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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)
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author
organization
publishing date
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
2007-12-02 14:51:22
date last changed
2017-01-01 07:58:25
@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},
  volume       = {17},
  year         = {2008},
}