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Enhanced fictitious crack model accounting for material drawn into the cohesive zone : physically based crack closure criterion

Ottosen, Niels Saabye LU and Ristinmaa, Matti LU (2016) In International Journal of Fracture 199(2). p.199-211
Abstract

According to the fictitious crack model, the crack width is infinitely thin at crack initiation and with further loading the crack opens, but no material exists in the cohesive zone. Despite that, the crack is assumed to able to sustain a load. While this is possible at the atomic level, it is not a realistic assumption for the macroscopic behavior we are considering. Invoking the mass conservation law and by postulating a relation between the porosity f of the cohesive zone and the damage variable κn, which is that part of the damage variable (κ) that is related to opening of the crack, it is shown that the fictitious crack model can be enhanced so that it accounts for material that is drawn into the cohesive zone. In turn,... (More)

According to the fictitious crack model, the crack width is infinitely thin at crack initiation and with further loading the crack opens, but no material exists in the cohesive zone. Despite that, the crack is assumed to able to sustain a load. While this is possible at the atomic level, it is not a realistic assumption for the macroscopic behavior we are considering. Invoking the mass conservation law and by postulating a relation between the porosity f of the cohesive zone and the damage variable κn, which is that part of the damage variable (κ) that is related to opening of the crack, it is shown that the fictitious crack model can be enhanced so that it accounts for material that is drawn into the cohesive zone. In turn, the amount of material present in the cohesive zone implies a consistent and physically based crack closure criterion. The concepts are first discussed in detail for uniaxial loading and then generalized to arbitrary loadings.

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Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Cohesive zone, Crack closure, Mass conservation
in
International Journal of Fracture
volume
199
issue
2
pages
13 pages
publisher
Springer
external identifiers
  • scopus:84961203498
  • wos:000380002300005
ISSN
0376-9429
DOI
10.1007/s10704-016-0105-y
language
English
LU publication?
yes
id
175fd4a3-4b9a-4e11-9591-1fc196636329
date added to LUP
2016-06-23 13:15:00
date last changed
2017-06-11 05:06:35
@article{175fd4a3-4b9a-4e11-9591-1fc196636329,
  abstract     = {<p>According to the fictitious crack model, the crack width is infinitely thin at crack initiation and with further loading the crack opens, but no material exists in the cohesive zone. Despite that, the crack is assumed to able to sustain a load. While this is possible at the atomic level, it is not a realistic assumption for the macroscopic behavior we are considering. Invoking the mass conservation law and by postulating a relation between the porosity f of the cohesive zone and the damage variable κ<sub>n</sub>, which is that part of the damage variable (κ) that is related to opening of the crack, it is shown that the fictitious crack model can be enhanced so that it accounts for material that is drawn into the cohesive zone. In turn, the amount of material present in the cohesive zone implies a consistent and physically based crack closure criterion. The concepts are first discussed in detail for uniaxial loading and then generalized to arbitrary loadings.</p>},
  author       = {Ottosen, Niels Saabye and Ristinmaa, Matti},
  issn         = {0376-9429},
  keyword      = {Cohesive zone,Crack closure,Mass conservation},
  language     = {eng},
  month        = {06},
  number       = {2},
  pages        = {199--211},
  publisher    = {Springer},
  series       = {International Journal of Fracture},
  title        = {Enhanced fictitious crack model accounting for material drawn into the cohesive zone : physically based crack closure criterion},
  url          = {http://dx.doi.org/10.1007/s10704-016-0105-y},
  volume       = {199},
  year         = {2016},
}