Stress Intensity Factor for a Circumferential Crack in a Finite-Length Thin to Thick Walled Cylinder under an Arbitrary Biquadratic Stress Distribution on the Crack Surfaces

摘要

This paper presents the development of a practical method, by using prepared tabulated data, tocalculate the mode I stress intensity factor (SIF) for an inner surface circumferential crack in a finitelength cylinder. The crack surfaces are subjected to an axisymmetric stress with an arbitrary biquadraticradial distribution. The method was derived by applying the authors’ weight function for the crack. Thiswork is based on the thin shell theory and the Petroski-Achenbach method. Our method is valid over awide range of mean radius to wall thickness ratio, Rm/W ≥ 1, and for relatively short cracks with a/W ≤0.5. The difference between the SIF obtained by our method for the geometry and that from finite elementanalysis is within 5%. The method we developed describes the effect that cylinder length gives on the SIF.This effect needs to be considered for cylinders shorter than non-dimensional cylinder length βH≤ 5.