Investigating the Interaction Behavior Between Two Arbitrarily Oriented Surface Cracks Using Multilevel Substructuring

[+] Author and Article Information
Walied A. Moussa

Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada, T6G 2G8e-mail: Walied.Moussa@ualberta.ca

J. Pressure Vessel Technol 124(4), 440-445 (Nov 08, 2002) (6 pages) doi:10.1115/1.1465439 History: Received August 03, 2000; Revised December 18, 2001; Online November 08, 2002
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.


Beissner,  R. E., Teller,  C. M., Burkhardt,  G. L., Smith,  R. T., and Barton,  J. R., 1981, “Detection and Analysis of Electric-Current Perturbation Caused by Defects,” Eddy-Current Characterization of Materials and Structures ASTM Spec. Tech. Publ., 722, pp. 428–446.
Leis,  B. N., and Parkins,  R. N., 1998, “Mechanics and Material Aspects in Predicting Serviceability Limited by Stress Corrosion Cracking,” Fatigue Fract. Eng. Mater. Struct., 21(5), pp. 583–601.
Leis, B. N., and Mohan, R., 1997, “Coalescence Conditions for Stress Corrosion Cracking Based on Interacting Crack Pairs,” Proc., 7th ISOPE, Vol. 4, Quebec, Canada, pp. 607–613.
Soboyejo,  W. O., and Knott,  J. F., 1990, “Fatigue Crack Propagation of Coplanar Semi-Elliptical Cracks in Pure Bending,” Eng. Fract. Mech., 37, pp. 323–340.
Wang,  Y. Z., Atkinson,  J. D., Akid,  R., and Parkins,  R. N., 1996, “Crack Interaction, Coalescence and Mixed Mode Fracture Mechanics,” Fatigue Fract. Eng. Mater. Struct., 19, pp. 427–439.
Stonesifer,  R. B., Brust,  F. W., and Leis,  B. N., 1993, “Mixed Mode Stress Intensity Factors for Interacting Semi-Elliptical Surface Cracks in a Plate,” Eng. Fract. Mech., 45, pp. 357–380.
Liu,  H., Saka,  M., Abe,  H., Komura,  H., and Sakamoto,  I., 1999, “Analysis of Interaction of Multiple Cracks in a Direct Current Field and Nondestructive Evaluation,” ASME J. Appl. Mech., 66(2), pp. 468–475.
Jiang,  Z. D., Petit,  J., and Bezine,  G., 1991, “Stress Intensity Factors of two Parallel 3d Surface Cracks,” Eng. Fract. Mech., 40(2), pp. 345–354.
Tu,  S. T., and Dai,  S. H., 1994, “An Engineering Assessment of Fatigue Crack Growth of irregularly Oriented Multiple Cracks,” Fatigue Fract. Eng. Mater. Struct., 17, pp. 1235–1246.
Tu, S. T., and Cai, R. Y., 1988, “A Coupling of Boundary Elements and Singular Integral Equations for the Solution of Fatigue Cracked Body,” Boundary Elements X, Vol. 3, Computational Mechanics Publications, Southampton, pp. 239–247.
Isida,  M., Yoshida,  T., and Noguchi,  H., 1991, “Parallel Array of Semi-Elliptical Surface Cracks in Semi-Infinite Solid Under Tension,” Eng. Fract. Mech., 39, pp. 845–850.
Leek,  T. H., and Howard,  I. C., 1996, “An Examination of Methods of Assessing Interacting Surface Cracks by Comparison with Experimental Data,” Int. J. Pressure Vessels Piping, 68, pp. 181–201.
Noor,  A. K., Kamel,  H. A., and Fulton,  R. E., 1978, “Substructuring Techniques-Status and Projections,” Comput. Struct., 8, pp. 621–632.
Shivakumar,  K. N., and Raju,  I. S., 1992, “An Equivalent Domain Integral Method for Three-Dimensional Mixed-Mode Fracture Problems,” Eng. Fract. Mech., 42, pp. 935–959.
Newman,  J. C., and Raju,  I. S., 1981, “An Empirical Stress Intensity Factor Equation for the Surface Crack,” Eng. Fract. Mech., 15, pp. 185–192.
Kamei, A., and Yokobori, T., 1974, “Some Results on Stress Intensity Factors of Cracks and/or Slip Bands System,” Technical Report 10, Research Institute for Strength and Fracture of Materials, Tohoku University, Japan.


Grahic Jump Location
Two arbitrarily oriented semi-elliptical surface cracks in an infinite plate with a finite thickness—(a) two arbitrary semi-elliptic surface crack; (b) section view of the semi-elliptic surface crack; (c) crack Q or P submodel (272) elements; (d) the volume zone used to evaluate the J-integral around the crack front in 3-D
Grahic Jump Location
The finite element model of two arbitrarily oriented interacting surface cracks in an infinite plate—(a) global interaction zone Ω; (b) arbitrary cracks configurations
Grahic Jump Location
Comparison of present SIF and γQ values with literature solutions—(a) percentage deviation between present FE solution and Newman and Raju 15; (b) variations of γQ with h/2cQ ratio
Grahic Jump Location
Variations of γQ with θs for different values of the relative horizontal separation distance s/cQ at ϕQ=180 deg (inner point) under tension—(a) h/2cQ=0.3; (b) h/2cQ=0.5
Grahic Jump Location
Variations of γQ with θs for different values of the relative horizontal separation distance s/cQ at ϕQ=90 deg (deepest point) under tension—(a) h/2cQ=0.3; (b) h/2cQ=0.5
Grahic Jump Location
Variations of γQ with θs for different values of the relative horizontal separation distance s/cQ at ϕQ=0 deg (outer point) under tension—(a) h/2cQ=0.3; (b) h/2cQ=0.5




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In