Assessment of Radial Displacements in Rotating Disc of Uniform Thickness Made of Functionally Graded Material: A Comparative Quantitative Study

For the calculation of a rotating disc, having a uniform thickness, made of functionally graded materials, the finite element method is used based on the concepts of multilayer disc and equivalent material. These concepts are available for analytical calculus as well. The multi-layered disc concept considers the disc made of several layers, and the equivalent material concept considers the disc material made of homogeneous and isotropic material. This material has fictitious properties that ensure the same behavior as that of the functionally graded material. The influence of Poisson's ratio can be determined and it is illustrated by some comparative results. The development of the calculus, the validation of the models and the analysis of the results are based on the numerical calculus using the finite element method. The models used, are based on the existence of the axial-symmetric plane. So, we can use 2D or 3D simplified models, with several variants regarding the fineness of the mesh. The results of the study, the models and concepts used are useful to specialists and designers of structures of this type, they have a high degree of generality and present openings for the use of other calculation methods.