On Numerical Bending Analysis of Functionally Graded Porous Beam – Effect of Porosity Adapting Higher Order Shear Deformation Theory

Pores have a significant impact on the properties of functionally graded materials. Many other features can be added if the distribution of pores are allowed to progressively increase from the surface into the inside. The bending response on a Functionally graded porous beam (FGPB) is analysed by adopting a unique shear shape function and taking into consideration even and uneven porosity distributions. Material properties of FGPBs with even and uneven porosity distributions along the length and thickness directions are changed using power law. When formulating equilibrium equations for FGPB, principle of virtual displacements is put to use. The method developed by Navier is applied in order to provide solutions to porous FGPB for simply supported boundary conditions and applied to clamped-clamped and clamped-free boundary conditions. Proposed methodology is justified with numerical findings of non-porous and porous FGPBs that are from earlier research. Exponents, porosity, volume fraction, thickness ratios, and aspect ratios are factors that have an influence on the dimensionless deflections and stresses that are being researched.