Torsion of an Elastic Solid Cylinder Embedded in an Elastic Half Space.

Abstract

The stress transfer between an elastic solid cylinder under axially symmetric torsion and an elastic half-space in which the cylinder is partially embedded is investigated. A method of solving the problem is obtained by using Green's functions for axisymmetric torsional body force problems of an elastic half-space and the fundamental solution for torsion problems of an elastic solid. The Green's functions and the fundamental solution are defined as solutions to a half-space and a full space subjected to a torsional body force acting along a circle, respectively. Effects of the shear moduli of elasticity on the stress distributions at the interface are shown. A method of solution is investigated to obtain stress singularity factors at the interface.