Weight functions and stress intensity factors for internal surface semi-elliptical crack in thick-walled cylinder

Abstract Calculation of stress intensity factors for a crack subjected to a complex stress distribution can be highly facilitated by using the weight function method. The method separates influences of a stress field and the geometry of a cracked body on a stress intensity factor. In this paper, mode I weight functions were derived for the deepest and surface points of an internal, radial-longitudinal, surface, semi-elliptical crack in an open-ended, thick-walled cylinder with internal radius to wall thickness ratio R i / t = 2.0. Generalized weight function expressions for deepest and surface points of the crack were utilized. A method of two reference stress intensity factors was applied to determine coefficients of the weight functions. The weight functions were validated for several crack face stress fields against finite element data. Closed-form relations for calculation of stress intensity factors were obtained for a variety of one-dimensional stress distributions applied to crack faces. The paper complements a set of previously published weight function solutions for cracks in cylinders with other radius to thickness ratios.

[1]  G. Glinka,et al.  Calculation of stress intensity factors by efficient integration of weight functions , 1992 .

[2]  D. Munz,et al.  On the calculation of crack opening displacement from the stress intensity factor , 1987 .

[3]  I. Raju,et al.  Stress Intensity Factors for Part-Through Surface Cracks in Hollow Cylinders , 1992 .

[4]  Xin Wang,et al.  Stress intensity factors and weight functions for longitudinal semi-elliptical surface cracks in thin pipes , 1996 .

[5]  A. Janne Carlsson,et al.  Weight Functions and Stress Intensity Factor Solutions , 1991 .

[6]  James C. Newman,et al.  Stress-Intensity Factors for Internal and External Surface Cracks in Cylindrical Vessels , 1982 .

[7]  A. P. Parker,et al.  Dimensionless stress intensity factors for cracked thick cylinders under polynomial crack face loadings , 1984 .

[8]  Satya N. Atluri,et al.  3D analyses of surface flaws in thick-walled reactor pressure-vessels using displacement-hybrid finite element method , 1979 .

[9]  G. Glinka,et al.  Weight Functions for an External Longitudinal Semi-Elliptical Surface Crack in a Thick-Walled Cylinder , 1997 .

[10]  Grzegorz Glinka,et al.  Weight functions for a surface semi-elliptical crack in a finite thickness plate , 1991 .

[11]  G. Glinka,et al.  Calculation of stress intensity factors for semielliptical cracks in a thick-wall cylinder , 1995 .

[12]  Chai Guozhong,et al.  Stress intensity factors for internal semi-elliptical surface cracks in pressurized thick-walled cylinders using the hybrid boundary element method , 1995 .

[13]  J. Rice,et al.  Some remarks on elastic crack-tip stress fields , 1972 .

[14]  H. Bueckner.  NOVEL PRINCIPLE FOR THE COMPUTATION OF STRESS INTENSITY FACTORS , 1970 .

[15]  G. Glinka,et al.  Weight Functions and Stress Intensity Factors for Longitudinal Semi-Elliptical Cracks in Thick-Wall Cylinders , 1995 .

[16]  G. Glinka,et al.  Determination of weight functions from reference stress intensity factors , 1991 .