Pressurized Hollow Spherical Vessels with Arbitrary Radial Nonhomogeneity

摘要

The spherical symmetrical problem of FGM spheres is studied. This paper reduces the problem to a Fredholm integral equation. This method does not require any limitation on the material properties and applies to an arbitrarily varying Young's modulus and Poisson's ratio. Solving the resulting equation, the distribution of the stress components is obtainable. For a typically varying Young's modulus, numerical results of the radial and hoop stresses are evaluated and presented graphically. Our results indicate that change in the gradient of the FGM sphere does not produce a substantial variation of the radial stress, but strongly affects the hoop stress. The obtained results are helpful in designing FGM vessels for the purpose of structural integrity.