Shakedown of a thick cylinder with a radial crosshole

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The shakedown behavior of a thin cylinder subject to constant pressure and cyclic thermal loading is described by the well known Bree diagram. In this paper, the shakedown and ratchetting behavior of a thin cylinder, a thick cylinder, and a thick cylinder with a radial crosshole is investigated by inelastic finite element analysis. Load interaction diagrams identifying regions of elastic shakedown, plastic shakedown, and ratchetting are presented. The interaction diagrams for the plain cylinders are shown to be similar to the Bree diagram. Incorporating a radial crossbore, Rc/Ri=0.1 or less, in the thick cylinder significantly reduces the plastic shakedown boundary on the interaction diagram but does not significantly affect the ratchet boundary. The radial crosshole, for the geometry considered in this study, can be regarded as a local structural discontinuity and neglected when determining the maximum shakedown or (primary plus secondary stress) load in design by analysis. This may not be apparent to the design engineer, and no obvious guidance, for determining whether a crosshole is a local or global discontinuity, is given in the codes.
LanguageEnglish
Article number011203
Number of pages5
JournalJournal of Pressure Vessel Technology
Volume131
Issue number1
DOIs
Publication statusPublished - Feb 2009

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Plastics
Loads (forces)
Finite element method
Engineers
Geometry
Hot Temperature

Keywords

  • elasticity
  • failure analysis
  • fatigue cracks
  • finite element analysis
  • plasticity
  • pressure vessels
  • shapes
  • structures

Cite this

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title = "Shakedown of a thick cylinder with a radial crosshole",
abstract = "The shakedown behavior of a thin cylinder subject to constant pressure and cyclic thermal loading is described by the well known Bree diagram. In this paper, the shakedown and ratchetting behavior of a thin cylinder, a thick cylinder, and a thick cylinder with a radial crosshole is investigated by inelastic finite element analysis. Load interaction diagrams identifying regions of elastic shakedown, plastic shakedown, and ratchetting are presented. The interaction diagrams for the plain cylinders are shown to be similar to the Bree diagram. Incorporating a radial crossbore, Rc/Ri=0.1 or less, in the thick cylinder significantly reduces the plastic shakedown boundary on the interaction diagram but does not significantly affect the ratchet boundary. The radial crosshole, for the geometry considered in this study, can be regarded as a local structural discontinuity and neglected when determining the maximum shakedown or (primary plus secondary stress) load in design by analysis. This may not be apparent to the design engineer, and no obvious guidance, for determining whether a crosshole is a local or global discontinuity, is given in the codes.",
keywords = "elasticity, failure analysis, fatigue cracks, finite element analysis, plasticity, pressure vessels, shapes, structures",
author = "Duncan Camilleri and Donald Mackenzie and Robert Hamilton",
year = "2009",
month = "2",
doi = "10.1115/1.3006947",
language = "English",
volume = "131",
journal = "Journal of Pressure Vessel Technology",
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}

Shakedown of a thick cylinder with a radial crosshole. / Camilleri, Duncan; Mackenzie, Donald; Hamilton, Robert.

In: Journal of Pressure Vessel Technology, Vol. 131, No. 1, 011203, 02.2009.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Shakedown of a thick cylinder with a radial crosshole

AU - Camilleri, Duncan

AU - Mackenzie, Donald

AU - Hamilton, Robert

PY - 2009/2

Y1 - 2009/2

N2 - The shakedown behavior of a thin cylinder subject to constant pressure and cyclic thermal loading is described by the well known Bree diagram. In this paper, the shakedown and ratchetting behavior of a thin cylinder, a thick cylinder, and a thick cylinder with a radial crosshole is investigated by inelastic finite element analysis. Load interaction diagrams identifying regions of elastic shakedown, plastic shakedown, and ratchetting are presented. The interaction diagrams for the plain cylinders are shown to be similar to the Bree diagram. Incorporating a radial crossbore, Rc/Ri=0.1 or less, in the thick cylinder significantly reduces the plastic shakedown boundary on the interaction diagram but does not significantly affect the ratchet boundary. The radial crosshole, for the geometry considered in this study, can be regarded as a local structural discontinuity and neglected when determining the maximum shakedown or (primary plus secondary stress) load in design by analysis. This may not be apparent to the design engineer, and no obvious guidance, for determining whether a crosshole is a local or global discontinuity, is given in the codes.

AB - The shakedown behavior of a thin cylinder subject to constant pressure and cyclic thermal loading is described by the well known Bree diagram. In this paper, the shakedown and ratchetting behavior of a thin cylinder, a thick cylinder, and a thick cylinder with a radial crosshole is investigated by inelastic finite element analysis. Load interaction diagrams identifying regions of elastic shakedown, plastic shakedown, and ratchetting are presented. The interaction diagrams for the plain cylinders are shown to be similar to the Bree diagram. Incorporating a radial crossbore, Rc/Ri=0.1 or less, in the thick cylinder significantly reduces the plastic shakedown boundary on the interaction diagram but does not significantly affect the ratchet boundary. The radial crosshole, for the geometry considered in this study, can be regarded as a local structural discontinuity and neglected when determining the maximum shakedown or (primary plus secondary stress) load in design by analysis. This may not be apparent to the design engineer, and no obvious guidance, for determining whether a crosshole is a local or global discontinuity, is given in the codes.

KW - elasticity

KW - failure analysis

KW - fatigue cracks

KW - finite element analysis

KW - plasticity

KW - pressure vessels

KW - shapes

KW - structures

U2 - 10.1115/1.3006947

DO - 10.1115/1.3006947

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JO - Journal of Pressure Vessel Technology

T2 - Journal of Pressure Vessel Technology

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