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Damage evolution in elasto-plastic materials - Material response due to different concepts

Olsson, Mattias LU and Ristinmaa, Matti LU orcid (2003) In International Journal of Damage Mechanics 12(2). p.115-139
Abstract
The purpose of this paper is to show that shortcomings exist in the plasticity induced damage theories. Existing phenomenological thermodynamic approaches used for describing elasto-plasticity coupled with damage are therefore evaluated. Within the concept of effective stress both the postulate of strain equivalence and the postulate of (complementary) energy equivalence, as well as extensions of the postulates, are considered. As a prototype model the von Mises plasticity model coupled with isotropic damage is considered. Simulations of a strain-controlled uniaxial model are also performed. The results reveal that a mapping, similar to that of the stress, of both the kinematic and isotropic hardening variables is to be preferred. More... (More)
The purpose of this paper is to show that shortcomings exist in the plasticity induced damage theories. Existing phenomenological thermodynamic approaches used for describing elasto-plasticity coupled with damage are therefore evaluated. Within the concept of effective stress both the postulate of strain equivalence and the postulate of (complementary) energy equivalence, as well as extensions of the postulates, are considered. As a prototype model the von Mises plasticity model coupled with isotropic damage is considered. Simulations of a strain-controlled uniaxial model are also performed. The results reveal that a mapping, similar to that of the stress, of both the kinematic and isotropic hardening variables is to be preferred. More interesting is that, irrespective of the postulate employed, the elastic strain will not equal zero when failure takes place, i.e. the interpretation of elastic strain is lost. From the results it is also concluded that (complementary) energy equivalence have some undesirable properties. (Less)
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
strain equivalence, clasto-plasticity, plasticity induced damage, isotropic damage, damage evolution, thermodynamics, energy equivalence
in
International Journal of Damage Mechanics
volume
12
issue
2
pages
115 - 139
publisher
SAGE Publications
external identifiers
  • wos:000225485700002
  • scopus:0037532576
ISSN
1056-7895
DOI
10.1177/1056789503012002002
language
English
LU publication?
yes
id
7af06692-3213-4fba-904b-a3710b14faf4 (old id 259653)
date added to LUP
2016-04-01 12:25:10
date last changed
2022-01-27 03:27:30
@article{7af06692-3213-4fba-904b-a3710b14faf4,
  abstract     = {{The purpose of this paper is to show that shortcomings exist in the plasticity induced damage theories. Existing phenomenological thermodynamic approaches used for describing elasto-plasticity coupled with damage are therefore evaluated. Within the concept of effective stress both the postulate of strain equivalence and the postulate of (complementary) energy equivalence, as well as extensions of the postulates, are considered. As a prototype model the von Mises plasticity model coupled with isotropic damage is considered. Simulations of a strain-controlled uniaxial model are also performed. The results reveal that a mapping, similar to that of the stress, of both the kinematic and isotropic hardening variables is to be preferred. More interesting is that, irrespective of the postulate employed, the elastic strain will not equal zero when failure takes place, i.e. the interpretation of elastic strain is lost. From the results it is also concluded that (complementary) energy equivalence have some undesirable properties.}},
  author       = {{Olsson, Mattias and Ristinmaa, Matti}},
  issn         = {{1056-7895}},
  keywords     = {{strain equivalence; clasto-plasticity; plasticity induced damage; isotropic damage; damage evolution; thermodynamics; energy equivalence}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{115--139}},
  publisher    = {{SAGE Publications}},
  series       = {{International Journal of Damage Mechanics}},
  title        = {{Damage evolution in elasto-plastic materials - Material response due to different concepts}},
  url          = {{http://dx.doi.org/10.1177/1056789503012002002}},
  doi          = {{10.1177/1056789503012002002}},
  volume       = {{12}},
  year         = {{2003}},
}