A study of thermodynamic restrictions, constraint conditions, and material symmetry in fully strain-space theories of plasticity

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Abstract

A thermodynamic theory is presented for modeling elastic-plastic response at large deformations. A study is conducted on how one may impose different constraint conditions, including that imposed by the yield function, and the implications of the entropy production inequality on the elastic-plastic response in the presence of these constraints. Both single and multiple constraints are considered. Representations are provided for Cauchy stress, heat flux, free energy, entropy, the flow rule, and the hardening rule for an initially isotropic material.

Original languageEnglish (US)
Pages (from-to)679-724
Number of pages46
JournalInternational Journal of Plasticity
Volume11
Issue number6
DOIs
StatePublished - 1995

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Plasticity
Entropy
Thermodynamics
Plastics
Free energy
Hardening
Heat flux

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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title = "A study of thermodynamic restrictions, constraint conditions, and material symmetry in fully strain-space theories of plasticity",
abstract = "A thermodynamic theory is presented for modeling elastic-plastic response at large deformations. A study is conducted on how one may impose different constraint conditions, including that imposed by the yield function, and the implications of the entropy production inequality on the elastic-plastic response in the presence of these constraints. Both single and multiple constraints are considered. Representations are provided for Cauchy stress, heat flux, free energy, entropy, the flow rule, and the hardening rule for an initially isotropic material.",
author = "Mehrdad Negahban",
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AB - A thermodynamic theory is presented for modeling elastic-plastic response at large deformations. A study is conducted on how one may impose different constraint conditions, including that imposed by the yield function, and the implications of the entropy production inequality on the elastic-plastic response in the presence of these constraints. Both single and multiple constraints are considered. Representations are provided for Cauchy stress, heat flux, free energy, entropy, the flow rule, and the hardening rule for an initially isotropic material.

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