Thermoelastic behaviour of FGM rotating cylinder resting on friction bed subjected to a thermal gradient and an external torque

Abstract

Thermoelastic behaviour of a functionally graded rotating cylinder with short length subjected to thermal and mechanical loads is studied in this article. It is assumed that the cylinder is located on a friction bed and is rotating due to an external torque. The material property is assumed to be variable along radius according to a power law distribution. Thermal conductivity equation is solved to obtain temperature distribution in terms of thermal boundary conditions and the material grading index. First-order shear deformation theory is used to derive kinematic relations. The governing equations are derived using minimum total potential energy theory and Euler relations. These governing equations are solved using method of eigenvalue and eigenvector. The physical and loading boundary conditions are applied to obtain unknown coefficients. The numerical results including stresses, strains and displacements are presented to show the influence of in-homogeneity index in longitudinal direction of the cylinder. The numerical results show that the longitudinal distributions of stresses, strains and displacements experience sharp and sudden changes at the end of the cylinder where the torsional moment is applied.