Exact solutions for radially polarized and magnetized magnetoelectroelastic rotating cylinders

In the present paper, analytical solutions are obtained for radially polarized and magnetized infinitely long magnetoelectroelastic (MEE) hollow and solid rotating cylinders. Three fully coupled, second-order governing differential equations of the problem are first decoupled and then solved in exact form. Different boundary conditions, angular velocities and aspect ratios have been considered to illustrate the magnetoelectroelastic behavior of the cylinders. Furthermore, by introducing an inequality, related to the physical properties of magnetoelectroelastic cylinder, it is shown that the stresses may be singular on the axis of the solid cylinder.