Numerical study of the deformations of two coplanar circular cracks during their coalescence

L. Legrand, V. Lazarus

Research output: Contribution to conferencePaperpeer-review

Abstract

Consider two planar circular cracks embedded in an infinite linear elastic media and submitted to mode I tensile loading. Bueckner-Rice weight functions theory allows us to update the stress intensity factor when the crack fronts are slightly deformed in their plane. Using an incremental numerical method based on this theory, we study the propagation of these two cracks when they interact each other taking into account the non-linearities induced by their deformations. The advantage of this method in comparison to more standard finite element methods is that only the crack fronts have to be meshed. Using a Griffith threshold law, we notice important deformations of the crack fronts are observed and a drastically decreasing threshold loading when the fronts approach each other.

Original languageEnglish
Pages1633-1640
Number of pages8
Publication statusPublished - 1 Jan 2013
Externally publishedYes
Event13th International Conference on Fracture 2013, ICF 2013 - Beijing, China
Duration: 16 Jun 201321 Jun 2013

Conference

Conference13th International Conference on Fracture 2013, ICF 2013
Country/TerritoryChina
CityBeijing
Period16/06/1321/06/13

Keywords

  • Brittle fracture
  • Elastic line model
  • Finite element method
  • Toughening

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