Non-linear thermal bending analysis of rotating functionally graded circular plates with sigmoidal, logarithmic, and exponential porosity distributions

Abstract In this research, non-linear thermal and deflection on a rotating circular plate made of a porous material with graded properties is studied. Three cases of boundary conditions are investigated: roller-supported, hinged, and clamped plates. The thermal and mechanical characteristics of the plate follow four cases of porosity distributions (even, uneven, logarithmic, and exponential). The porosity distribution is applied to reduce the stress and deflection resulting from the graded plate. In the solution method, the first-order shear deformation theory with Hamilton’s principle is considered to solve the resulting differential equations. The current results are compared under the influence of several main factors, such as porosity distribution, grading index, porosity coefficient, and loading conditions for each of the boundary conditions. The results of the study showed that the exponential distribution provided great resistance to deflection, which led to reducing the deflection and the stress resulting on the porous plate, which helps in producing and improving the performance of the plates in engineering and mathematical models.