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Research Papers: Design and Analysis

Engineering Approach Based on Reference Stress Concept for Calculating J and Crack Opening Displacement of Complex-Cracked Pipes

[+] Author and Article Information
Jae-Uk Jeong

Global Turbine R&D Center,
Doosan Heavy Industries & Construction,
22 DoosanVolvo-ro,
Seongsan-gu,
Changwon,
Gyeongnam 51711, South Korea

Jae-Boong Choi

School of Mechanical Engineering,
Sungkyunkwan University,
2066 Seobu-ro,
Jangan-gu,
Suwon,
Gyeonggi-do 16419, South Korea

Nam-Su Huh

Department of Mechanical System
Design Engineering,
Seoul National University of Science and Technology,
232 Gongneung-ro,
Nowon-gu,
Seoul 01811, South Korea
e-mail: nam-su.huh@seoultech.ac.kr

Do-Jun Shim

Structural Integrity Associates,
5215 Hellyer Avenue,
Suite 210,
San Jose, CA 95138

Yun-Jae Kim

Department of Mechanical Engineering,
Korea University,
145 Anam-ro,
Seongbuk-gu, Seoul 02841, South Korea

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received August 17, 2016; final manuscript received October 24, 2016; published online January 11, 2017. Assoc. Editor: David L. Rudland.

J. Pressure Vessel Technol 139(3), 031206 (Jan 11, 2017) (12 pages) Paper No: PVT-16-1139; doi: 10.1115/1.4035082 History: Received August 17, 2016; Revised October 24, 2016

In this study, an engineering approach for estimations of fracture mechanics parameters, i.e., J-integral and crack opening displacement (COD), for complex-cracked pipes was suggested based on reference stress concept, where stress-strain data of the material was used to assess structural integrity of complex-cracked pipes. In the present study, new reference loads that can reduce the dependency on strain hardening of the material have been suggested for complex-cracked pipes under each loading mode. By using the proposed optimized reference load for complex-cracked pipes, J-integral and COD estimation procedures have been proposed based on the reference stress concept together with the elastic solutions for complex-cracked pipes. The predicted J-integrals and CODs based on the proposed method have been validated against published experimental data and FE results using actual stress–strain data. Moreover, the predictions using the proposed methods are also compared with those using the existing solutions for simple through-wall cracks (TWCs) based on reduced thickness analogy concept.

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References

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Rudland, D. , Lukes, R. , Scott, P. , Olson, P. , Cox, A. , and Shim, D.-J. , 2012, “ Dissimilar Metal Weld Pipe Fracture Testing: Analysis of Results and Their Implications,” ASME Paper No. PVP2012-78140.
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Miller, A. G. , and Ainsworth, R. A. , 1989, “ Consistency of Numerical Results for Power-Law Hardening Materials and the Accuracy of the Reference Stress Approximation for J,” Eng. Fract. Mech., 32(2), pp. 233–247. [CrossRef]
Kim, Y. J. , and Budden, P. J. , 2002, “ Reference Stress Approximations for J and COD of Circumferential Through-Wall Cracked Pipes,” Int. J. Fract., 116(3), pp. 195–218. [CrossRef]
Kim, Y. J. , Huh, N. S. , and Kim, Y. J. , 2001, “ Crack Opening Analysis of Complex Cracked Pipes,” Int. J. Fract., 111(1), pp. 71–86. [CrossRef]
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Figures

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Fig. 1

Schematics of complex-cracked pipes [17,18]

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Fig. 6

Stress–strain curve for four different materials employed in the FE validation [23]

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Fig. 14

Comparisons of the CODs and J-integrals from among the proposed and the previous ERS methods, the FE analyses for actual complex-cracked pipe and a TWC pipe with reduced thickness, and Battelle test (only for COD) [23] for the Specimen No. 4114-2: (a) COD and (b) J-integral

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Fig. 15

Comparisons of the CODs and J-integrals from among the proposed and the previous ERS methods, the FE analyses for actual complex-cracked pipe and a TWC pipe with reduced thickness, and Battelle test (only for COD) [23] for the Specimen No. 4114-3, 4: (a) COD and (b) J-integral

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Fig. 2

Variation of h1(n)/h1(n = 1) according to strain hardening exponent

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Fig. 3

Variation of h2(n)/h2(n = 1) according to strain hardening exponent

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Fig. 4

Variation of H1 according to strain hardening exponent

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Fig. 5

Variation of H2 according to strain hardening exponent

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Fig. 7

Comparisons of the CODs and J-integrals from among the proposed and the previous ERS methods, the FE analyses for actual complex-cracked pipe and a TWC pipe with reduced thickness, and Battelle test (only for COD) [23] for the Specimen No. 4113-1: (a) COD and (b) J-integral

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Fig. 8

Comparisons of the CODs and J-integrals from among the proposed and the previous ERS methods, the FE analyses for actual complex-cracked pipe and a TWC pipe with reduced thickness, and Battelle test (only for COD) [23] for the Specimen No. 4113-2: (a) COD and (b) J-integral

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Fig. 9

Comparisons of the CODs and J-integrals from among the proposed and the previous ERS methods, the FE analyses for actual complex-cracked pipe and a TWC pipe with reduced thickness, and Battelle test (only for COD) [23] for the Specimen No. 4113-3: (a) COD and (b) J-integral

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Fig. 10

Comparisons of the CODs and J-integrals from among the proposed and the previous ERS methods, the FE analyses for actual complex-cracked pipe and a TWC pipe with reduced thickness, and Battelle test (only for COD) [23] for the Specimen No. 4113-4: (a) COD and (b) J-integral

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Fig. 11

Comparisons of the CODs and J-integrals from among the proposed and the previous ERS methods, the FE analyses for actual complex-cracked pipe and a TWC pipe with reduced thickness, and Battelle test (only for COD) [23] for the Specimen No. 4113-5: (a) COD and (b) J-integral

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Fig. 12

Comparisons of the CODs and J-integrals from among the proposed and the previous ERS methods, the FE analyses for actual complex-cracked pipe and a TWC pipe with reduced thickness, and Battelle test (only for COD) [23] for the Specimen No. 4113-6: (a) COD and (b) J-integral

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Fig. 13

Comparisons of the CODs and J-integrals from among the proposed and the previous ERS methods, the FE analyses for actual complex-cracked pipe and a TWC pipe with reduced thickness, and Battelle test (only for COD) [23] for the Specimen No. 4114-1: (a) COD and (b) J-integral

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Fig. 16

Comparisons of the predicted COD values by the proposed method with those from FE analyses for actual complex-cracked pipe and a TWC pipe with reduced thickness and from the previous ERS methods by Kim et al. [16] for complex-cracked pipes under (a) axial tension and (b) internal pressure

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Fig. 17

Comparisons of the predicted J values by the proposed method with those from FE analyses for actual complex-cracked pipe and a TWC pipe with reduced thickness and from the previous ERS methods by Kim et al. [16] for complex-cracked pipes under (a) axial tension and (b) internal pressure

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