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Research Papers: Design and Analysis

On Shakedown, Ratchet and Limit Analyses of Defective Pipeline

[+] Author and Article Information
Haofeng Chen1

Department of Mechanical Engineering,  University of Strathclyde, Glasgow, G1 1XJ, UKhaofeng.chen@strath.ac.uk

Weihang Chen, Tianbai Li, James Ure

Department of Mechanical Engineering,  University of Strathclyde, Glasgow, G1 1XJ, UK

1

Corresponding author.

J. Pressure Vessel Technol 134(1), 011202 (Dec 01, 2011) (8 pages) doi:10.1115/1.4004801 History: Received May 05, 2011; Revised July 04, 2011; Published December 01, 2011; Online December 01, 2011

In this study, the limit load, shakedown, and ratchet limit of a defective pipeline subjected to constant internal pressure and a cyclic thermal gradient are analyzed. Ratchet limit and maximum plastic strain range are solved by employing the new linear matching method (LMM) for the direct evaluation of the ratchet limit. Shakedown and ratchet limit interaction diagrams of the defective pipeline identifying the regions of shakedown, reverse plasticity, ratcheting, and plastic collapse mechanism are presented, and parametric studies involving different types and dimensions of part-through slot in the defective pipeline are investigated. The maximum plastic strain range over the steady cycle with different cyclic loading combinations is evaluated for a low cycle fatigue assessment. The location of the initiation of a fatigue crack for the defective pipeline with different slot type is determined. The proposed linear matching method provides a general-purpose technique for the evaluation of these key design limits and the plastic strain range for the low cycle fatigue assessment. The results for the defective pipeline shown in the paper confirm the applicability of this procedure to complex 3-D structures.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

The geometry of a pipeline with part-through slot subjected to internal pressure and cyclic thermal load

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Figure 2

The finite element mesh for a pipeline with part-through slot: (a) small slot; (b) circumferential slot; (c) axial slot; and (d) large area slot

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Figure 3

The cyclic thermal loading history for defective pipeline

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Figure 4

The ratchet limit boundary for small slot case

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Figure 5

abaqus verification using step-by-step analysis for: (a) the shakedown and ratchet limit (b) reverse plasticity and ratchet limit, and (c) reverse plasticity limit “AB

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Figure 6

Shakedown and ratchet limit interaction curve for defective pipeline with shallow type slot

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Figure 7

Shakedown and ratchet limit interaction curve of part-through slot with different dimensions: (a) small slot; (b) circumferential slot; (c) axial slot; and (d) large area slot

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Figure 8

Failure pattern at the limit state for defective pipeline: (a) small slot; (b) circumferential slot; (c) axial slot; and (d) large area slot

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Figure 9

Maximum equivalent plastic strain range against temperature range for (a) cyclic thermal load only (all defective pipelines); (b) cyclic thermal and mechanical load (defect-free); (c) cyclic thermal and mechanical load (small slot); (d) cyclic thermal and mechanical load (circumferential slot); (e) Cyclic thermal and mechanical load (axial slot); and (f) cyclic thermal and mechanical load (large area slot)

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Figure 10

The location of the initiation of a fatigue crack under cyclic thermal load and constant internal pressure (a) small slot; (b) circumferential slot; (c) axial slot; and (d) large area slot

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