Modeling of the degradation of elastic properties due to the evolution of ductile damage
Wallin, Mathias LU ; Olsson, Mattias LU and Ristinmaa, Matti LU
(2008)
In International Journal of Damage Mechanics
17.
p.149-172
- Abstract
- An elasto-plastic constitutive model for porous materials is formulated within the thermodynamic framework. The formulation facilitates a natural modeling of damage as well as growth and the shrinkage of voids. Metal plasticity is used for demonstrating the possibilities of the formulation. The yield function employed is assumed to depend upon the void-volume fraction, whereas the free energy is dependent on a scalar damage field. To show the capabilities of the model the algorithmic constitutive equations are derived and implemented into a finite element program. It is shown that an extremely simple system involving only two scalar equations needs to be solved in the constitutive driver. Two numerical examples are considered: the necking... (More)
- An elasto-plastic constitutive model for porous materials is formulated within the thermodynamic framework. The formulation facilitates a natural modeling of damage as well as growth and the shrinkage of voids. Metal plasticity is used for demonstrating the possibilities of the formulation. The yield function employed is assumed to depend upon the void-volume fraction, whereas the free energy is dependent on a scalar damage field. To show the capabilities of the model the algorithmic constitutive equations are derived and implemented into a finite element program. It is shown that an extremely simple system involving only two scalar equations needs to be solved in the constitutive driver. Two numerical examples are considered: the necking of an axi-symmetric bar and localization in a notched specimen. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/609916
- author
- Wallin, Mathias
LU
; Olsson, Mattias
LU
and Ristinmaa, Matti
LU
- organization
- publishing date
- 2008
- type
- Contribution to journal
- publication status
- published
- subject
- in
- International Journal of Damage Mechanics
- volume
- 17
- pages
- 149 - 172
- publisher
- SAGE Publications
- external identifiers
-
- wos:000254471000003
- scopus:40649100125
- ISSN
- 1056-7895
- DOI
- 10.1177/1056789506069468
- language
- English
- LU publication?
- yes
- id
- 85dc720d-1e74-4b56-b0e6-6cc5fb428d19 (old id 609916)
- date added to LUP
- 2016-04-04 10:32:04
- date last changed
- 2022-01-29 20:26:11
@article{85dc720d-1e74-4b56-b0e6-6cc5fb428d19,
abstract = {{An elasto-plastic constitutive model for porous materials is formulated within the thermodynamic framework. The formulation facilitates a natural modeling of damage as well as growth and the shrinkage of voids. Metal plasticity is used for demonstrating the possibilities of the formulation. The yield function employed is assumed to depend upon the void-volume fraction, whereas the free energy is dependent on a scalar damage field. To show the capabilities of the model the algorithmic constitutive equations are derived and implemented into a finite element program. It is shown that an extremely simple system involving only two scalar equations needs to be solved in the constitutive driver. Two numerical examples are considered: the necking of an axi-symmetric bar and localization in a notched specimen.}},
author = {{Wallin, Mathias and Olsson, Mattias and Ristinmaa, Matti}},
issn = {{1056-7895}},
language = {{eng}},
pages = {{149--172}},
publisher = {{SAGE Publications}},
series = {{International Journal of Damage Mechanics}},
title = {{Modeling of the degradation of elastic properties due to the evolution of ductile damage}},
url = {{http://dx.doi.org/10.1177/1056789506069468}},
doi = {{10.1177/1056789506069468}},
volume = {{17}},
year = {{2008}},
}