Torsion of a Rigid Cylinder Embedded in an Elastic Half Space

Abstract

A study is made of the axially symmetric torsion of a rigid cylinder partially embedded into a layered elastic half space. The problem is formulated on the basis of perfect bonding between the cylinder and the surrounding material. Integral representations are used to reduce the problem to the solution of two integral equations. Stress singularities of fractional order are obtained along the perimeter of the base of the cylinder. A numerical solution of the integral equations is used to obtain the torque-twist relationship for different embedment depths and for different values of the elastic constants.