Magneto-thermal–mechanical analysis of functionally graded rotating cylinder and circular disk

With the development of functionally graded materials (FGMs), the multi-field coupling of FGMs has received extensive attention. The analytical solutions of the thermal distribution, displacement, strain, and stress of a rotating functionally graded (FG) cylinder or circular disk are studied under a uniform constant magnetic field. In this paper, the FG cylinder or circular disk are subjected to axisymmetric mechanical and thermal loads. It is assumed that the material properties of the cylinder or circular disk change as the power functions along with the radius direction. On the basis of the dynamic equation of the rotating cylinder with the Lorentz force, the second-order ordinary differential equation is derived, and the analytical solutions of the multi-field coupling are obtained. The three simplified problems are solved as the special cases of the present analytical expressions. In addition, the effects of FG parameter, thermal load, magnetic field, internal pressure, and rotating velocity on the magneto-thermal–mechanical response of FG cylinder or circular disk are studied.