exterior surface. Tensile strength and the material's Young's modulus are impacted by the level and distribution of porosity. Two directional functionally graded beams are subjected to different sets of boundary conditions by employing a fifth-order shear deformation theory. The power-law distribution shows that the material properties of the beam change in both axial and thickness directions. Axial and transverse cross-sectional deflections are given in polynomial forms in order to calculate the critical buckling load. The auxiliary functions are combined with the displacement functions to fulfill the boundary criteria. Considerations for the boundary conditions include the following three: Clamped - clamped (CC), Simply supported (SS), and Clamped-free (CF). The computed findings are contrasted with earlier attempts in order to aid in the convergence and verification investigations. The effects of different aspect ratios, boundary conditions, and gradient indices on the buckling responses of the two directional functionally graded beams are all investigated.

Keywords

• functionally graded beam
• higher order shear deformation theory
• buckling
• porous fgb