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Research Papers: Materials and Fabrication

Estimates of Elastic Crack Opening Displacements of Slanted Through-Wall Cracks in Plate and Cylinder

[+] Author and Article Information
Nam-Su Huh

School of Mechanical Design and Automation Engineering, Seoul National University of Technology, 172 Gongreung 2-dong, Nowon-gu, Seoul 139-743, Korea

Do-Jun Shim

 Engineering Mechanics Corporation of Columbus, 3518 Riverside Drive, Suite 202, Columbus, OH 43221

Yeon-Sik Yoo, Suhn Choi

 Korea Atomic Energy Research Institute, 1045 Daedeok Street, Yuseong-gu, Daejeon 305-353, Korea

Keun-Bae Park1

 Korea Atomic Energy Research Institute, 1045 Daedeok Street, Yuseong-gu, Daejeon 305-353, Koreakbpark2@kaeri.re.kr

1

Corresponding author.

J. Pressure Vessel Technol 132(2), 021401 (Jan 12, 2010) (10 pages) doi:10.1115/1.4000200 History: Received July 24, 2008; Revised June 05, 2009; Published January 12, 2010; Online January 12, 2010

This paper provides tractable solutions for elastic crack opening displacement (COD) of slanted through-wall cracks in plates and cylinders. The solutions were developed via detailed three dimensional elastic finite element analyses. The COD values were calculated along the thickness at the center of the crack. As for the loading conditions, only remote tension was considered for the plates, whereas remote tension, global bending moment, and internal pressure were considered for the cylinders. The finite element model employed in the present analysis was verified by using existing solutions for a cylinder with an idealized circumferential through-wall crack. The present results can be used to evaluate leak rates of slanted through-wall cracks, which can be used as a part of a detailed leak-before-break analysis considering more realistic crack shape development.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Typical behavior of crack growth in a cylinder

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Figure 2

Schematics of (a) slanted through-wall cracked plate under remote tension, and (b) slanted through-wall cracked cylinder under axial tension, global bending, and internal pressure

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Figure 3

Typical FE meshes employed in the present work

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Figure 4

Comparison of the elastic shape factor V from the present FE analysis with existing solutions for an idealized circumferential through-wall crack

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Figure 5

Variation in V values along the thickness of a slanted through-wall cracked plate under remote tension

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Figure 6

Variation in V values along the thickness of a slanted through-wall cracked cylinder under (a) axial tension, (b) global bending and (c) internal pressure for the case of Rm/t=5

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Figure 7

Variation in V values along the thickness of a slanted through-wall cracked cylinder under axial tension for the case of Rm/t=30 (effect of θ1/π on variation in V values)

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Figure 8

Variation in V values along the thickness of a slanted through-wall cracked cylinder under internal pressure for the case of θ1/π=0.125 (effect of Rm/t on variation in V values)

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