Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

A constitutive model for ductile damage evolution

Wallin, Mathias LU ; Ristinmaa, Matti LU orcid and Mattias, Olsson (2011) 11th International Conference on Fracture and Damage Mechanics 452-453. p.621-624
Abstract
A constitutive model for ductile porous material is formulated within the thermodynamic framework. A yield function based on the lower-bound solution for a cylindrical void model embedded in a plastic matrix is proposed. The new yield function is compared to the classical Gurson yield function using cell model calculations. The results reveal that the proposed yield function agreed well with the plastic region found from the cell model calculations. In addition to the influence of the void-volume ratio, the elastic part of the free energy is

dependent on a scalar damage field which allows the elasticity to be influenced by the void-volume fraction. The degradation is controlled by a scalar valued damage field and enters the... (More)
A constitutive model for ductile porous material is formulated within the thermodynamic framework. A yield function based on the lower-bound solution for a cylindrical void model embedded in a plastic matrix is proposed. The new yield function is compared to the classical Gurson yield function using cell model calculations. The results reveal that the proposed yield function agreed well with the plastic region found from the cell model calculations. In addition to the influence of the void-volume ratio, the elastic part of the free energy is

dependent on a scalar damage field which allows the elasticity to be influenced by the void-volume fraction. The degradation is controlled by a scalar valued damage field and enters the formulation via the Helmholtz's free energy. This dependence allows the elastic properties to naturally depend upon the damage accumulation. The numerical treatment of the model is derived and the capability of the model is demonstrated via numerical simulation of the necking of an axi-symmetric bar. (Less)
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Key Engineering Materials
volume
452-453
pages
3 pages
publisher
Trans Tech Publications
conference name
11th International Conference on Fracture and Damage Mechanics
conference location
Nagasaki, Japan
conference dates
2010-09-22
external identifiers
  • wos:000287421700156
  • scopus:78650734448
ISSN
1013-9826
DOI
10.4028/www.scientific.net/KEM.452-453.621
language
English
LU publication?
yes
id
f533911a-6ee6-491c-a30e-54488964a7f7 (old id 1653514)
date added to LUP
2016-04-01 15:06:15
date last changed
2022-01-28 04:32:06
@inproceedings{f533911a-6ee6-491c-a30e-54488964a7f7,
  abstract     = {{A constitutive model for ductile porous material is formulated within the thermodynamic framework. A yield function based on the lower-bound solution for a cylindrical void model embedded in a plastic matrix is proposed. The new yield function is compared to the classical Gurson yield function using cell model calculations. The results reveal that the proposed yield function agreed well with the plastic region found from the cell model calculations. In addition to the influence of the void-volume ratio, the elastic part of the free energy is<br/><br>
dependent on a scalar damage field which allows the elasticity to be influenced by the void-volume fraction. The degradation is controlled by a scalar valued damage field and enters the formulation via the Helmholtz's free energy. This dependence allows the elastic properties to naturally depend upon the damage accumulation. The numerical treatment of the model is derived and the capability of the model is demonstrated via numerical simulation of the necking of an axi-symmetric bar.}},
  author       = {{Wallin, Mathias and Ristinmaa, Matti and Mattias, Olsson}},
  booktitle    = {{Key Engineering Materials}},
  issn         = {{1013-9826}},
  language     = {{eng}},
  pages        = {{621--624}},
  publisher    = {{Trans Tech Publications}},
  title        = {{A constitutive model for ductile damage evolution}},
  url          = {{http://dx.doi.org/10.4028/www.scientific.net/KEM.452-453.621}},
  doi          = {{10.4028/www.scientific.net/KEM.452-453.621}},
  volume       = {{452-453}},
  year         = {{2011}},
}