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RESEARCH PAPERS

Limit Load Solutions for Pipes With Through-Wall Crack Under Single and Combined Loading Based on Finite Element Analyses

[+] Author and Article Information
Nam-Su Huh

SAFE Research Center, School of Mechanical Engineering, Sungkyunkwan University, 300 Chunchun-dong, Jangan-gu, Suwon, Kyonggi-do 440-746, Korea

Yun-Jae Kim

Department of Mechanical Engineering, Korea University, 1-5 ka, Anam-dong, Sungbuk-ku, Seoul 136-701, Korea

Young-Jin Kim

SAFE Research Center, School of Mechanical Engineering, Sungkyunkwan University, 300 Chunchun-dong, Jangan-gu, Suwon, Kyonggi-do 440-746, Koreayjkim50@skku.edu

J. Pressure Vessel Technol 129(3), 468-473 (Nov 16, 2006) (6 pages) doi:10.1115/1.2748828 History: Received November 24, 2005; Revised November 16, 2006

The present paper provides plastic limit load solutions for axial and circumferential through-wall cracked pipes based on detailed three-dimensional (3D) finite element (FE) limit analysis using elastic-perfectly plastic behavior. As a loading condition, axial tension, global bending moment, internal pressure, combined tension and bending, and combined internal pressure and bending are considered for circumferential through-wall cracked pipes, while only internal pressure is considered for axial through-wall cracked pipes. In particular, more emphasis is given for through-wall cracked pipes subject to combined loading. Comparisons with existing solutions show a large discrepancy in short through-wall crack (both axial and circumferential) for internal pressure. In the case of combined loading, the FE limit analyses results show the thickness effect on limit load solutions. Furthermore, the plastic limit load solution for circumferential through-wall cracked pipes under bending is applied to derive plastic η and γ factor of testing circumferential through-wall cracked pipes to estimate fracture toughness. Being based on detailed 3D FE limit analysis, the present solutions are believed to be meaningful for structural integrity assessment of through-wall cracked pipes.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic illustrations for a pipe with: (a) a circumferential through-wall crack; and (b) an axial through-wall crack

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Figure 2

Typical FE meshes, employed in the present FE analysis for pipes with: (a) circumferential through-wall cracks; and (b) axial through-wall cracks

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Figure 3

Comparison of the FE limit load solutions for circumferential through-wall cracked pipes: (a) internal pressure; (b) axial tension; and (c) global bending moment

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Figure 4

Yield locus for circumferential through-wall cracked pipes under combined tension and bending

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Figure 5

Yield locus for circumferential through-wall cracked pipes under combined internal pressure and bending

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Figure 6

Comparison of the FE limit load solutions for axial through-wall cracked pipes under internal pressure

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Figure 7

Comparison of ηpl and γ based on the proposed limit load solution with those based on existing limit load solution

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