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Research Papers: Design and Analysis

Zero Curvature Method and Protection Criterion Against Plastic Collapse

[+] Author and Article Information
Cheng-Hong Duan

College of Mechanical Engineering,
Beijing University of Chemical Technology,
Beijing 100029, China

Yu Sun

HuaLu Engineering & Technology Co., LTD.,
Shaanxi 710065, China

Ming-Wan Lu

Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received October 30, 2015; final manuscript received October 26, 2016; published online November 24, 2016. Assoc. Editor: Yun-Jae Kim.

J. Pressure Vessel Technol 139(3), 031204 (Nov 24, 2016) (9 pages) Paper No: PVT-15-1244; doi: 10.1115/1.4035131 History: Received October 30, 2015; Revised October 26, 2016

A zero curvature method to estimate the limit load is introduced in detail, and a uniform computing process for computerization of the zero curvature method is presented. A new protection criterion against plastic collapse is proposed. A lot of examples are performed and discussed. The zero curvature load determined by the zero curvature method is a preferable definition of the limit load for perfectly plastic materials or the plastic load for strain strengthening materials. Both advantages of the ASME VIII-2 code and the EN-13445 standard are absorbed in the new protection criterion.

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Figures

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Fig. 1

Limit load and collapse load

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Fig. 2

Geometrical strengthening and weakening

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Fig. 3

Inference of abscissa scale to the P–w curve

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Fig. 4

Search of zero curvature point: (a) the P–w curve and (b) knee in standard coordinate

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Fig. 6

Allowable load ratios in limit load analysis: (a) RNSS example, Q345R material, (b) RNSS example, S30408 material, (c) RNES example, Q345R material; (d) RNES example, S30408 material, (e) TWC example, Q345R material, (f) TWC example, S30408 material, (g) PBB example, Q345R material, and (h) PBB example, S30408 material

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Fig. 7

Allowable load ratios in elastic–plastic stress analysis: (a) RNSS example, Q345R material, (b) RNSS example, S30408 material, (c) RNES example, Q345R material, (d) RNES example, S30408 material, (e) TWC example, Q345R material, and (f) TWC example, S30408 material, (g) PBB example, Q345R material, (h) PBB example, S30408 material

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Fig. 8

Comparison of the new criterion and the ASME's criterion: (a) 07MnNiMoDR, YUR = 0.803, (b) 13MnNiMoR, YUR = 0.684, (c) Q345R, YUR = 0.676, (d) Q245R, YUR = 0.6125, and (e) S30408, YUR = 0.394

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