Thermo-mechanical stresses in functionally graded circular hollow cylinder with linearly increasing boundary temperature

Thermo-mechanical analysis of functionally graded hollow circular cylinders subjected to mechanical loads and linearly increasing boundary temperature is carried out in this study. Thermo-mechanical properties of functionally graded material (FGM) are assumed to be temperature independent and vary continuously in the radial direction of cylinder. Employing Laplace transform techniques and series solving method for ordinary differential equation, solutions for the time-dependent temperature and thermo-mechanical stresses are obtained. As an example, a molybdenum/mullite FGM with material properties follow an exponential law is calculated, and numerical results are graphically presented.