Thermo-magneto-elasticity analysis of variable thickness annular FGM plates with asymmetric shear and normal loads and non-uniform elastic foundations

In the present research, a semi-analytical three-dimensional solution is developed for transversely graded annular/circular plates resting on non-uniform elastic foundations and subjected to magnetic and thermal fluxes and non-uniform and asymmetric mechanical loads. Thickness of the plate may vary exponentially along the radial direction and the inner and outer edges are restrained. All the thermal, magnetic, and elastic properties are assumed to vary in the transverse direction. Transverse distribution of the temperature is determined analytically for both the specified transverse temperature gradient and specified heat flux thermal conditions. Dependencies of the solution on the radial and transverse coordinates are determined through solving the resulting governing equations by using the differential quadrature and state space approaches in the radial and transverse directions, respectively. Effects of the material heterogeneity, thermal and mechanical boundary conditions, thickness variability, coefficients of the elastic foundation, shear to normal loads ratio, and magnetic field intensity are investigated comprehensively, through a parametric study. Results reveal that complex interactions may be observed among the elastic, thermal, and magnetic responses.