Impulsive Torsion of Semi-Infinite Body with Circular Rod : Analysis of Generalized Dynamic Stress Intensity Factor

Abstract

To discuss the initiation of crack in the material, it will be important to get the knowledge about the singular stress at the bottom of the sharp notch. In this paper, dynamic singular stress field is discussed on the periphery of the periphery of the function part of the semi-infinite rod fixed on the surface of the semi-infinite body. It is assumed that the one dimensional torsional stress wave travels down the rod and arrived at the junction. Stresses on the rod and the semi-infinite body are analyzed based on the dynamic theory of elasticity and Laplace transformation method. An integral equation is solved numerically in the transformed domain. Stresses near the function and the generalized stress intensity factor are calculated from the above results by using the numerical inversion of the Laplace transformation.