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Shakedown of a plate with a circular hole: an educational problem

Abstract:
The shakedown limit for an infinite plate containing a circular hole and subject to oscillatory arbitrary remote loading is found, first by using Melan’s lower bound theorem, and secondly by using a finite element model. It is shown that in some cases the limit found from the Melan theorem using the solution for the residual state of stress for an over-pressurized hole provides the exact solution, specifically when the limiting factor is the reversal of the state of stress at a particular point, while in other cases the shakedown limit is rather higher.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1177/03093247231163205

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author


Publisher:
SAGE Publications
Journal:
Journal of Strain Analysis for Engineering Design More from this journal
Volume:
58
Issue:
8
Pages:
684-694
Publication date:
2023-03-27
Acceptance date:
2023-02-16
DOI:
EISSN:
2041-3130
ISSN:
0309-3247


Language:
English
Keywords:
Pubs id:
1330991
Local pid:
pubs:1330991
Deposit date:
2023-03-02

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