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Research Papers: Materials and Fabrication

Influence of the Interaction on Stress Intensity Factor of Semielliptical Surface Cracks

[+] Author and Article Information
Masayuki Kamaya

 Institute of Nuclear Safety System, Inc., 64 Sata, Mihama-cho, Mikata-gun, Fukui 919-1205, Japan

J. Pressure Vessel Technol 130(1), 011406 (Jan 30, 2008) (7 pages) doi:10.1115/1.2826424 History: Received January 04, 2006; Revised October 11, 2006; Published January 30, 2008

The interaction between multiple surface cracks is an important consideration in the cracking behavior due to thermal fatigue and stress corrosion cracking. However, it is difficult to evaluate the intensity of the interaction quantitatively because there are many factors, such as the relative position, size, and geometry of the cracks. Furthermore, the influence of the interaction differs with the crack tip position along the front. In this study, to investigate the intensity of interaction, the stress intensity factor (SIF) of interacting semielliptical surface cracks was evaluated by the finite element method and finite element alternating method. These methods enable us to evaluate the SIF of interacting cracks for various conditions. The analysis results reveal that the change in the averaged SIF along the crack front caused by coalescence of two cracks can be estimated from the change in the area size. The maximum interaction can be estimated by a simple addition of the area size of two cracks regardless of the loading condition and relative crack size. To exclude the conservativeness caused by the current combination rule, new criteria are shown.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 6

Normalized SIFs along the crack front under bending stress (a1=a2). (a) Bending (a1∕c1=0.5). (b) Bending (a1∕c1=0.8).

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Figure 7

Change in averaged SIFs Fm with distance between two cracks

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Figure 8

Change in averaged SIFs Fm with relative size of two cracks

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Figure 9

Averaged SIFs of surface cracks having various crack front shapes

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Figure 10

Change in averaged SIFs Fm(1+2) with distance between two cracks (tensile stress)

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Figure 11

Change in averaged SIFs Fm(1+2) with distance between two cracks (bending stress)

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Figure 12

Relationship between area of combined crack and distance between the cracks (a1∕c1=a2∕c2=0.8)

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Figure 1

Geometry of interacting surface cracks. (a) S>0. (b) S=0.

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Figure 2

Geometry of a plate for interacting cracks

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Figure 3

Finite element mesh for FEAM analyses (for the separated crack model). (a) Whole view. (b) Magnified view. (c) Sight A.

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Figure 4

Finite element mesh for FEM analyses (for the combined crack model). (a) Whole view. (b) Magnified view.

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Figure 5

Normalized SIFs along the crack front under tensile stress (a1=a2). (a) Tension (a1∕c1=0.5). (b) Tension (a1∕c1=0.8).

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Figure 13

Relationship between area of combined crack and relative crack size (a1∕c1=a2∕c2=0.8)

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