Stress concentrations of a finite solid cylinder with a form of a test piece specimen under torsion.

Abstract

This paper deals with the stress concentration problem of a circular solid cylinder with a form of a test piece specimen subjected to torsion by a pair of rigid chuchs. 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 the so-called body force method, charge simulation method, indirect boundary element method with fictitious boundaries and so on. Numerical results are shown systematically for various sizes of the solid cylinder. Considerations are made for the influences of the radii at the stepped parts and sizes of the solid cylinder on the stress concentration factors and on the positions where the maximum stress appears. The convergency of solutions by the present method is also investigated.