Stress Concentration of a Finite Solid Cylinder with the Form of a Specimen Under Torsion

Abstract

This paper deals with the stress concentration problem of a circular solid cylinder with the form of a specimen subjected to torsion by a pair of rigid chucks. A method of solution is developed for the problem by using Green's functions for torsional body force problems of an infinite thick plate. The method of solution is said to be a kind of body force method, charge simulation method, or indirect boundary element method with fictious boundaries. Numerical results are shown systematically for various sized of the solid cylinder. Consideration is given to the influences of the radii at the shoulder and sizes of the solid cylinder on the stress concentration factors and on the positions where the maximum stress appears. The convergency of solution by the present method is also investigated.