Stress analysis of rotating inhomogeneous transversely isotropic hollow spheres

An approach is proposed to the stress-strain analysis of hollow, arbitrarily inhomogeneous, transversely isotropic, either closed or open spheres that rotate about the axis of symmetry with a constant angular velocity. The stress problem for a rotating single-layer sphere and a segment of a sphere is solved as an example. The distribution of radial stresses and displacements along the radius of the sphere is analyzed depending on thickness variation at arbitrary points of the sphere.