Static bending and buckling analysis of functionally porous beam by First order Shear Deformation Theory

In this paper, static bending and buckling due to different distributions of functional porosity based on Timoshenko's beam theory are investigated. The modulus of elasticity and mass density are considered according to the two patterns of specific porosity distribution in the direction of thickness. The partial differential governing equations are derived from the minimum potential energy principle. The Ritz method is used to calculate the critical buckling loads and transverse bending curvature. The obtained results have been compared with other references and also finite element modeling. A parametric study was performed to investigate the effects of porosity coefficient and slenderness ratio on buckling and flexural properties of porous beams with pinned boundary conditions. Also, the effect of different porosity distributions on structural performance has been investigated to obtain essential insights into the design of this type of beam to achieve the desired buckling strength and flexural behavior. According to the parametric study results, increasing the porosity coefficient and slenderness ratio increases the critical buckling load and the bending strength. This research results can design poros beams like metal foams or recent manufacturing methods like additive manufacturing. Among the applications of the present study, this type of porous material for bone repair scaffolding can be mentioned.