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RESEARCH PAPERS

Local Limit-Load Analysis Using the mβ Method

[+] Author and Article Information
R. Adibi-Asl1

Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NL, A1B 3X5 Canadaradibi@engr.mun.ca

R. Seshadri

Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NL, A1B 3X5 Canada

1

Corresponding author.

J. Pressure Vessel Technol 129(2), 296-305 (Jul 20, 2006) (10 pages) doi:10.1115/1.2716434 History: Received February 16, 2006; Revised July 20, 2006

Several upper-bound limit-load multipliers based on elastic modulus adjustment procedures converge to the lowest upper-bound value after several linear elastic iterations. However, pressure component design requires the use of lower-bound multipliers. Local limit loads are obtained in this paper by invoking the concept of “reference volume” in conjunction with the mβ multiplier method. The lower-bound limit loads obtained compare well to inelastic finite element analysis results for several pressure component configurations.

Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

A body with elastic–perfectly plastic material

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Figure 2

Variation of mβ with iteration variable for different value of β

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Figure 3

Total and reference volume

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Figure 4

Variation of m0 and m″ with respect to elastic iterations

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Figure 5

Variation of m2″ and m20 with respect to V¯η

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Figure 6

Variation of G20 with respect to V¯η

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Figure 7

Variation of limit-load multipliers, thick-walled cylinder

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Figure 8

Variation of multipliers versus V¯η (Iteration No. 5), thick cylinder

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Figure 9

Variation of G20 versus V¯η (Iteration No. 5), thick-walled cylinder

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Figure 10

Variation of limit-load multipliers with iterations, flat thin head

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Figure 11

Variation of multipliers versus V¯η (Iteration No. 15), flat thin head

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Figure 12

Variation of G20 versus V¯η (Iteration No. 15), flat thin head

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Figure 13

Variation of limit-load multipliers with iterations, torispherical head

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Figure 14

Variation of multipliers versus V¯η (Iteration No. 20), torispherical head

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Figure 15

Variation of G20 versus V¯η (Iteration No. 20), torispherical head

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Figure 16

Variation of limit-load multipliers with iterations, plate with a hole

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Figure 17

Variation of G20 versus V¯η (Iteration No. 20), plate with a hole

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Figure 18

Variation of multipliers versus V¯η (Iteration No. 20), plate with a hole

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Figure 19

Variation of limit-load multipliers with iterations, compact tension specimen

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Figure 20

Variation of multipliers versus V¯η (Iteration No. 20), compact tension specimen

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Figure 21

Variation of G20 versus V¯η (Iteration No. 20), compact tension specimen

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Figure 22

Variation of limit-load multipliers with iterations, plate with multiple cracks

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Figure 23

Variation of multipliers versus V¯η (Iteration No. 25), plate with multiple cracks

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Figure 24

Variation of G20 versus V¯η (Iteration No. 25), plate with multiple cracks

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Figure 25

Plasticity spread at limit load for: (top) Flat thin head, (middle) plate with a hole, and (bottom) plate with multiple cracks

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