Thermoelastoplastic analysis of FGM rotating thick cylindrical pressure vessels in linear elastic-fully plastic condition

Abstract

In this paper, exact solutions to purely elastic, partially plastic and fully plastic deformation and stresses of rotating functionally graded (FG) cylindrical pressure vessels under thermal load are obtained. The material properties are assumed to vary nonlinearly in the radial direction of the vessel whereas the Poisson's ratio due to slight variations in engineering materials is kept constant. To the best of the researchers' knowledge, in the literature, there is no study carried out exact solution for thermal stresses in elastic-plastic rotating FGM thick cylindrical pressure vessels. The novelty of the current work is to present a complete exact elastoplastic solution for thick cylindrical pressure vessels made of FGM under thermal loading, taking into account all stress regions. Assuming that the inner surface is exposed to an airstream, and that the outer surface is exposed to a uniform heat flux. The heat conduction equation for the one-dimensional problem in cylindrical coordinates is used to obtain temperature distribution in the vessel. Tresca's yield criterion and its associated flow rule are used to formulate six different plastic regions for an ideal plastic material. All these stages are studied in detail. It is shown that the thermo-elasto-plastic response of the functionally graded pressurized cylindrical vessel is affected notably by the radial variation of material properties.