Functionally graded materials or functionally gradient materials (FGM) are characterized as an anisotropic material whose physical properties varies continuously because the dimensions vary randomly or strategically to realize the specified characteristics. The general properties of the functionally gradient material are different from the properties of any of the individual parent materials which forms it. In this case aluminium and ceramic material FGM is considered, as ceramic materials displays better wear, corrosion and temperature resistance. Material modelling, geometric modelling and finite element modelling are completed for the disc subjected to inertia force because of the rotation of the disk, and thermal load. Then the numerical problem is solved using the finite element software ANSYS 18.1. A functionally graded annular disc is analyzed for different profiles like convex, concave, linearly varying and uniform with different angular velocity, and ceramic material considering exponentially varying material properties.