LS model on electro–magneto–thermoelastic response of an infinite functionally graded cylinder

This article presents the electro–magneto–thermoelastic analysis problem of an infinite functionally graded material (FGM) hollow cylinder based upon Lord and Shulman’s (LS) theory. Material properties of the cylinder are assumed to be graded in the radial direction according to a novel power-law distribution in terms of the volume fractions of the metal and ceramic constituents. The inner surface of the FGM cylinder is pure metal whereas the outer surface is pure ceramic. The governing second-order differential equations are derived passed on the equations of motion and the heat-conduction equation. A finite element scheme is presented to obtain numerical solutions with high accuracy. The system of differential equations is solved numerically and some plots for displacement, radial stress, and temperature are presented. A comparison example with the available results is presented. The radial displacement, stresses and temperature are all investigated along the radial direction of the infinite cylinder.