Analysis of Functionally Graded Cylinders for Different Gradation Law under Coupled Thermo-Mechanical Loading

Abstract

Functionally graded materials are materials with tailored properties in one or more directions. This paper analyzes functionally graded cylinders with variation of properties according to various gradation laws available in literature of functionally graded materials. These gradation laws determine response of material under different loading and boundary conditions. The whole analysis is carried out in ABAQUS. USDFLD subroutine has been used for varying the material properties at elemental level. FGM cylinder under analysis has been loaded with coupled thermo-mechanical load where one surface of the plate is loaded with mechanical force and a temperature gradient is provided over the thickness of the cylinder. Another surface is free from any kind of mechanical forces. On application of force and thermal gradient maximum stresses generated and the maximum nodal temperature observed in the cylinder is compared with the failure limits considering factor of safety for the working conditions.On the basis of maximum stress observed and the corresponding nodal temperature using different gradation laws the application of these laws are justified.