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RESEARCH PAPERS

A Plastic Load Criterion for Inelastic Design by Analysis

[+] Author and Article Information
Donald Mackenzie1

Department of Mechanical Engineering,  University of Strathclyde, Glasgow, United Kingdomd.mackenzie@strath.ac.uk

Hongjun Li

Department of Mechanical Engineering,  University of Strathclyde, Glasgow, United Kingdomhongjun.li.100@strath.ac.uk

1

Corresponding author.

J. Pressure Vessel Technol. 128(1), 39-45 (Oct 05, 2005) (7 pages) doi:10.1115/1.2137768 History: Received August 31, 2005; Revised October 05, 2005

The allowable plastic load in pressure vessel design by analysis is determined by applying a graphical construction to a characteristic load-deformation plot of the collapse behavior of the vessel. This paper presents an alternative approach to the problem. The plastic response is characterized by considering the curvature of a plot of plastic work dissipated in the vessel against the applied load. It is proposed that salient points of curvature correspond to critical stages in the evolution of the gross plastic deformation mechanism. In the proposed plastic work curvature (PWC) criterion of plastic collapse, the plastic load is defined as the load corresponding to zero or minimal plastic work curvature after yielding and the formation of plastic mechanisms have occurred. Application of the proposed criterion is illustrated by considering the elastic-plastic response of a simple cantilever beam in bending and a complex three-dimensional finite element analysis of a nozzle intersection. The results show that the proposed approach gives higher values of plastic load than alternative criteria when the material exhibits strain hardening. It is proposed that this is because the PWC criterion more fully represents the constraining effect of material strain hardening on the spread of plastic deformation.

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Copyright © 2006 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Twice elastic slope (TES) criterion

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Figure 2

Tangent intersection (TI) criterion

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Figure 3

Plastic work (PW) criterion

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Figure 4

Cantilever beam example structure

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Figure 5

Beam moment-plastic work curve

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Figure 6

Characteristic plot of load against plastic work

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Figure 7

Moment-plastic work plot for perfectly plastic beam with curvature superimposed

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Figure 8

Finite element model of piping branch junction

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Figure 9

Multilinear hardening material model

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Figure 10

Limit analysis pressure-plastic work curve with curvature superimposed

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Figure 11

Plastic analysis pressure-plastic work plot with curvature superimposed

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Figure 12

Plastic analysis in-plane bending-plastic curve with curvature superimposed

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Figure 13

Plastic analysis out-of-plane bending-plastic work plot with curvature superimposed

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Figure 14

Plastic analysis combined loading load parameter-plastic work curve with curvature superimposed

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