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Non-linear programming in shakedown analysis with plasticity and friction
University of Parma, Italy.
University of Parma, Italy.
University of Michigan, MI 48109 USA.
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0001-8460-0131
2017 (English)In: Journal of the mechanics and physics of solids, ISSN 0022-5096, E-ISSN 1873-4782, Vol. 104, 71-83 p.Article in journal (Refereed) Published
Abstract [en]

Complete frictional contacts, when subjected to cyclic loading, may sometimes develop a favourable situation where slip ceases after a few cycles, an occurrence commonly known as frictional shakedown. Its resemblance to shakedown in plasticity has prompted scholars to apply direct methods, derived from the classical theorems of limit analysis, in order to assess a safe limit to the external loads applied on the system. In circumstances where zones of plastic deformation develop in the material (e.g., because of the large stress concentrations near the sharp edges of a complete contact), it is reasonable to expect an effect of mutual interaction of frictional slip and plastic strains on the load limit below which the global behaviour is non dissipative, i.e., both slip and plastic strains go to zero after some dissipative load cycles. In this paper, shakedown of general two-dimensional discrete systems, involving both friction and plasticity, is discussed and the shakedown limit load is calculated using a non-linear programming algorithm based on the static theorem of limit analysis. An illustrative example related to an elastic-plastic solid containing a frictional crack is provided. (C) 2017 Elsevier Ltd. All rights reserved.

Place, publisher, year, edition, pages
PERGAMON-ELSEVIER SCIENCE LTD , 2017. Vol. 104, 71-83 p.
Keyword [en]
Limit analysis; Shakedown; Complete contact; Friction; Non-linear programming
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:liu:diva-139609DOI: 10.1016/j.jmps.2017.04.006ISI: 000403127700005OAI: oai:DiVA.org:liu-139609DiVA: diva2:1133756
Available from: 2017-08-16 Created: 2017-08-16 Last updated: 2017-09-08

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The full text will be freely available from 2019-04-13 13:49
Available from 2019-04-13 13:49

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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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
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