A simple method for calculating the stress intensity factors for complex 3D cracks at a notch

Abstract When performing a safety/durability assessment of structural components it is often necessary to consider both fatigue crack propagation and failure by fast fracture among the possible modes of failure. In this context the stress intensity factors at crack tips are important parameters for estimating residual life and criticality. The purpose of this paper is to present a simple method for calculating the mode I stress intensity factors ( K ) for through-the-thickness flaws with an oblique (part) elliptical crack front. A range of examples are presented to demonstrate the accuracy of this method.

[1]  Cheol Hwan Kim,et al.  Stress intensity factors for elliptical arc through cracks in mechanical joints by virtual crack closure technique , 2002 .

[2]  M. G. Yan,et al.  Weight function method for three dimensional crack problems—I. Basic formulation and application to an embedded elliptical crack in finite plates , 1989 .

[3]  J. Rice,et al.  The Part-Through Surface Crack in an Elastic Plate , 1972 .

[4]  S. Fawaz,et al.  Application of the virtual crack closure technique to calculate stress intensity factors for through cracks with an oblique elliptical crack front , 1998 .

[5]  Shaker A. Meguid,et al.  A novel approach for evaluating weight functions for cracks in finite bodies , 1998 .

[6]  S. A. Fawaz,et al.  Stress intensity factor solutions for part-elliptical through cracks , 1999 .

[7]  J. C. Newman,et al.  Small-Crack Effects in High-Strength Aluminum Alloys A NASA/CAE Cooperative Program , 1994 .

[8]  Jb Chang,et al.  Part-Through Crack Fatigue Life Prediction , 1979 .

[9]  Shoichi Yoshida,et al.  Analysis of stress intensity factors for surface cracks in pre/post penetration. , 1988 .

[10]  W. Zhao,et al.  STRESS INTENSITY FACTORS FOR CORNER CRACKS AT A SEMI‐CIRCULAR NOTCH UNDER STRESS GRADIENTS , 1990 .

[11]  W. Fujimoto.  DETERMINATION OF CRACK GROWTH AND FRACTURE TOUGHNESS PARAMETERS FOR SURFACE FLAWS EMANATING FROM FASTENER HOLES , 1976 .

[12]  A. F. Grandt,et al.  Transition of Part-Through Cracks at Holes into Through-the-Thickness Flaws , 1984 .

[13]  James C. Newman,et al.  Stress intensity factors for large aspect ratio surface and corner cracks at a semi-circular notch in a tension specimen , 1991 .

[14]  K. N. Shivakumar,et al.  A virtual crack-closure technique for calculating stress intensity factors for cracked three dimensional bodies , 1988, International Journal of Fracture.

[15]  Nisitani Hironobu,et al.  Stress concentration of a strip with a single edge notch , 1987 .