Stress analysis of functionally graded discs under mechanical and thermal loads

Abstract

The analytical study deals with stress analysis of functionally graded rotating annular discs subjected to internal pressure and various temperature distributions, such as uniform T0 (reference temperature), linearly increasing Tb (outer surface temperature) and decreasing Ta (inner surface temperature) in radial direction. Infinitesimal deformation theory of elasticity and for graded parameters power law functions are used in the solution procedure. The results show that the tangential stresses increase at the inner surface and decrease at the outer surface with increasing T0 and Tb temperatures. If Ta is increased, they decrease at the inner surface and rise at the outer surface. The radial stresses reduce gradually along the radial section with increasing T0 and Ta temperatures, whereas they rise along the radial section when Tb is increased. The radial displacement values in the discs subjected to uniform temperature T0 are higher compared to the discs subjected to other kind of temperature distributions. The radial displacement has higher value at the outer surface than that of the inner surface for all the temperature distributions, except for radial displacement in the reference temperature case. The stresses and displacement values in a disc under uniform temperature are compared with the values given in the literature and they are found to be consistent with each other.