Dual spaces of stresses and strains, with applications to Hencky plasticity

Robert Kohn, Roger Temam

Research output: Contribution to journalArticle

Abstract

We prove the existence of a dual pairing between admissible stress and displacement fields in the context of Hencky plasticity. We apply this to show (i) that an extremal displacement field exists whenever the safe load condition holds; and (ii) that any extremal stress and displacement fields are related by a "saddle point condition," expressing in weak form the constitutive hypothesis of Hencky plasticity.

Original languageEnglish (US)
Pages (from-to)1-35
Number of pages35
JournalApplied Mathematics & Optimization
Volume10
Issue number1
DOIs
StatePublished - Jun 1983

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics

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