A note on limit analysis

Reuven Segev, Lior Falach

Research output: Contribution to journalArticlepeer-review

Abstract

We present a mathematical framework for the theory of limit analysis of rigid, perfectly plastic bodies where the equality of the static multiplier and kinematic multiplier for incompressible fields is formulated and proved in a compact form. Assuming that the failure criterion is a norm on the space of deviatoric stress fields, we use standard properties of linear operators on Banach spaces.

Original languageEnglish
Pages (from-to)854-869
Number of pages16
JournalMathematics and Mechanics of Solids
Volume15
Issue number8
DOIs
StatePublished - 1 Nov 2010

Keywords

  • Banach's closed range theorem.
  • limit analysis
  • plasticity
  • reduced kinematic multiplier
  • static multiplier

ASJC Scopus subject areas

  • General Mathematics
  • General Materials Science
  • Mechanics of Materials

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