A finite difference scheme for magneto-thermo analysis of an infinite cylinder
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Abstract
A finite different scheme as well as least-square method is presented for the magneto-thermo analysis of an infinite functionally graded hollow cylinder. The radial displacement, mechanical stresses and temperature as well as the electromagnetic stress are investigated along the radial direction of the cylinder. Material properties are assumed to be graded in the radial direction according to a novel exponential-law distribution in terms of the volume fractions of the metal and ceramic constituents. The governing second-order differential equations are derived from the equations of motion and the heat-conduction equation. The system of differential equations is solved numerically and some plots for displacement, radial stress, and temperature are presented.
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