The Effect of Uniform Magnetic Field on Pressurized FG Cylindrical and Spherical Vessels

Abstract

The stress analysis of functionally graded thick hollow cylindrical and spherical pressure vessels under the effectof uniform magnetic field are examined. These pressure vessels are designed in such a way that the materialproperties and magnetic permeability are exponentially graded in radial direction, provided that the innersurface is pure metal and the outer surface is pure ceramic. The differential equations with variable coefficientsobtained under these conditions are handled by both Complementary Functions Method and PseudospectralChebyshev Method. Benchmark solutions available in the literature for some special cases are used to confirmthe results. The effects of different mixture and uniform magnetic field on stresses and displacement distribution are shown in graphical form.