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Shakedown of discrete systems involving plasticity and friction
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0001-8460-0131
University of Michigan, MI 48109 USA.
University of Parma, Italy.
University of Parma, Italy.
2017 (English)In: European journal of mechanics. A, Solids, ISSN 0997-7538, E-ISSN 1873-7285, Vol. 64, 160-164 p.Article in journal (Refereed) Published
Abstract [en]

In associated plasticity, systems subjected to cyclic loading are sometimes predicted to shake down, meaning that, after some dissipative cycles, the response goes back to a purely elastic state, where no plastic flow occurs. Frictional systems show a similar behaviour, in the sense that frictional slips due to the external loads may cease after some cycles. It has been proved that, for complete contacts with elastic behaviour and Coulomb friction, Melans theorem gives a sufficient condition for the system to shake down, if and only if there is no normal-tangential coupling at the interfaces. In this paper, the case of discrete systems combining elastic-plastic behaviour and Coulomb friction is considered. In particular, it is proved that Melans theorem still holds for contact-wise uncoupled systems, i.e., the existence of a residual state, comprised of frictional slips and plastic strains, is a sufficient condition for the system to shake down. (C) 2017 Elsevier Masson SAS. All rights reserved.

Place, publisher, year, edition, pages
ELSEVIER SCIENCE BV , 2017. Vol. 64, 160-164 p.
Keyword [en]
Contact problems; Limit analysis; Shakedown; Melans theorem; Coulomb friction
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:liu:diva-137370DOI: 10.1016/j.euromechsol.2017.02.006ISI: 000399515700012OAI: oai:DiVA.org:liu-137370DiVA: diva2:1096709
Available from: 2017-05-18 Created: 2017-05-18 Last updated: 2017-06-15

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The full text will be freely available from 2019-02-27 14:12
Available from 2019-02-27 14:12

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf