Analytical solution of Magneto-thermo-elastic stress for a functionally graded smart rotating disk

In this article, the magneto-thermo-elastic problem of functionally graded material (FGM) hollow rotating disk placed in uniform magnetic and temperature fields is considered. Analytical solutions for stresses and perturbations of the magnetic field vector in FGM hollow rotating disk are determined using the infinitesimal theory of magneto-thermo-elasticity under plane stress. The material properties, except Poisson’s ratio ( 0 < ν < 0.5 ), are assumed to depend on variable r and they are expressed as power functions of r . The direct method is used to solve the heat conduction and Navier equations. The temperature, displacement and stress fields and the perturbation of the magnetic field vector are determined and compared with those of the homogeneous case. Hence, the effect of inhomogeneity on the stresses and the perturbation of magnetic fieldvector distribution are demonstrated. The results of this study are applicable for designing optimum FGM hollow rotating disk