THERMOELASTIC ANALYSIS OF THICK-WALLED FINITE-LENGTH CYLINDERS OF FUNCTIONALLY GRADED MATERIALS

Abstract

ABSTRACT A semianalytical thermoelasticity solution for thick-walled finite-length cylinders made of functionally graded (FG) materials is presented. The governing partial differential equations are reduced to ordinary differential equations using Fourier expansion series in the axial coordinate. The radial domain is divided into some virtual subdomains in which the power-law distribution is used for the thermomechanical properties of the constituent components. Imposing the necessary continuity conditions between adjacent subdomains, together with the global boundary conditions, a set of linear algebraic equations are obtained. Solution of the linear algebraic equations yields the thermoelastic responses for each subdomain as exponential functions of the radial coordinate. Some results for the stress, strain, and displacement components through the thickness and along the length are presented due to uniform internal pressure and thermal loading. Based on the results, the gradation of the constitutive components is a significant parameter in the thermomechanical responses of FG cylinders.