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Research Papers: Materials and Fabrication

Determination of J-Integral Using the Load-COD Record for Circumferential Through-Wall Cracked Pipes

[+] Author and Article Information
Nam-Su Huh

Mechanical Engineering Division, Korea Atomic Energy Research Institute, 150 Deokjin-dong, Yusung-gu, Daejeon 305-353, Korea

Yun-Jae Kim1

Department of Mechanical Engineering, Korea University, 1-5Ka, Anam-dong, Sungbuk-ku, Seoul 136-701, Koreakimy0308@korea.ac.kr

Further information on material may not be relevant in the present work, as uniaxial stress-strain data are of main interest for the present work.

1

Corresponding author.

J. Pressure Vessel Technol 130(4), 041402 (Aug 22, 2008) (7 pages) doi:10.1115/1.2967830 History: Received August 29, 2006; Revised May 22, 2007; Published August 22, 2008

The present paper provides experimental J estimation equation based on the load-crack opening displacement (COD) record for testing the circumferential through-wall cracked pipe under combined tension and bending. Based on the limit analysis and the kinematically admissible rigid-body rotation field, the plastic η-factor for the load-COD record is derived and is compared with that for the load-load line displacement record. Comparison with the J results from detailed elastic-plastic finite element analysis shows that the proposed method based on the load-COD record provides reliable J estimates even for shallow cracks (small crack angle), whereas the conventional approach based on the load-load line displacement record gives erroneous results for shallow cracks. Thus, the proposed J estimation method could be recommended for testing the circumferential through-wall cracked pipe, particularly with shallow cracks.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

(a) Circumferential through-wall cracked pipe in combined tension and bending and relevant variables. (b) Definition of the crack opening displacement for the circumferential through-wall cracked pipes.

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Figure 2

(a) Statically admissible stress field satisfying equilibrium for limit load. ((b) and (c)) Kinematically admissible deformation fields for circumferential through-wall cracked pipes under combined tension and bending.

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Figure 3

True stress-strain curve for two materials, SA312 TP304 stainless steel and carbon steel, employed in the present work

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Figure 4

Typical three-dimensional FE mesh for the circumferential through-wall cracked pipe

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Figure 5

Variation of the error E(%) in J estimation based on load-load line displacement records. (a) Effect of crack length on E(%) and (b) effect of Rm∕t on E(%).

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Figure 6

Variation of the error E(%) in J estimation based on load-load line displacement records. (a) Effect of axial tension on E(%) and (b) effect of material on E(%).

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Figure 7

Variation of the error E(%) in J estimation based on load-COD records. (a) Effect of crack length on E(%) and (b) effect of Rm∕t on E(%).

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Figure 8

Variation of the error E(%) in J estimation based on load-COD records. (a) Effect of axial tension on E(%) and (b) effect of material on E(%).

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