A plastic load criterion for inelastic design by analysis

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

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.
LanguageEnglish
Pages39-45
Number of pages6
JournalJournal of Pressure Vessel Technology
Volume128
Issue number1
DOIs
Publication statusPublished - 2006

Fingerprint

Plastics
Strain hardening
Plastic deformation
Cantilever beams
Pressure vessels
Nozzles
Finite element method

Keywords

  • mechanical engineering
  • plastics
  • pressure vessels
  • design engineering

Cite this

@article{88411eae2a0443b9ba2fee62a59300aa,
title = "A plastic load criterion for inelastic design by analysis",
abstract = "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.",
keywords = "mechanical engineering, plastics, pressure vessels, design engineering",
author = "D. Mackenzie and H. Li",
year = "2006",
doi = "10.1115/1.2137768",
language = "English",
volume = "128",
pages = "39--45",
journal = "Journal of Pressure Vessel Technology",
issn = "0094-9930",
number = "1",

}

A plastic load criterion for inelastic design by analysis. / Mackenzie, D.; Li, H.

In: Journal of Pressure Vessel Technology, Vol. 128, No. 1, 2006, p. 39-45.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A plastic load criterion for inelastic design by analysis

AU - Mackenzie, D.

AU - Li, H.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - mechanical engineering

KW - plastics

KW - pressure vessels

KW - design engineering

UR - http://dx.doi.org/10.1115/1.2137768

U2 - 10.1115/1.2137768

DO - 10.1115/1.2137768

M3 - Article

VL - 128

SP - 39

EP - 45

JO - Journal of Pressure Vessel Technology

T2 - Journal of Pressure Vessel Technology

JF - Journal of Pressure Vessel Technology

SN - 0094-9930

IS - 1

ER -