Torsion of an Elastic Finite Solid Cylinder with a Semicircular Groove : Influences of Boundary Conditions on the Stress Concentrations

Abstract

This paper deals with the stress concentration problem of a finite solid cylinder having a semicircular notch under torsion. The problems treated here are (i) torsion by a pair of rigid chucks attached to the circular cylindrical surfaces and (ii) torsion by surface forces acting on the end faces. Numerical results are compared with the results for an infinite cylinder, and influences of boundary conditions and the length of a finite cylinder on the stress concentration factors are investigated. The principle in the method of solution developed here is an application of Green's functions for torsional body force problems of an infinite thick plate. That is, the method of solution is to distribute torsional body forces in the interior of an infinite thick plate so as to satisfy boundary conditions of a region which is to become a finite solid cylinder having a notch.