Stress Intensity Factors for a Cylindrical Specimen with Annular Crack

Abstract

Durability of the structural element up to the crack onset depends on the local stresses in the notch area, whereas subsequent survivability of the element prior to final fracture is determined by stress intensity factor (SIF). It is advisable to obtain local stresses in the notch and SIF using common analytical solutions. In this regard, we derived the expressions for SIF in case of small and deep annular cracks and consider them as very sharp notches in conditions of tension, bending or torsion of a rod proceeding from G. Neuber classical solutions for small and deep notches. Dimensional classification of small and deep annular cracks is presented. Estimation of the errors revealed good agreement between the proposed relationships and corresponding data of finite element method. Keywords: specimen; shallow and deep annular cracks; stress concentration factors; estimation of errors.