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Viscoplasticity based on an additive split of the conjugated forces

Ristinmaa, Matti LU and Ottosen, Niels Saabye LU (1998) In European Journal of Mechanics. A, Solids 17(2). p.207-235
Abstract
A generalized form of viscoplasticity is proposed, within a thermodynamic concept. The theory developed is based on an expansion of the dissipation inequality, where additional quantities are introduced. These quantities are obtained by an additive split of the conjugated thermodynamic forces. Additional potential functions that depend on these quantities can be introduced, which enables one to achieve a generalized form of non-associative viscoplastic theory. Within this concept, the Duvaut-Lions formulation follows naturally as a special case and other important possibilities are also discussed. It is shown that the proposed concept can be generalized to the case where corners exist on the yield and potential functions. Finally, some... (More)
A generalized form of viscoplasticity is proposed, within a thermodynamic concept. The theory developed is based on an expansion of the dissipation inequality, where additional quantities are introduced. These quantities are obtained by an additive split of the conjugated thermodynamic forces. Additional potential functions that depend on these quantities can be introduced, which enables one to achieve a generalized form of non-associative viscoplastic theory. Within this concept, the Duvaut-Lions formulation follows naturally as a special case and other important possibilities are also discussed. It is shown that the proposed concept can be generalized to the case where corners exist on the yield and potential functions. Finally, some specific models that all take the Tresca criterion as the yield surface are discussed and used to illustrate some of the findings. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
European Journal of Mechanics. A, Solids
volume
17
issue
2
pages
207 - 235
publisher
Elsevier
external identifiers
  • scopus:0032010252
ISSN
1873-7285
DOI
10.1016/S0997-7538(98)80083-1
language
English
LU publication?
yes
id
7a01f6b1-8a99-4fc6-a7f5-f30a7ad6af2b (old id 1370058)
date added to LUP
2010-08-24 15:37:19
date last changed
2017-01-01 05:09:32
@article{7a01f6b1-8a99-4fc6-a7f5-f30a7ad6af2b,
  abstract     = {A generalized form of viscoplasticity is proposed, within a thermodynamic concept. The theory developed is based on an expansion of the dissipation inequality, where additional quantities are introduced. These quantities are obtained by an additive split of the conjugated thermodynamic forces. Additional potential functions that depend on these quantities can be introduced, which enables one to achieve a generalized form of non-associative viscoplastic theory. Within this concept, the Duvaut-Lions formulation follows naturally as a special case and other important possibilities are also discussed. It is shown that the proposed concept can be generalized to the case where corners exist on the yield and potential functions. Finally, some specific models that all take the Tresca criterion as the yield surface are discussed and used to illustrate some of the findings.},
  author       = {Ristinmaa, Matti and Ottosen, Niels Saabye},
  issn         = {1873-7285},
  language     = {eng},
  number       = {2},
  pages        = {207--235},
  publisher    = {Elsevier},
  series       = {European Journal of Mechanics. A, Solids},
  title        = {Viscoplasticity based on an additive split of the conjugated forces},
  url          = {http://dx.doi.org/10.1016/S0997-7538(98)80083-1},
  volume       = {17},
  year         = {1998},
}