Elastic shakedown in pressure vessel components under non-proportional loading

Martin Muscat, Robert Hamilton

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Bounding techniques for calculating shakedown loads are of great importance in design since this eliminates the need for performing full elasto-plastic cyclic loading analyses. The classical Melan's lower bound theorem is widely used for calculating shakedown loads of pressure vessel components under proportional loading. Polizzotto extended the Melan's theorem to the case of non-proportional loading acting on a structure. This paper presents a finite element method, based on Polizzotto's theorem, to estimate the elastic shakedown load for a structure subjected to a combination of steady and cyclic mechanical loads. This method, called non-linear superposition, is then applied to investigate the shakedown behaviour of a pressure vessel component - a nozzle/cylinder intersection and that of a biaxially loaded square plate with a central hole. Results obtained for both problems are compared with those available in the literature and are verified by means of cyclic elasto-plastic finite element analysis.
LanguageEnglish
Pages95-102
Number of pages7
JournalASME Publications PVP
Volume447
Publication statusPublished - 2002

Fingerprint

Pressure vessels
Plastics
Finite element method
Nozzles

Keywords

  • Melan's theorum
  • non-proportional loading
  • Polizzotto's theorem
  • non-linear superposition

Cite this

@article{793aace8a08a41e5809fdc8926736f04,
title = "Elastic shakedown in pressure vessel components under non-proportional loading",
abstract = "Bounding techniques for calculating shakedown loads are of great importance in design since this eliminates the need for performing full elasto-plastic cyclic loading analyses. The classical Melan's lower bound theorem is widely used for calculating shakedown loads of pressure vessel components under proportional loading. Polizzotto extended the Melan's theorem to the case of non-proportional loading acting on a structure. This paper presents a finite element method, based on Polizzotto's theorem, to estimate the elastic shakedown load for a structure subjected to a combination of steady and cyclic mechanical loads. This method, called non-linear superposition, is then applied to investigate the shakedown behaviour of a pressure vessel component - a nozzle/cylinder intersection and that of a biaxially loaded square plate with a central hole. Results obtained for both problems are compared with those available in the literature and are verified by means of cyclic elasto-plastic finite element analysis.",
keywords = "Melan's theorum, non-proportional loading, Polizzotto's theorem, non-linear superposition",
author = "Martin Muscat and Robert Hamilton",
note = "10th International Conference on Pressure Vessel Technology",
year = "2002",
language = "English",
volume = "447",
pages = "95--102",
journal = "ASME Publications PVP",
issn = "0277-027X",
publisher = "American Society of Mechanical Engineers(ASME)",

}

Elastic shakedown in pressure vessel components under non-proportional loading. / Muscat, Martin; Hamilton, Robert.

In: ASME Publications PVP, Vol. 447, 2002, p. 95-102.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Elastic shakedown in pressure vessel components under non-proportional loading

AU - Muscat, Martin

AU - Hamilton, Robert

N1 - 10th International Conference on Pressure Vessel Technology

PY - 2002

Y1 - 2002

N2 - Bounding techniques for calculating shakedown loads are of great importance in design since this eliminates the need for performing full elasto-plastic cyclic loading analyses. The classical Melan's lower bound theorem is widely used for calculating shakedown loads of pressure vessel components under proportional loading. Polizzotto extended the Melan's theorem to the case of non-proportional loading acting on a structure. This paper presents a finite element method, based on Polizzotto's theorem, to estimate the elastic shakedown load for a structure subjected to a combination of steady and cyclic mechanical loads. This method, called non-linear superposition, is then applied to investigate the shakedown behaviour of a pressure vessel component - a nozzle/cylinder intersection and that of a biaxially loaded square plate with a central hole. Results obtained for both problems are compared with those available in the literature and are verified by means of cyclic elasto-plastic finite element analysis.

AB - Bounding techniques for calculating shakedown loads are of great importance in design since this eliminates the need for performing full elasto-plastic cyclic loading analyses. The classical Melan's lower bound theorem is widely used for calculating shakedown loads of pressure vessel components under proportional loading. Polizzotto extended the Melan's theorem to the case of non-proportional loading acting on a structure. This paper presents a finite element method, based on Polizzotto's theorem, to estimate the elastic shakedown load for a structure subjected to a combination of steady and cyclic mechanical loads. This method, called non-linear superposition, is then applied to investigate the shakedown behaviour of a pressure vessel component - a nozzle/cylinder intersection and that of a biaxially loaded square plate with a central hole. Results obtained for both problems are compared with those available in the literature and are verified by means of cyclic elasto-plastic finite element analysis.

KW - Melan's theorum

KW - non-proportional loading

KW - Polizzotto's theorem

KW - non-linear superposition

UR - http://www.eng.um.edu.mt/~mmmusc/Vienna_ICPVT_presentation_2003.ppt

UR - http://www.asme.org/Publications/ConfProceedings/

M3 - Article

VL - 447

SP - 95

EP - 102

JO - ASME Publications PVP

T2 - ASME Publications PVP

JF - ASME Publications PVP

SN - 0277-027X

ER -