The anisotropic R-criterion for crack initiation

Shafique M A Khan, Marwan Khraisheh

Research output: Contribution to journalArticle

11 Citations (Scopus)


The anisotropic nature of mixed modes I-II crack tip plastic core region and crack initiation is investigated in this study using an angled crack plate problem under various loading conditions. Hill's anisotropic yield criterion along with singular elastic stress field at the crack tip is employed to obtain the non-dimensional variable-radius crack tip plastic core region. In addition, the R-criterion for crack initiation proposed by the authors for isotropic materials is also extended to include anisotropy. The effect of Hill's anisotropic constants on the shape and size of the crack tip plastic core region and crack initiation angle is presented for both plane stress and plane strain conditions at the crack tip. The study shows a significant effect of anisotropy on the crack tip core region and crack initiation angle and calls for further development of anisotropic crack initiation theory.

Original languageEnglish
Pages (from-to)4257-4278
Number of pages22
JournalEngineering Fracture Mechanics
Issue number14
Publication statusPublished - 1 Sep 2008
Externally publishedYes



  • Anisotropy
  • Crack initiation
  • Crack tip plasticity
  • Mixed mode fracture
  • Stress intensity factor

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this