Effect of second non‐singular term of mode I near the tip of a V‐notched crack

The effect of a second non-singular term of mode I in the vicinity of the tip of a V-notched crack is discussed. The undetermined eigenvector coefficients of singular and non-singular terms of eigenfunction expansion were calculated by the numerical analysis method using the reciprocal work contour integral method (RWCIM) based on Betti's reciprocal work theorem and finite-element analysis. This study demonstrates that the second non-singular term of mode I can have a significant effect on the size and shape of plastic zones as an additional fracture mechanics parameter along with the conventional parameter K.

[1]  Bernard Gross,et al.  Plane elastostatic analysis of V-notched plates , 1972 .

[2]  W. Carpenter.  Insensitivity of the reciprocal work contour integral method to higher order eigenvectors , 1995 .

[3]  R. S. Dunham,et al.  A contour integral computation of mixed-mode stress intensity factors , 1976, International Journal of Fracture.

[4]  An improved technique for determining higher order eigenvector coefficients , 1988, International Journal of Fracture.

[5]  P. Tong,et al.  Singular finite elements for the fracture analysis of V‐notched plate , 1980 .

[6]  Effects of non-singular stresses on crack-tip fields for pressure-sensitive materials, Part 1: Plane strain case , 1994 .

[7]  L. E. Culver,et al.  Design against fatigue failure in thermoplastic , 1972 .

[8]  Andrzej Seweryn,et al.  BRITTLE FRACTURE IN PLANE ELEMENTS WITH SHARP NOTCHES UNDER MIXED-MoDE LOADING , 1997 .

[9]  Z. Zhao,et al.  Determining the SIF of a V-notch from the results of a mixed-mode crack , 1992 .

[10]  P. Leevers,et al.  Inherent stress biaxiality in various fracture specimen geometries , 1982 .

[11]  A. J. Carlsson,et al.  Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials , 1973 .

[12]  Dai-Heng Chen,et al.  Stress intensity factors for V-notched strip under tension or in-plane bending , 1994 .

[13]  A. Kfouri.  Some evaluations of the elastic T-term using Eshelby's method , 1986 .

[14]  W. Carpenter.  Comments on the eigenvalue formulation of problems with cracks, V-notched cracks, and corners , 1994 .

[15]  K. Ravi-Chandar,et al.  Evaluation of elastic T-stress by the stress difference method , 1999 .

[16]  M. Williams,et al.  Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates in Extension , 1952 .

[17]  J. Rice,et al.  Slightly curved or kinked cracks , 1980 .

[18]  Andrzej Seweryn,et al.  Brittle fracture criterion for structures with sharp notches , 1994 .