Thermoelastic analysis of functionally graded porous beam

We present a thermoelastic analysis of functionally graded porous beams under in-plane thermal loading which is applied as uniform temperature distribution over the entire beam. The pore distributions are modeled by a power law and assumed to vary smoothly across the thickness of beam. We consider both saturated and unsaturated pores filled with fluid. The governing equations of porous beam are derived using the variational formulation based on the Timoshenko beam theory. We study the influence of pore’s material properties comparing the results to solutions of homogeneous beams.