On the magneto-thermo-elastic responses of FG annular sandwich disks

Abstract

In this article, the magneto-thermo-elastic response of a functionally graded annular sandwich disk is investigated. The present sandwich disk is subjected to non-uniform steady-state thermal load and placed in a magnetic field. The core is made from a metal-ceramic functionally graded material while the inner and outer faces are made from metal and ceramic materials, respectively. The magnetic, 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. The governing differential equations are exactly satisfied at every point of the disk. Analytical solutions for the temperature, radial displacement and stresses are derived. Numerical results are presented due to the magneto-thermal bending. The distributions of these results during the radial direction of the sandwich disk are presented graphically. Finally, the significance of gradation of the metal–ceramic components and the geometry of the disk in the magneto-thermo-elastic responses of annular disks is investigated.