The Reissner–Sagoci problem for a half-space under buried torsional forces

The article extends Reissner and Sagociʹs classical solution to the problem of a rigid circular punch bonded to a homogeneous, elastic isotropic half-space in which there is an axisymmetrical distribution of buried torsional forces. The surface of the half-space is free from stresses. The punch undergoes rotation due to the action of the internal loads. Solution of the problem is obtained by superposing the solutions of two simpler problems, viz the problem of the elastic half-space without the punch under the action of the prescribed torsional forces and the contact problem for the half-space with the rigid circular punch bonded to its surface, which is subjected to some tangential displacement. The form of this tangential displacement is determined from the solution of the ®rst problem. Exact solutions of both problems are derived by constructing the Greenʹs function, which corresponds to the action of a unit concentrated force uniformly distributed along a circular ring in the tangential direction. Speci®c examples are considered. Furthermore, an extension of these results to the case of a transversely isotopic half-space is presented.