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M. R. Abd-El-Salam, A. M. Abd-Alla and H. A. Hosham, “A Numerical Solution of Magneto-Thermoelastic Problem in Non-Homogeneous Isotropic Cylinder by the Finite-Difference Method,” Applied Mathematical Modelling, Vol. 31, No. 8, 2007, pp. 1662-1670. doi:10.1016/j.apm.2006.05.009

has been cited by the following article:

• TITLE: Numerical Solution for a FG Cylinder Problem Using Finite-Difference Method

  AUTHORS: Daoud S. Mashat

  KEYWORDS: Functionally Graded, Annular Cylinder, Electro-Magneto-Thermoelastic Field

  JOURNAL NAME: Applied Mathematics, Vol.2 No.1, January 30, 2011

  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.