Thermoelastic Analysis of an Annular Sandwich Disk with Metal/Ceramic Faces and Functionally Graded Core

Abstract

Thermoelastic analysis of a functionally graded annular sandwich disk subjected to nonuniform steady-state thermal load is carried out in this paper. The inner and outer faces of the present disk are made from metal and ceramic materials, respectively. While the core is made from a metal-ceramic functionally graded material. Thermal and mechanical properties of the functionally graded material are assumed to be temperature independent and continuously vary in the radial direction of the disk. The variation of Young's modulus, thermal expansion and conductivity coefficients are represented by a novel exponential law distribution through the radial direction of the disk, but Poission's ratio is kept constant. The governing differential equations are exactly satisfied at every point of the disk. Closed form solutions for the temperature and stress fields are derived in terms of an exponential integral and Whittaker's functions. Some results for stress, strain, and displacement components are presented due to the thermal bending. The distribution of these results during the radial direction of the disk are graphically presented and remarking conclusion is made.