Stress intensity factors for large aspect ratio surface and corner cracks at a semi-circular notch in a tension specimen

Abstract Stress intensity factor solutions for semi-elliptic surface and quarter-elliptic corner cracks emanating from a semi-circular notch in a tension specimen are presented. A threedimensional finite-element analysis in conjunction with the equivalent domain integral was used to calculate stress intensity factors (SIF). SIF solutions for surface or corner crack (crack length to depth ratio of 2) at a notch are presented for a wide range of crack sizes and notch radii. Results showed that the SIF are larger for larger crack lengths and for larger notch radii. The SIF are nearly constant all along the crack front for deep surface cracks and for all corner cracks analysed.

[1]  James C. Newman,et al.  Stress-intensity factors for two symmetric corner cracks , 1979 .

[2]  James C. Newman,et al.  Evaluation of finite-element models and stress-intensity factors for surface cracks emanating from stress concentrations , 1990 .

[3]  Kunigal N. Shivakumar,et al.  Treatment of singularities in cracked bodies , 1990 .

[4]  J. Newman,et al.  Stress-Intensity Factor Equations for Cracks in Three-Dimensional Finite Bodies , 1983 .

[5]  Satya N. Atluri,et al.  An alternating method for analysis of surface-flawed aircraft structural components , 1983 .

[6]  H. G. Delorenzi Energy release rate calculations by the finite element method , 1985 .

[7]  T. E. Kullgren,et al.  Theoretical and Experimental Analysis of Surface Cracks Emanating from Fastener Holes , 1977 .

[8]  X. R. Wu,et al.  Stress intensity factors for half-elliptical surface cracks subjected to complex crack face loadings , 1984 .

[9]  S. Atluri,et al.  Stress-intensity factors for small surface and corner cracks in plates , 1989 .

[10]  B. Annigeri,et al.  Surface integral and finite element hybrid method for two- and three-dimensional fracture mechanics analysis , 1988, International Journal of Fracture.

[11]  Satya N. Atluri,et al.  Analytical solution for embedded elliptical cracks, and finite element alternating method for elliptical surface cracks, subjected to arbitrary loadings , 1983 .

[12]  S. Atluri,et al.  CALCULATION OF FRACTURE MECHANICS PARAMETERS FOR AN ARBITRARY THREE-DIMENSIONAL CRACK, BY THE ‘EQUIVALENT DOMAIN INTEGRAL’ METHOD , 1987 .

[13]  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.