Plane strain extension of a strip made of a material with stress state type dependent properties and weakened by cuts with circular base

E. V. Lomakin, B. N. Fedulov

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

The limit properties of many heterogeneous materials such as grounds, concrete, ceramics, cast-iron alloys, and various heat-resistant and powder materials, as well as the properties of many composite materials, depend on the loading conditions. Neglecting the effects exhibited by such materials may result in nonconservative limit load analysis for some types of loading and possibly in an overly increased end product weight by failing to take into account stronger material properties for other types of loading. This paper presents a possible approach to modeling the behavior of such materials under plastic deformation, which is demonstrated for the sample problem on the extension of a strip weakened by cuts with circular base. An analytic solution on the basis of a rigid-plastic model of the material and a numerical solution by the finite elementmethod with elastic strains and small strengthening taken into account are presented.

Original languageEnglish
Pages (from-to)424-430
Number of pages7
JournalMechanics of Solids
Volume48
Issue number4
DOIs
Publication statusPublished - Jul 2013
Externally publishedYes

Keywords

  • constitutive relations
  • dilating medium
  • limit state
  • material with stress state type dependent properties
  • plasticity

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