Evaluating shakedown under proportional loading by non-linear static analysis

D. Mackenzie, R. Hamilton, Martin Muscat

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

A lower bound method for calculating shakedown loads under proportional loading by static non-linear finite element analysis is presented. Stress fields obtained by static analysis and stress superposition are substituted into Melan's lower bound shakedown theorem. The proposed method is applied to two sample problems: a thick cylinder under internal pressure and a square plate with a central hole under proportional biaxial loading. The results indicate that the method gives accurate lower bound shakedown loads for these problems.
LanguageEnglish
Pages1727-1737
Number of pages10
JournalComputers and Structures
Volume81
Issue number17
DOIs
Publication statusPublished - 2003

Fingerprint

Static analysis
Static Analysis
Nonlinear Analysis
Directly proportional
Lower bound
Two-sample Problem
Nonlinear Finite Element
Biaxial
Stress Field
Finite element method
Superposition
Internal
Theorem

Keywords

  • plasticity
  • cyclic loading
  • incremental plastic collapse
  • shakedown
  • ratchetting
  • plastics
  • mechanical engineering

Cite this

@article{0cdda16e2d3a40b8a74e3fb491a59f19,
title = "Evaluating shakedown under proportional loading by non-linear static analysis",
abstract = "A lower bound method for calculating shakedown loads under proportional loading by static non-linear finite element analysis is presented. Stress fields obtained by static analysis and stress superposition are substituted into Melan's lower bound shakedown theorem. The proposed method is applied to two sample problems: a thick cylinder under internal pressure and a square plate with a central hole under proportional biaxial loading. The results indicate that the method gives accurate lower bound shakedown loads for these problems.",
keywords = "plasticity, cyclic loading, incremental plastic collapse, shakedown, ratchetting, plastics, mechanical engineering",
author = "D. Mackenzie and R. Hamilton and Martin Muscat",
year = "2003",
doi = "10.1016/S0045-7949(03)00181-0",
language = "English",
volume = "81",
pages = "1727--1737",
journal = "Computers and Structures",
issn = "0045-7949",
number = "17",

}

Evaluating shakedown under proportional loading by non-linear static analysis. / Mackenzie, D.; Hamilton, R.; Muscat, Martin.

In: Computers and Structures, Vol. 81, No. 17, 2003, p. 1727-1737.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Evaluating shakedown under proportional loading by non-linear static analysis

AU - Mackenzie, D.

AU - Hamilton, R.

AU - Muscat, Martin

PY - 2003

Y1 - 2003

N2 - A lower bound method for calculating shakedown loads under proportional loading by static non-linear finite element analysis is presented. Stress fields obtained by static analysis and stress superposition are substituted into Melan's lower bound shakedown theorem. The proposed method is applied to two sample problems: a thick cylinder under internal pressure and a square plate with a central hole under proportional biaxial loading. The results indicate that the method gives accurate lower bound shakedown loads for these problems.

AB - A lower bound method for calculating shakedown loads under proportional loading by static non-linear finite element analysis is presented. Stress fields obtained by static analysis and stress superposition are substituted into Melan's lower bound shakedown theorem. The proposed method is applied to two sample problems: a thick cylinder under internal pressure and a square plate with a central hole under proportional biaxial loading. The results indicate that the method gives accurate lower bound shakedown loads for these problems.

KW - plasticity

KW - cyclic loading

KW - incremental plastic collapse

KW - shakedown

KW - ratchetting

KW - plastics

KW - mechanical engineering

UR - http://dx.doi.org/10.1016/S0045-7949(03)00181-0

U2 - 10.1016/S0045-7949(03)00181-0

DO - 10.1016/S0045-7949(03)00181-0

M3 - Article

VL - 81

SP - 1727

EP - 1737

JO - Computers and Structures

T2 - Computers and Structures

JF - Computers and Structures

SN - 0045-7949

IS - 17

ER -