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

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Author

Summary, in English

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.

Department/s

Publishing year

2016-06-01

Language

English

Pages

199-211

Publication/Series

International Journal of Fracture

Volume

199

Issue

2

Document type

Journal article

Publisher

Springer

Topic

  • Materials Engineering

Keywords

  • Cohesive zone
  • Crack closure
  • Mass conservation

Status

Published

ISBN/ISSN/Other

  • ISSN: 0376-9429