Deformation and stress analysis of rotating functionally graded hollow cylindrical body for variable heat generation

In the present study, one-dimensional steady-state temperature variation with variable heat generation was considered and thermo-mechanical stress and deformation analysis on a hollow functionally graded cylinder were then performed. A governing differential equation with a variable coefficient is solved using Navier’s equation by applying thermal and mechanical boundary conditions. The effect of internal pressure and temperature, rotation, gravity, and heat generation, and their combined effect such as rotation and heat generation, gravity and heat generation, rotation, gravity, and heat generation were studied in a cylindrical body. The gradation properties varied radially as per power-law variation. The grading parameter ranging between -2 to 3, changes the material properties in the radial direction. A critical grading index was identified that lowers the induced stresses and hence an improvement in the performance of functionally graded cylinders can be obtained under the influence of a combination of loads. The validation of the results was carried out with published literature.