Stress Concentration of a Circular Solid Cylinder with Semicircular Notches Under Tension : (Stress Mitigations by Additional Notches)

Abstract

This paper deals with the stress concentration problem of a circular solid cylinder with a central notch and two supplemental notches under tension. Stress mitigations due to the interference effects of stress concentration are investigated. We consider the influences of the distances between a central notch and two supplemental notches and the radii of the semicircular notches on the mitigations of stress concentration. The principle of the method of solution makes use of distributing body forces in the interior of a solid cylinder in order to satisfy the boundary conditions of the notched surfaces, which are imagined in the solid cylinder with no notch. For this purpose, we apply Green's functions for body force problems of an infinite solid cylinder. Numerical results are shown for stress concentration factors of the problem.