The Stress Singularity in a Stepped Bar Under Impact Torsion

Abstract

An impact torsion problem for a stepped bar composed of two semi-infinite bars bonded completely at each end is investigated. A stress singularity occurs at the corner of the bar. Therefore, the stress analysis proceeds considering this stress singularity by making use of the series expansion technique, and the problem is reduced to the infinite set of systems of linear equations for each time step. The generalized stress intensity factor for the corner, which is similar to the stress intensity factor for a crack, is defined. The values of the generalized stress intensity factor, the displacement and the stresses are shown for various values of the mechanical and geometrical properties of the bars.