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

Fingerprint

Dual space
Plasticity
Saddlepoint
Pairing

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)

Cite this

Dual spaces of stresses and strains, with applications to Hencky plasticity. / Kohn, Robert; Temam, Roger.

In: Applied Mathematics & Optimization, Vol. 10, No. 1, 06.1983, p. 1-35.

Research output: Contribution to journalArticle

@article{bc6a5108ec7144c7b67be0052ae623cb,
title = "Dual spaces of stresses and strains, with applications to Hencky plasticity",
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.",
author = "Robert Kohn and Roger Temam",
year = "1983",
month = "6",
doi = "10.1007/BF01448377",
language = "English (US)",
volume = "10",
pages = "1--35",
journal = "Applied Mathematics and Optimization",
issn = "0095-4616",
publisher = "Springer New York",
number = "1",

}

TY - JOUR

T1 - Dual spaces of stresses and strains, with applications to Hencky plasticity

AU - Kohn, Robert

AU - Temam, Roger

PY - 1983/6

Y1 - 1983/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0020765250&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020765250&partnerID=8YFLogxK

U2 - 10.1007/BF01448377

DO - 10.1007/BF01448377

M3 - Article

VL - 10

SP - 1

EP - 35

JO - Applied Mathematics and Optimization

JF - Applied Mathematics and Optimization

SN - 0095-4616

IS - 1

ER -