  In this paper, the mechanical responses of a thick-walled functionally graded
hollow cylinder subjected to uniform magnetic field and inner-pressurized loads
are studied. Rather than directly assuming the material constants into some
certain function forms as displayed in previous researches, we firstly give the
volume fractions of different constituents of the FGM cylinder and then
determine the expressions of material constants. By the use of the Voigt method
the corresponding analytical solutions of displacements in radical direction,
the strain and stress components and the perturbation magnetic field vector are
derived by the following. In numerical part, the influences of volume fraction
on displacement, stain and stress components and the magnetic perturbation
filed vector are investigated; indicated by the results, we can conclude that
the Poisson's ratio has a significant effect on the FGM cylinder's mechanical
behaviors. Moreover, by some appropriate choices of the material constants it
can be found that the obtained results in this paper can reduce to some special
cases given in previous literatures.
