Exact solutions for functionally graded pressure vessels in a uniform magnetic field

Analytical studies for magnetoelastic behavior of functionally graded material (FGM) cylindrical and spherical vessels placed in a uniform magnetic field, subjected to internal pressure are presented. Exact solutions for displacement, stress and perturbation of magnetic field vector in FGM cylindrical and spherical vessels are determined by using the infinitesimal theory of magnetoelasticity. The material stiffness and magnetic permeability obeying a simple power law are assumed to vary through the wall thickness and Poisson s ratio is assumed constant. Stresses and perturbation of magnetic field vector distributions depending on an inhomogeneous constant are compared with those of the homogeneous case and presented in the form of graphs. The inhomogeneous constant, which includes continuously varying volume fraction of the constituents, is empirically determined. The values used in this study are arbitrary chosen to demonstrate the effect of inhomogeneity on stresses and perturbation of magnetic field vector distributions.