Effect of Porosity on the Nonlinear Thermal Stability of Functionally Graded Material Beams under Various Boundary Conditions

In this project work, the impact of porosity on the nonlinear thermal buckling response of power law functionally graded beam with various boundary conditions is investigated; the derivation of equations is based on the Euler–Bernoulli beam theory where the distribution of material properties is imitated polynomial function. Using the nonlinear strain–displacement relations, equilibrium equations and stability equations of beam are derived. The beam is assumed under thermal loading, namely: Nonlinear temperature distribution through the thickness. Various types of boundary conditions are assumed for the beam with combination of roller, clamped and simply-supported edges equations for these types of structures. The effects of the porosity parameter, slenderness ratio and power law index on the thermal buckling of P-FG beam are discussed.