Stress analysis of functionally graded pressure vessels under the effect of uniform magnetic field

In this study, the static stress analysis of functionally graded thick cylindrical and spherical bodies subjected to an internal pressure under the effect of uniform magnetic field are discussed numerically. It is assumed that these bodies are made from a mixture of metal and ceramic and the all material properties and magnetic permeability are graded exponentially in raial direction. These conditions result in linear boundary value problems. The solution of these differential equation are handled by both the Complementary Function Method and the Pseudosplectal Chebyshev Method. The former is a method that allows the boundary value problem to be solved by converting the boundary value problem into an easily solvable initial value problem system, while the latter is based on the differential matrix approach and converts the differential equation into a system of linear equations by this approach. The solutions available in the literature are used to confirm the results obtained in this study. The effects of two different mixture materials and uniform magnetic field on stress and displacement distributions are shown in graphical form.