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Numerical Solution for a FG Cylinder Problem Using Finite-Difference Method
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Applied Mathematics·Volume 02 (2011)·Pages 123–130·Published 30 January 2011·DOI10.4236/am.2011.21014
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Abstract
A refined finite-difference approach is presented to solve the thermoelastic problem of functionally graded cylinders. Material properties of the present cylinder are assumed to be graded in the radial direction according to a power-law distribution in terms of the volume fractions of the metal and ceramic constituents. The governing second-order differential equations are derived from the motion and the heat-conduction equations. Numerical results for dimensionless temperature, radial displacement, mechanical stresses and electromagnetic stress are distributed along the radial directions. The effects of time parameter and the functionally graded coefficient are investigated.
KeywordsFunctionally GradedAnnular CylinderElectro-Magneto-Thermoelastic Field
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