The Thick Elastic Spherical Shell Under Concentrated Torques †
James H. Bramble · Proceedings of the London Mathematical Society · 1959
IN this paper we consider a thick elastic spherical shell subjected to concentrated torques at the end-points of a diameter. We prove that the solution is uniquely determined and derive an explicit expression for it. Extensive use is made of the fact that the stress function is closely related to an axially symmetric harmonic function, defined in a seven-dimensional space.