Analytical solution of stresses in isotropic disc composed of functionally graded material with variable compressibility and thickness

Functionally graded materials (FGMs) have numerous engineering applications due to their unique properties that vary continuously across the material structure. This study presents an analytical investigation into the stress analysis of a functionally graded disc subjected to pressure on the disc’s inner surface. The considered disc is composed of a combination of two or more materials with distinct mechanical properties, exhibiting a gradual variation in composition from the centre to the outer radius. The governing differential equation is solved analytically, elastic-plastic stresses and pressure are obtained. With the help of graphs and mathematical calculations, it is perceived that variable compressibility and variable thickness have substantial impact on the performance of a functionally graded isotropic material. Disc of copper has higher circumferential stresses than steel. It can be concluded that the annular disc of functionally graded material (copper) is more suitable for engineering design than that of the disc made of steel.