Growth evaluation of multiple interacting surface cracks. Part II: Growth evaluation of parallel cracks

In Part I of the current work, experiments on fatigue crack growth from notches and crack growth simulation for a coalesced crack with re-entrant portion were conducted. It was revealed that the growth rate in area is the same for the same applied stress and area of crack face. The main conclusion was that a crack with a re-entrant portion can be replaced with a semi-elliptical crack of the same area for the growth prediction. In this study, the influence of the interaction on the growth of semi-elliptical/semi-circular surface cracks in the parallel position was investigated. The stress intensity factor for various relative positions and shapes was evaluated by finite element analyses, and the magnitude of the interaction was quantified. Then a crack growth simulation for parallel surface cracks was developed. It was revealed that the magnitude of the interaction increases continuously during the crack growth and that, for a growth prediction, the parallel surface cracks can be replaced with a single crack of the same size on the projected plane when the relative spacing is close enough. It was concluded that the simulation can estimate the crack growth of interacting cracks and the replacement can be carried out when the offset distance is less than the crack depth.

[1]  R. N. Parkins,et al.  CRACK INTERACTION, COALESCENCE AND MIXED MODE FRACTURE MECHANICS , 1996 .

[2]  F. M. Burdekin,et al.  Engineering critical analyses to BS 7910 — the UK guide on methods for assessing the acceptability of flaws in metallic structures , 2000 .

[3]  Brian N. Leis,et al.  Mixed-mode stress intensity factors for interacting semi-elliptical surface cracks in a plate , 1993 .

[4]  Sia Nemat-Nasser,et al.  Interacting dissimilar semi-elliptical surface flaws under tension and bending , 1982 .

[5]  P. C. Paris,et al.  A Critical Analysis of Crack Propagation Laws , 1963 .

[6]  Makoto Isida,et al.  Analysis of Stress Intensity Factors for Plates Containing Random Array of Cracks , 1970 .

[7]  Walied A. Moussa,et al.  Investigating the Effect of Crack Shape on the Interaction Behavior of Noncoplanar Surface Cracks Using Finite Element Analysis , 2002 .

[8]  R. N. Parkins.  The application of stress corrosion crack growth kinetics to predicting lifetimes of structures , 1989 .

[9]  W. Fichter,et al.  A finite-element alternating method for two dimensional mode I crack configurations , 1989 .

[10]  Some characteristics of fatigue crack propagation of surface cracks , 1992 .

[11]  Masayuki Kamaya.  Evaluation of Coalescence Criteria for Parallel Cracks , 2002 .

[12]  A. F. Grandt,et al.  An Experimental and Numerical Investigation of the Growth and Coalescence of Multiple Fatigue Cracks at Notches , 1986 .

[13]  H. Kitagawa,et al.  Small Randomly Distributed Cracks in Corrosion Fatigue , 1978 .

[14]  M. Perl,et al.  Interaction Effects in Combined Arrays of Radial and Longitudinal Semi-Elliptical Surface Cracks in Pressurized Thick-Walled Cylinder , 1997 .

[15]  Wole Soboyejo,et al.  THE PROPAGATION OF NON‐COPLANAR SEMI‐ELLIPTICAL FATIGUE CRACKS , 1991 .

[16]  R. Bell,et al.  Fatigue crack growth and coalescence at notches , 1992 .

[17]  I. C. Howard,et al.  An examination of methods of assessing interacting surface cracks by comparison with experimental data , 1996 .

[18]  Masayuki Kamaya,et al.  Stress Intensity Factors of Interacting Parallel Surface Cracks , 2002 .

[19]  Nao-Aki Noda,et al.  Variation of the stress intensity factor along the crack front of interacting semi-elliptical surface cracks , 2001 .

[20]  Masayuki Kamaya,et al.  A CRACK GROWTH EVALUATION METHOD FOR INTERACTING MULTIPLE CRACKS , 2003 .

[21]  P. R. Frise,et al.  Modelling fatigue crack growth and coalescence in notches , 1992 .

[22]  M. A. Mahmoud,et al.  Quantitative prediction of growth patterns of surface fatigue cracks in tension plates , 1988 .

[23]  Masayuki Kamaya.  Influence of the Interaction on Stress Intensity Factor of Semi-Elliptical Surface Cracks , 2005 .

[24]  Masayuki Kamaya.  Flaw Proximity Rules for Parallel Surface Cracks Based on Elastic, Elastic-Plastic Fracture Mechanics and Limit Load Analyses , 2006 .

[25]  Masayuki Kamaya,et al.  Influence of interaction between multiple cracks on stress corrosion crack propagation , 2002 .

[26]  Mark Kachanov,et al.  Three-dimensional interactions of a crack front with arrays of penny-shaped microcracks , 1991 .

[27]  Wole Soboyejo,et al.  A numerical investigation of the interaction and coalescence of twin coplanar semi-elliptical fatigue cracks , 1989 .

[28]  Wole Soboyejo,et al.  Fatigue crack propagation of coplanar semi-elliptical cracks in pure bending , 1990 .

[29]  宮園 昭八郎,et al.  798. 複数表面欠陥からの疲労亀裂伝播挙動評価法,(I) , 1985 .

[30]  Satya N. Atluri,et al.  Multiple surface cracks in pressure vessels , 1984 .

[31]  Toshihisa Nishioka,et al.  Finite Element Alternating Method for Interacting Surface Cracks , 2007 .

[32]  M. Kamaya,et al.  A simulation on growth of multiple small cracks under stress corrosion , 2004 .

[33]  Masayuki Kamaya,et al.  Growth evaluation of multiple interacting surface cracks. Part I: Experiments and simulation of coalesced crack , 2008 .

[34]  G. Bezine,et al.  Advantages of the J-integral approach for calculating stress intensity factors when using the commercial finite element software ABAQUS , 2005 .

[35]  James R. Farr.  What's new in design requirements in the 1986 edition and 1986 addenda of section III, Div. 1, of the ASME boiler and pressure vessel code , 1989 .

[36]  Yasuo Ochi,et al.  AN EXPERIMENTAL AND STATISTICAL INVESTIGATION OF SURFACE FATIGUE CRACK INITIATION AND GROWTH , 1985 .