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A physically motivated modification of the strain equivalence approach

Olsson, M and Ristinmaa, Matti LU (2005) In International Journal of Damage Mechanics 14(1). p.25-50
Abstract
A phenomenological thermodynamic approach used for describing elasto-plasticity coupled with isotropic damage is considered. Using this approach it was recently shown by the authors that certain unwanted features exist in the plasticity-induced damage theories. This paper gives a suggestion on how to solve these issues. Based on physical arguments a simple modification of the postulate of strain equivalence is suggested. To show the effects of the modification, the von Mises plasticity model coupled with isotropic damage is used as a prototype model in the derivations. Both analytical considerations and simulations of a strain-controlled uniaxial model are performed. The results reveal that the modification of the postulate of strain... (More)
A phenomenological thermodynamic approach used for describing elasto-plasticity coupled with isotropic damage is considered. Using this approach it was recently shown by the authors that certain unwanted features exist in the plasticity-induced damage theories. This paper gives a suggestion on how to solve these issues. Based on physical arguments a simple modification of the postulate of strain equivalence is suggested. To show the effects of the modification, the von Mises plasticity model coupled with isotropic damage is used as a prototype model in the derivations. Both analytical considerations and simulations of a strain-controlled uniaxial model are performed. The results reveal that the modification of the postulate of strain equivalence gives promising results. In contrast to the postulates of strain equivalence and (complementary) energy equivalence, the present formulation predicts the elastic strain to vanish when failure takes place. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
strain equivalence, elasto-plasticity, plasticity-induced damage, isotropic damage, damage evolution, thermodynamics
in
International Journal of Damage Mechanics
volume
14
issue
1
pages
25 - 50
publisher
SAGE Publications Inc.
external identifiers
  • wos:000226367500002
  • scopus:12744280542
ISSN
1056-7895
DOI
10.1177/1056789505044286
language
English
LU publication?
yes
id
4976fb54-1abd-4365-ace5-a292192a0d12 (old id 255302)
date added to LUP
2007-08-03 16:16:52
date last changed
2017-01-01 04:46:45
@article{4976fb54-1abd-4365-ace5-a292192a0d12,
  abstract     = {A phenomenological thermodynamic approach used for describing elasto-plasticity coupled with isotropic damage is considered. Using this approach it was recently shown by the authors that certain unwanted features exist in the plasticity-induced damage theories. This paper gives a suggestion on how to solve these issues. Based on physical arguments a simple modification of the postulate of strain equivalence is suggested. To show the effects of the modification, the von Mises plasticity model coupled with isotropic damage is used as a prototype model in the derivations. Both analytical considerations and simulations of a strain-controlled uniaxial model are performed. The results reveal that the modification of the postulate of strain equivalence gives promising results. In contrast to the postulates of strain equivalence and (complementary) energy equivalence, the present formulation predicts the elastic strain to vanish when failure takes place.},
  author       = {Olsson, M and Ristinmaa, Matti},
  issn         = {1056-7895},
  keyword      = {strain equivalence,elasto-plasticity,plasticity-induced damage,isotropic damage,damage evolution,thermodynamics},
  language     = {eng},
  number       = {1},
  pages        = {25--50},
  publisher    = {SAGE Publications Inc.},
  series       = {International Journal of Damage Mechanics},
  title        = {A physically motivated modification of the strain equivalence approach},
  url          = {http://dx.doi.org/10.1177/1056789505044286},
  volume       = {14},
  year         = {2005},
}