Thermo-piezo-magneto-mechanical stresses analysis of FGPM hollow rotating thin disk

Thermo-piezo-magnetic behavior of a functionally graded piezo-magnetic (FGPM) rotating disk, under mechanical and thermal loads is investigated. The mechanical, thermal and magnetic properties, except Poisson’s ratio, are assumed to depend on variable r and they are expressed as power functions in radial direction of the disk using mathematical modeling. Temperature distribution is obtained using a steady-state one dimensional heat transfer equation considering the boundary conditions of the symmetrical disk. Stress and displacement correlations, including mechanical, magnetic and thermal terms are defined using elasticity theory. Substituting these relations in the mechanical and magnetic equilibrium equations, lead ultimately to provision of a system of coupled second-order ordinary differential equations in terms of displacement and magnetic potential. Using these differential equations, physical characteristics including displacement, temperature, magnetic potential and distributions of radial and circumferential stresses are investigated graphically for a range of nonhomogeneous parameters i.e., elastic stiffness, thermal expansion and thermal conductivity. Hence, the effect of non-homogeneity on the stresses, displacement, temperature and magnetic potential are demonstrated. Results of this investigation could be applied for optimum design of FGPM hollow rotating thin disks.