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TECHNICAL PAPERS

Investigating the Effect of Crack Shape on the Interaction Behavior of Noncoplanar Surface Cracks Using Finite Element Analysis

[+] Author and Article Information
Walied A. Moussa, R. Bell, C. L. Tan

Department of Mechanical And Aerospace Engineering, Carleton University, Ottawa, Canada K1S 5B6

J. Pressure Vessel Technol 124(2), 234-238 (May 01, 2002) (5 pages) doi:10.1115/1.1427690 History: Received August 03, 2000; Revised August 31, 2001; Online May 01, 2002
Copyright © 2002 by ASME
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References

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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, pp. 239–247, Computational Mechanics Publications, Southampton, UK.
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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.
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, No. 2, pp. 468–475.
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.
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Leis, B. N., and Mohan, R., 1997, “Coalescence Conditions for Stress Corrosion Cracking Based on Interacting Crack Pairs,” Proc. ISOPE, Vol. 4, Quebec, Canada, pp. 607–613.
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,” ASTM Spec. Tech. Publ., pp. 428–446.
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.
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Newman, J. C., and Raju, I. S., 1986, “Stress Intensity Factor Equations for Cracks in Three-Dimensional Finite Bodies Subjected to Tension and Bending Loads,” Comp Methods in the Mech of Fracture, ed., S. N. Atluri.
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Figures

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Two parallel identical noncoplanar semi-elliptical surface cracks in an infinite plate with a finite thickness—(a) two noncoplanar surface cracks in an infinite plate with finite thickness; (b) section view of the semi-elliptic surface crack
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The finite element model of two noncoplanar interacting surface cracks in an infinite plate
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The effect of mesh sensitivity on the calculation of the interaction factor γQ—(a) the organization of different sub-zones within the interaction zone Ω; (b) variations of γQ with s/cQ for using different number of elements at subzone M
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Comparison of the values of γQ in the current work and the corresponding values found in published literature
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Variations of γQ with aQ/cQ for different values of the relative horizontal separation distance s/cQ at the inner tip of crack Q, ϕQ=180 deg—(a) remote tension; (b) pure bending
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Variations of γQ with aQ/cQ for different values of the relative horizontal separation distance s/cQ at the deepest point of crack Q, ϕQ=90 deg—(a) remote tension; (b) pure bending
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Variations of γQ with aQ/cQ for different values of the relative horizontal separation distance s/cQ at the outer tip of crack Q, ϕQ=0 deg—(a) remote tension; (b) pure bending
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Calculated Anm values for Eq. (6) under tension or bending loads with h/2cQ=0.3 and aQ/t=0.2

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