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Research Papers: Design and Analysis

Finite Element Plastic Limit Loads of Complex Cracks in Pipes With Two-Layered Materials

[+] Author and Article Information
Da-Som Jeon

Department of Mechanical System
Design Engineering,
Seoul National University of
Science and Technology,
232 Gongneung-ro, Nowon-gu,
Seoul, 01811, 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

Sang-Min Lee

Department of Mechanical and Materials
Engineering,
Korea Institute of Nuclear Safety,
62 Gwahak-ro, Yuseong-gu,
Daejeon, 34142, 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 April 6, 2018; final manuscript received December 21, 2018; published online February 21, 2019. Assoc. Editor: Andrew J. Duncan.

J. Pressure Vessel Technol 141(2), 021201 (Feb 21, 2019) (10 pages) Paper No: PVT-18-1072; doi: 10.1115/1.4042444 History: Received April 06, 2018; Revised December 21, 2018

Based on the detailed three-dimensional (3D) finite element (FE) limit analyses, the present study investigates the plastic limit loads of complex-cracked pipes with two-layered materials for determining maximum load-carrying capacity or critical crack length of pipes with two-layered materials. The complex cracks in pipes with two-layered materials consist of a partial through-wall crack and 360-deg circumferential surface crack in the inner side of pipe in the same plane in pipe, which could be developed in the preemptive weld overlay region on the dissimilar metal weld (DMW) of nuclear pipe. In terms of FE limit analyses for complex-cracked pipes with two-layered materials, total thickness of pipe, depth of 360-deg internal surface crack, length of partial through-wall crack and the effect of strength mismatch between two materials are systematically considered in the present study. As for loading conditions, axial tension, global bending moment, and internal pressure are employed in the present FE analyses, and then, the confidence of the present FE procedure is confirmed by comparing the FE results with the existing solutions for complex cracks in single material. The results of the present FE plastic limit loads are compared with the existing solutions for complex-cracked pipes with two-layered materials. Also, a simple approach using equivalent single material based on the weighted average concept instead of using the properties of two materials is suggested for predicting plastic limit loads of two-layered materials. The present results can be applied to leak-before-break (LBB) analyses of nuclear piping with weld overlay.

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References

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King, C. , and Frederick, G. , 2005, “ Technical Basis for Preemptive Weld Overlays for Alloy 82/182 Butt Welds in PWRs (MRP-169),” EPRI Topical Report, Electric Power Research Institute, Palo Alto, CA, Report No. 1012843.
Shim, D. J. , Kurth, E. , Brust, F. , Wilkowski, G. , Csontos, A. , and Rudland, D. , 2009, “ Crack-Opening Displacement and Leak-Rate Calculations for Full Structural Weld Overlays,” ASME Paper No. PVP2009-77966.
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]
Deardorff, A. F. , Cofie, N. G. , Dijamco, D. G. , and Chintapalli, A. , 2006, “ Net Section Plastic Collapse Analysis of Two-Layered Materials and Application to Weld Overlay Design,” ASME Paper No. PVP2006-ICPVT-11-93454.
Hasegawa, K. , Li, Y. , Wilkowski, G. M. , and Deardorff, A. F. , 2009, “ Prediction of Plastic Collapse Moments for Circumferential Cracked Pipes With Weld Overlays,” ASME Paper No. PVP2009-77135.
Hibbitt, D., Karlsson, B., and Sorensen, P., 2014, “ ABAQUS User-Manual Release 6.14,” Dassault Systèmes Simulia Corp., Providence, RI.
Jeong, J. U. , Choi, J. B. , Huh, N. S. , and Kim, Y. J. , 2016, “ Stress Intensity Factor and Elastic Crack Opening Displacement Solutions of Complex Cracks in Pipe Using Elastic Finite-Element Analyses,” ASME J. Pressure Vessel Technol., 138(1), p. 011206. [CrossRef]
Kim, Y. J. , Huh, N. S. , and Kim, Y. J. , 2002, “ Quantification of Pressure-Induced Hoop Stress Effect on Fracture Analysis of Circumferential Through-Wall Cracked Pipes,” Eng. Fract. Mech., 69(11), pp. 1249–1267. [CrossRef]
Kim, Y. J. , Shim, D. J. , Huh, N. S. , and Kim, Y. J. , 2002, “ Plastic Limit Pressures for Cracked Pipes Using Finite Element Limit Analyses,” Int. J. Pressure Vessels Piping, 79(5), pp. 321–330. [CrossRef]
Jeong, J. U. , Choi, J. B. , Kim, M. K. , Huh, N. S. , and Kim, Y. J. , 2016, “ Plastic Influence Functions for Calculating J-Integral of Complex-Cracks in Pipe,” Int. J. Pressure Vessels Piping, 146, pp. 11–21. [CrossRef]

Figures

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Fig. 1

Schematics of complex-cracked pipes with two-layered materials subjected to axial tension, bending moment and internal pressure

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Fig. 2

Typical FE model of complex-cracked pipe with two-layered materials

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Fig. 3

Comparisons of FE plastic limit loads with existing solutions for complex-cracked pipes with single material under (a) axial tension and (b) global bending moment

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Fig. 4

Comparisons of FE plastic limit tensions with existing solution (Eq. (3)) as a function of tc/tDMW for each Rm/t (MF=1.5)

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Fig. 5

Comparisons of FE plastic limit moments with existing solution (Eq. (4)) as a function of tc/tDMW for each Rm/t (MF=1.5)

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Fig. 6

Comparisons of FE plastic limit pressures with existing solution (Eq. (5)) as a function of tc/tDMW for each Rm/t (MF=1.5)

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Fig. 7

Comparisons of FE plastic limit loads with existing solutions (Eqs. (3)(5)) for complex-cracked pipes with under-matched two-layered materials (MF=0.8, Rm/t =5): (a) axial tension, (b) global bending moment, and (c) internal pressure

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Fig. 8

Comparisons of plastic limit tensions from FE analyses, existing solutions, and engineering estimates based on the weighted average concept

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Fig. 9

Comparisons of plastic limit moments from FE analyses, existing solutions, and engineering estimates based on the weighted average concept

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Fig. 10

Comparisons of plastic limit pressures from FE analyses, existing solutions, and engineering estimates based on the weighted average concept

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Fig. 11

Schematic of reduced thickness analogy for a complex-cracked pipe with equivalent single material

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Fig. 12

Comparisons of the FE plastic limit loads using reduced thickness method with equivalent single material with the FE results for a complex-cracked pipe with two-layered materials (θ/π = 0.4): (a) axial tension and (b) global bending moment

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