In this paper, an analytical method of a thermoelastic problem for a medium with functionally graded material properties is developed in a theoretical manner for the elliptic-cylindrical coordinate system under the assumption that the material properties except for Poisson’s ratio and density are assumed to vary arbitrarily with the exponential law in the radial direction. An attempt has been made to reconsider the fundamental system of equations for functionally graded solids in a two-dimensional state under thermal and mechanical loads. The general solution of displacement formulation is obtained by the introduction of appropriate transformation and carried out the analysis by taking into account the variation of inhomogeneity parameters. Furthermore, the aforementioned problem degenerated into the problem of the circular region by applying limiting conditions, and the results are validated. Numerical computations are carried out for ceramic-metal-based functionally graded material, in which zirconia is selected as ceramic and aluminium as metal and are represented graphically.
Manthena, V. R.; Lamba, N. K.; and Kedar, G. D.
Thermal stress analysis in a functionally graded hollow elliptic-cylinder subjected to uniform temperature distribution,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 12,
1, Article 40.
Available at: https://digitalcommons.pvamu.edu/aam/vol12/iss1/40