Torsion of an Elastic Thick Walled Cylinder with a Semicircular Notch

Abstract

This paper deals with the stress concentration problem of an elastic circular thick walled cylinder with a semicircular notch under torsion. A method of solution is presented for the problem by applying Green's functions for axisymmetric torsional body force problems of an elastic circular hollow cylinder. The Green's functions are defined as solutions to the elastic problem of a circular hollow cylinder subjected to torsional body forces acting along two circles. The Green's functions are shown in this paper. The stress concentration problem is formulated by an integral equation in terms of the Green's functions. Investigations are made on the influences of the inner radius of the cylinder and the radius of the notch on stress concentrations.