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Research Papers: Design and Analysis

Simplified Stress Categorization Using a Single Linear Elastic Analysis

[+] Author and Article Information
M. M. Hossain1

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

W. D. Reinhardt, R. Seshadri

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

1

Corresponding author.

J. Pressure Vessel Technol 131(6), 061204 (Oct 13, 2009) (10 pages) doi:10.1115/1.4000199 History: Received July 23, 2008; Revised May 09, 2009; Published October 13, 2009

The ASME Boiler and Pressure Vessel Code (code) provides guidelines for the classification of linear elastic stresses into primary, secondary, and peak stresses. Although these guidelines cover a wide range of pressure containing components, the guidelines are sometimes difficult to employ for three-dimensional components with complex geometry. This paper uses the mα-tangent method, an assessment of constraint in the component, based on limit load multiplier estimates as a stress classification tool. The method is applied to several practical pressure vessel components from simple to relatively complex geometric configurations. The results compare well with those obtained by conventional techniques, e.g., inelastic finite element analysis.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Finite element stress linearization

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Figure 2

Regions of lower and upper bounds of mα(Rα=mα/m)

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Figure 3

The constraint map

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Figure 4

Reference two-bar structure (18)

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Figure 5

The mα-tangent construction

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Figure 6

Stress distribution ahead of notch tip

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Figure 7

Thick walled cylinder: (a) geometry and (b) finite element model

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Figure 8

Torispherical head: (a) geometry and (b) finite element model (axisymmetric)

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Figure 9

Reinforced nozzle on a hemispherical head: (a) geometry and (b) finite element model

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Figure 10

Oblique nozzle on a cylindrical vessel from Ref. 22: (a) geometry and (b) finite element mesh

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